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Bio-inspired offset array design for enhanced range in underwater active electrosensing with neural network-based localization
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作者 Meijiang Hou Jiegang Peng +2 位作者 Minan Yang Taoyu Jiang Yang Chen 《Defence Technology(防务技术)》 2026年第3期217-245,共29页
Addressing the critical detection range limitation in active electrosensing(AES)for underwater sensing,this study proposes an enhanced AES system via novel array optimization.While AES offers advantages like interfere... Addressing the critical detection range limitation in active electrosensing(AES)for underwater sensing,this study proposes an enhanced AES system via novel array optimization.While AES offers advantages like interference immunity,acoustic stealth detection,and low cost,its short range restricts applicability.A target perturbation model under differential signal acquisition reveals that signal strength increases with local electric field intensity,target size,differential channel spacing,and conductivity contrast,but decreases with target-electrode distance.To extend detection,novel array configurations were explored.Simulations demonstrate that both rectangular and offset arrays significantly outperform the traditional collinear layout.Specifically,an offset array(with 8 m transmitting–receiving spacing)achieved an effective detection range enhancement exceeding 83%under the same distortion threshold while maintaining simplified electrode structure.Experimental validation confirmed a 100%increase in maximum detection distance to 5 m under identical noise thresholds compared to the collinear array.Furthermore,a fully connected neural network-based localization model achieved a mean positioning error of 14.12 cm at 3.15 m in static scenarios.In dynamic scenarios within 1–3 m,mean errors were controlled between 13.19 cm and 27.56 cm.Mechanistic analysis indicates that increasing the array baseline enhances the signal-to-noise ratio by simultaneously suppressing near-field environmental noise and amplifying far-field signal reception.Structural innovations in array design enabled this study to significantly expand the detection range of AES systems without compromising cost efficiency.These advancements directly promote the engineering application of AES technology,offering critical technical support for underwater defense security monitoring,long-range early warning systems,and maritime rights protection. 展开更多
关键词 Active electrical sensing Target perturbation model Array optimization Detection range Fuly connected neural network
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Outdoor navigation of millimeter-wave radar quadrotors based on optimal virtual tube
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作者 WU Delong FANG Hao +1 位作者 HAO Yiren WANG Aobo 《Journal of Systems Engineering and Electronics》 2025年第4期1057-1067,共11页
This paper presents a quadcopter system for naviga-tion in outdoor urban environments.The main contributions include the hardware design,the establishment of global occu-pancy grid maps based on millimeter-wave radars... This paper presents a quadcopter system for naviga-tion in outdoor urban environments.The main contributions include the hardware design,the establishment of global occu-pancy grid maps based on millimeter-wave radars,the trajec-tory planning scheme based on optimal virtual tube methods,and the controller structure based on dynamics.The proposed system focuses on utilizing a compact and lightweight quadro-tor with sensors to achieve navigation that conforms to the direction of urban roads with high computational efficiency and safety.Our work is an application of millimeter-wave radars and virtual tube planning for obstacle avoidance in navigation.The validness and effectiveness of the proposed system are verified by experiments. 展开更多
关键词 quadrotor navigation obstacle avoidance millimeter-wave radar virtual tube planning.
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Damage effectiveness characterization model of laser weapon systems under the impact of spatial position and atmospheric condition
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作者 LIU Wei ZHANG Lin +3 位作者 YUN Tao MENG Xianliang ZHANG Bo SONG Yafei 《Journal of Systems Engineering and Electronics》 2025年第5期1281-1295,共15页
The emergence of laser technology has led to the gradual integration of laser weapon system(LaWS)into military scene,particularly in the field of anti-unmanned aerial vehicle(UAV),showcasing significant potential.Howe... The emergence of laser technology has led to the gradual integration of laser weapon system(LaWS)into military scene,particularly in the field of anti-unmanned aerial vehicle(UAV),showcasing significant potential.However,A current limitation lies in the absence of a comprehensive quantitative approach to assess the capabilities of LaWS.To address this issue,a damage effectiveness characterization model for LaWS is established,taking into account the properties of laser transmission through the atmosphere and the thermal damage effects.By employing this model,key parameters pertaining to the effectiveness of laser damage are determined.The impact of various spatial positions and atmospheric conditions on the damage effectiveness of LaWS have been examined,employing simulation experiments with diverse parameters.The conclusions indicate that the damage effectiveness of LaWS is contingent upon the spatial position of the target,resulting in a diminished effectiveness to damage on distant,low-altitude targets.Additionally,the damage effectiveness of LaWS is heavily reliant on the atmospheric condition,particularly in complex settings such as midday and low visibility conditions,where the damage effectiveness is substantially reduced.This paper provides an accurate and effective calculation method for the rapid decisionmaking of the operators. 展开更多
关键词 laser weapon system damage effectiveness atmospheric transmission thermal damage anti-unmanned aerial vehicle
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A survey on passing-through control of multi-robot systems in cluttered environments
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作者 GAO Yan BAI Chenggang QUAN Quan 《Journal of Systems Engineering and Electronics》 2025年第4期1037-1056,共20页
This survey presents a comprehensive review of vari-ous methods and algorithms related to passing-through control of multi-robot systems in cluttered environments.Numerous studies have investigated this area,and we id... This survey presents a comprehensive review of vari-ous methods and algorithms related to passing-through control of multi-robot systems in cluttered environments.Numerous studies have investigated this area,and we identify several avenues for enhancing existing methods.This survey describes some models of robots and commonly considered control objec-tives,followed by an in-depth analysis of four types of algo-rithms that can be employed for passing-through control:leader-follower formation control,multi-robot trajectory planning,con-trol-based methods,and virtual tube planning and control.Fur-thermore,we conduct a comparative analysis of these tech-niques and provide some subjective and general evaluations. 展开更多
关键词 multi-robot system passing-through control forma-tion trajectory planning virtual tube.
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Differential flatness ADRC for high-speed steering of tracked tank systems
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作者 XIA Yuanqing SUN Zhongqi +4 位作者 DAI Li ZHAN Yufeng ZHAI Dihua ZHAO Wenjun PU Fan 《Journal of Systems Engineering and Electronics》 2025年第6期1665-1678,共14页
This paper proposes a differential-fatness-based active disturbance rejection control(ADRC)for high-speed steering control of tracked tank systems.Firstly,a high-speed steering model is established by considering the ... This paper proposes a differential-fatness-based active disturbance rejection control(ADRC)for high-speed steering control of tracked tank systems.Firstly,a high-speed steering model is established by considering the lateral component of the centrifugal force acting on the tank on the basis of modeling and analyzing the dynamic model of the low-speed steering system.Secondly,we propose a differential-flatness ADRC approach by converting the under-actuated system to a fully driven flat one.Moreover,we prove the differential flatness of the steering system,which facilitates a two-channel ADRC development.Finally,we show that both the states of the flat system and the original under-actuated system can track the reference trajectory.On the external interference condition,the system is observed to re-track the target signal within 2 s. 展开更多
关键词 tracked tank steering system differential flatness active disturbance rejection control(ADRC)
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Robust current tracking control for three-phase grid-connected inverters with LCL filter
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作者 LIU Wei WU Ben +2 位作者 SUN Wei-jie XUE Ying CAI Feng-huang 《控制理论与应用》 北大核心 2026年第1期41-51,共11页
This article investigates the robust current tracking control problem of three-phase grid-connected inverters with LCL filter under external disturbance by a dynamic state feedback control method.First,this paper cons... This article investigates the robust current tracking control problem of three-phase grid-connected inverters with LCL filter under external disturbance by a dynamic state feedback control method.First,this paper constructs an internal model to learn the information of the states and input of the grid-connected inverter under steady state.Second,by utilizing the internal model principle,the paper turns the tracking control problem into the robust stabilization control problem based on some appropriate coordinate transformations.Then,The paper designs a dynamics state feedback control law to deal with this robust stabilization problem,and thus the solution of the robust current tracking control problem of three-phase grid-connected inverters can be obtained.This control method can ensure the asymptotic stability of the closedloop system.Finally,the paper illustrates the effectiveness of the proposed control approach through several groups of simulations,and compares it with the feedforward control method to verify the robustness of the proposed control method to uncertain parameters. 展开更多
关键词 grid-connected inverter internal model principle current tracking disturbance suppression robust control
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Research on unmanned swarm scheduling strategies for mountain obstacle-breaching missions
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作者 WANG Kaisheng HUANG Yanyan +1 位作者 TAN Jinxi ZHAI Wenjie 《Journal of Systems Engineering and Electronics》 2026年第1期26-35,共10页
In response to the challenges faced by unmanned swarms in mountain obstacle-breaching missions within complex terrains,such as poor task-resource coupling,lengthy solution generation times,and poor inter-platform coll... In response to the challenges faced by unmanned swarms in mountain obstacle-breaching missions within complex terrains,such as poor task-resource coupling,lengthy solution generation times,and poor inter-platform collaboration,an unmanned swarm scheduling strategy tailored is proposed for mountain obstacle-breaching missions.Initially,by formalizing the descriptions of obstacle breaching operations,the swarm,and obstacle targets,an optimization model is constructed with the objectives of expected global benefit,timeliness,and task completion degree.A meta-task decomposition and reassembly strategy is then introduced to more precisely match the capabilities of unmanned platforms with task requirements.Additionally,a meta-task decomposition optimization model and a meta-task allocation operator are incorporated to achieve efficient allocation of swarm resources and collaborative scheduling.Simulation results demonstrate that the model can accurately generate reasonable and feasible obstacle breaching execution plans for unmanned swarms based on specific task requirements and environmental conditions.Moreover,compared to conventional strategies,the proposed strategy enhances task completion degree and expected returns while reducing the execution time of the plans. 展开更多
关键词 mountain obstacle breaching unmanned swarm task scheduling META-TASK
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Hybrid path planning for USVs using improved A^(*)and DWA
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作者 WANG Guangwei YANG Le +2 位作者 TAN Zhikun LI Yichen YU Wenbin 《Journal of Systems Engineering and Electronics》 2026年第1期45-63,共19页
A safe and reliable path planning algorithm is fundamental for unmanned surface vehicles(USVs)to perform autonomous navigation tasks.However,a single global or local planning strategy cannot fully meet the requirement... A safe and reliable path planning algorithm is fundamental for unmanned surface vehicles(USVs)to perform autonomous navigation tasks.However,a single global or local planning strategy cannot fully meet the requirements of complex maritime environments.Global planning alone cannot effectively handle dynamic obstacles,while local planning alone may fall into local optima.To address these issues,this paper proposes a multi-dynamic-obstacle avoidance path planning method that integrates an improved A^(*)algorithm with the dynamic window approach(DWA).The traditional A^(*)algorithm often generates paths that are too close to obstacle boundaries and contain excessive turning points,whereas the traditional DWA tends to skirt densely clustered obstacles,resulting in longer routes and insufficient dynamic obstacle avoidance.To overcome these limitations,improved versions of both algorithms are developed.Key points extracted from the optimized A^(*)path are used as intermediate start-destination pairs for the improved DWA,and the weights of the DWA evaluation function are adjusted to achieve effective fusion.Furthermore,a multi-dynamic-obstacle avoidance strategy is designed for complex navigation scenarios.Simulation results demonstrate that the USV can adaptively switch between dynamic obstacle avoidance and path tracking based on obstacle distribution,validating the effectiveness of the proposed method. 展开更多
关键词 multiple dynamic obstacles A^(*)algorithm dynamic window approach(DWA) unmanned surface vehicle(USV) path planning collision avoidance
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Distributed continuous-time aggregative optimization and its applications to power generation systems
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作者 XIAN Chengxin ZHAO Yu LIU Yongfang 《Journal of Systems Engineering and Electronics》 2026年第1期1-8,共8页
This paper investigates the distributed continuoustime aggregative optimization problem for second-order multiagent systems,where the local cost function is not only related to its own decision variables,but also to t... This paper investigates the distributed continuoustime aggregative optimization problem for second-order multiagent systems,where the local cost function is not only related to its own decision variables,but also to the aggregation of the decision variables of all the agents.By using the gradient descent method,the distributed average tracking(DAT)technique and the time-base generator(TBG)technique,a distributed continuous-time aggregative optimization algorithm is proposed.Subsequently,the optimality of the system's equilibrium point is analyzed,and the convergence of the closed-loop system is proved using the Lyapunov stability theory.Finally,the effectiveness of the proposed algorithm is validated through case studies on multirobot systems and power generation systems. 展开更多
关键词 distributed continuous-time aggregative optimization distributed average tracking(DAT) time-base generator(TBG)
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Improved MPPT Control Based on the Reduction of Tracking Range 被引量:11
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作者 YIN Minghui ZHANG Xiaolian YE Xing ZOU Yun 《中国电机工程学报》 EI CSCD 北大核心 2012年第27期I0002-I0002,178,共1页
考虑到基于转矩调整的改进方法存在难以获取最优调整状态的问题,该文针对传统功率曲线法提出收缩风机转速的跟踪区间、减小跟踪路程的改进思路,以优化风机最大功率点跟踪的性能。在此基础上,设计出根据平均风速,周期性的调整起始发... 考虑到基于转矩调整的改进方法存在难以获取最优调整状态的问题,该文针对传统功率曲线法提出收缩风机转速的跟踪区间、减小跟踪路程的改进思路,以优化风机最大功率点跟踪的性能。在此基础上,设计出根据平均风速,周期性的调整起始发电转速的改进功率曲线法。其设计机理在于风速平均值恰好反映了风速及风能量集中分布的区间。因此,最优转速跟踪区间与平均风速存在数量上的直接关系而变得容易预估,且无需迭代搜索。与目前基于调整转矩的改进方法相比,该文所提方法不仅提高了风能捕获效率,且简单易行。最后,通过对模拟风速序列的仿真计算与比较分析,验证了该方法的有效性和先进性。 展开更多
关键词 最大功率点跟踪 MPPT 控制策略 风力涡轮机 电机转矩 功率曲线 PSF 信号反馈
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An adaptive backstepping sliding mode method for flight attitude of quadrotor UAVs 被引量:19
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作者 JIANG Xue-ying SU Cheng-li +3 位作者 XU Ya-peng LIU Kai SHI Hui-yuan LI Ping 《Journal of Central South University》 SCIE EI CAS CSCD 2018年第3期616-631,共16页
To overcome nonlinear and 6-DOF(degrees of freedom)under-actuated problems for the attitude and position of quadrotor UAVs,an adaptive backstepping sliding mode method for flight attitude of quadrotor UAVs is proposed... To overcome nonlinear and 6-DOF(degrees of freedom)under-actuated problems for the attitude and position of quadrotor UAVs,an adaptive backstepping sliding mode method for flight attitude of quadrotor UAVs is proposed,in which an adaptive law is designed to online estimate the parameter variations and the upper bound of external disturbances and the assessments is utilized to compensate the backstepping sliding mode control.In addition,the tracking error of the design method is shown to asymptotically converge to zero by using Lyapunov theory.Finally,based on the numerical simulation of quadrotor UAVs using the setting parameters,the results show that the proposed control approach can stabilize the attitude and has hover flight capabilities under the parameter perturbations and external disturbances. 展开更多
关键词 quadrotor UAVs adaptive backstepping sliding mode adaptive law tracking error
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Adaptive unscented Kalman filter for parameter and state estimation of nonlinear high-speed objects 被引量:11
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作者 Fang Deng Jie Chen Chen Chen 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2013年第4期655-665,共11页
An adaptive unscented Kalman filter(AUKF)and an augmented state method are employed to estimate the timevarying parameters and states of a kind of nonlinear high-speed objects.A strong tracking filter is employed to i... An adaptive unscented Kalman filter(AUKF)and an augmented state method are employed to estimate the timevarying parameters and states of a kind of nonlinear high-speed objects.A strong tracking filter is employed to improve the tracking ability and robustness of unscented Kalman filter(UKF)when the process noise is inaccuracy,and wavelet transform is used to improve the estimate accuracy by the variance of measurement noise.An augmented square-root framework is utilized to improve the numerical stability and accuracy of UKF.Monte Carlo simulations and applications in the rapid trajectory estimation of hypersonic artillery shells confirm the effectiveness of the proposed method. 展开更多
关键词 parameter estimation state estimation unscented Kalman filter(UKF) strong tracking filter wavelet transform.
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Control system design of flying-wing UAV based on nonlinear methodology 被引量:11
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作者 Ji-guang LI Xin CHEN +1 位作者 Ya-juan LI Rong ZHANG 《Defence Technology(防务技术)》 SCIE EI CAS CSCD 2017年第6期397-405,共9页
In this paper, A fluid vector rudder flying-wing UAV is employed as the design object, so as to study the nonlinear design method and flight validation. For the maneuvering flight control, this paper presents a contro... In this paper, A fluid vector rudder flying-wing UAV is employed as the design object, so as to study the nonlinear design method and flight validation. For the maneuvering flight control, this paper presents a control structure. This control structure included the inner loop linearization decoupling methods to eliminate the known negative coupling and the outer loop backstepping methods for trajectory tracking control. The stability of the control structure has been proved in this paper. Compared with the traditional backstepping control method, this controller increases the inner loop decoupling structure and retains the aerodynamic damping term which makes the linearized system a weak nonlinear system.This structure can not only reduce the conservatism of the outer loop controller design, but also is convenient for engineering implementation. Simulation and flight validation results show that the proposed control scheme is effective. 展开更多
关键词 UAV PAPER FLIGHT validation
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Sufficient and Necessary Condition of Admissibility for Fractional-order Singular System 被引量:15
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作者 YU Yao JIAO Zhuang SUN Chang-Yin 《自动化学报》 EI CSCD 北大核心 2013年第12期2160-2164,共5页
这份报纸与顺序为部分顺序的单个系统集中于考虑条件吗?(0, 1 ) 。整齐的定义,没有推动并且考虑被给第一,然后,为部分顺序的单个系统的考虑的一个足够、必要的条件被建立。一个数字例子被包括说明建议条件。
关键词 奇异系统 分数阶 充要条件 可容许 充分必要条件
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ADRC based control for a class of input time delay systems 被引量:7
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作者 Dongyang Zhang Xiaolan Yao +1 位作者 Qinghe Wu Zhuoyue Song 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2017年第6期1210-1220,共11页
This paper is concerned with the control design and the theoretical analysis for a class of input time-delay systems with stable, critical stable or unstable poles. In order to overcome the time delay, a novel feed-fo... This paper is concerned with the control design and the theoretical analysis for a class of input time-delay systems with stable, critical stable or unstable poles. In order to overcome the time delay, a novel feed-forward compensation active disturbance rejection control(FFC-ADRC) approach is proposed. It combines advantages of the Smith predictor and the traditional active disturbance rejection control(ADRC). The tracking differentiator(TD) is designed to predict the control signal, which adds an anticipatory control to the control signal and allows a higher observer bandwidth to obtain better disturbance rejection. The modified extended state observer(ESO) is designed to estimate both system states and the total disturbances(internal disturbance, uncertainties and delayed disturbance). Then the Lyapunov theory and the theory of the input-output stability are applied to prove the asymptotic stability of the closed-loop control system. Finally, numerical simulations show the effectiveness and practicality of the proposed design. 展开更多
关键词 time-delay system feed-forward compensation active disturbance rejection control(FFC-ADRC) tracking differentiator(TD) Lyapunov theory bound-input-bound-output(BIBO) stability
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Application of Unscented Transformation for Nonlinear State Smoothing 被引量:6
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作者 WANG Xiao-Xu PAN Quan +1 位作者 LIANG Yan ZHAO Chun-Hui 《自动化学报》 EI CSCD 北大核心 2012年第7期1107-1112,共6页
关键词 非线性状态 最优平滑 UT变换 应用 最小均方误差 KALMAN 离散系统 状态估计
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Improved quantum bacterial foraging algorithm for tuning parameters of fractional-order PID controller 被引量:9
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作者 LIU Lu SHAN Liang +2 位作者 DAI Yuewei LIU Chenglin QI Zhidong 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2018年第1期166-175,共10页
The quantum bacterial foraging optimization(QBFO)algorithm has the characteristics of strong robustness and global searching ability. In the classical QBFO algorithm, the rotation angle updated by the rotation gate is... The quantum bacterial foraging optimization(QBFO)algorithm has the characteristics of strong robustness and global searching ability. In the classical QBFO algorithm, the rotation angle updated by the rotation gate is discrete and constant,which cannot affect the situation of the solution space and limit the diversity of bacterial population. In this paper, an improved QBFO(IQBFO) algorithm is proposed, which can adaptively make the quantum rotation angle continuously updated and enhance the global search ability. In the initialization process, the modified probability of the optimal rotation angle is introduced to avoid the existence of invariant solutions. The modified operator of probability amplitude is adopted to further increase the population diversity.The tests based on benchmark functions verify the effectiveness of the proposed algorithm. Moreover, compared with the integerorder PID controller, the fractional-order proportion integration differentiation(PID) controller increases the complexity of the system with better flexibility and robustness. Thus the fractional-order PID controller is applied to the servo system. The tuning results of PID parameters of the fractional-order servo system show that the proposed algorithm has a good performance in tuning the PID parameters of the fractional-order servo system. 展开更多
关键词 bacterial foraging algorithm FRACTIONAL-ORDER quantum rotation gate proportion integration differentiation(PID) servo system
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Hybrid optimization of dynamic deployment for networked fire control system 被引量:7
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作者 Chen Chen Jie Chen Bin Xin 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2013年第6期954-961,共8页
With applying the information technology to the military field, the advantages and importance of the networked combat are more and more obvious. In order to make full use of limited battlefield resources and maximally... With applying the information technology to the military field, the advantages and importance of the networked combat are more and more obvious. In order to make full use of limited battlefield resources and maximally destroy enemy targets from arbitrary angle in a limited time, the research on firepower nodes dynamic deployment becomes a key problem of command and control. Considering a variety of tactical indexes and actual constraints in air defense, a mathematical model is formulated to minimize the enemy target penetration probability. Based on characteristics of the mathematical model and demands of the deployment problems, an assistance-based algorithm is put forward which combines the artificial potential field (APF) method with a memetic algorithm. The APF method is employed to solve the constraint handling problem and generate feasible solutions. The constrained optimization problem transforms into an optimization problem of APF parameters adjustment, and the dimension of the problem is reduced greatly. The dynamic deployment is accomplished by generation and refinement of feasible solutions. The simulation results show that the proposed algorithm is effective and feasible in dynamic situation. 展开更多
关键词 deployment optimization artificial potential field (APF) constraint handling generation of feasible solutions memetic algorithm
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Three-dimensional multi-constraint route planning of unmanned aerial vehicle low-altitude penetration based on coevolutionary multi-agent genetic algorithm 被引量:8
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作者 彭志红 吴金平 陈杰 《Journal of Central South University》 SCIE EI CAS 2011年第5期1502-1508,共7页
To address the issue of premature convergence and slow convergence rate in three-dimensional (3D) route planning of unmanned aerial vehicle (UAV) low-altitude penetration,a novel route planning method was proposed.Fir... To address the issue of premature convergence and slow convergence rate in three-dimensional (3D) route planning of unmanned aerial vehicle (UAV) low-altitude penetration,a novel route planning method was proposed.First and foremost,a coevolutionary multi-agent genetic algorithm (CE-MAGA) was formed by introducing coevolutionary mechanism to multi-agent genetic algorithm (MAGA),an efficient global optimization algorithm.A dynamic route representation form was also adopted to improve the flight route accuracy.Moreover,an efficient constraint handling method was used to simplify the treatment of multi-constraint and reduce the time-cost of planning computation.Simulation and corresponding analysis show that the planning results of CE-MAGA have better performance on terrain following,terrain avoidance,threat avoidance (TF/TA2) and lower route costs than other existing algorithms.In addition,feasible flight routes can be acquired within 2 s,and the convergence rate of the whole evolutionary process is very fast. 展开更多
关键词 unmanned aerial vehicle (UAV) low-altitude penetration three-dimensional (3D) route planning coevolutionary multiagent genetic algorithm (CE-MAGA)
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Improved Oustaloup approximation of fractional-order operators using adaptive chaotic particle swarm optimization 被引量:7
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作者 Zhe Gao Xiaozhong Liao 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2012年第1期145-153,共9页
A rational approximation method of the fractional-order derivative and integral operators is proposed. The turning fre- quency points are fixed in each frequency interval in the standard Oustaloup approximation. In th... A rational approximation method of the fractional-order derivative and integral operators is proposed. The turning fre- quency points are fixed in each frequency interval in the standard Oustaloup approximation. In the improved Oustaloup method, the turning frequency points are determined by the adaptive chaotic particle swarm optimization (PSO). The average velocity is proposed to reduce the iterations of the PSO. The chaotic search scheme is combined to reduce the opportunity of the premature phenomenon. Two fitness functions are given to minimize the zero-pole and amplitude-phase frequency errors for the underlying optimization problems. Some numerical examples are compared to demonstrate the effectiveness and accuracy of this proposed rational approximation method. 展开更多
关键词 fractional-order calculus rational approximation particle swarm optimization (PSO) tent map.
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