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Nonlinear Dynamics and Stability of Neural Networks with Delay-Time 被引量:14
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作者 L. C. Jiao, member, IEEE, and Zheng Bao, Senior member, IEEECenter for Neural Networks and Institute of Elec. Eng, Xidian University, Xian 710071, China 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 1992年第2期13-26,共14页
In this paper we study the dynamic properties and stabilities of neural networks with delay-time (which includes the time-varying case) by differential inequalities and Lyapunov function approaches. The criteria of co... In this paper we study the dynamic properties and stabilities of neural networks with delay-time (which includes the time-varying case) by differential inequalities and Lyapunov function approaches. The criteria of connective stability, robust stability, Lyapunov stability, asymptotic atability, exponential stability and Lagrange stability of neural networks with delay-time are established, and the results obtained are very useful for the design, implementation and application of adaptive learning neural networks. 展开更多
关键词 nonlinear dynamics STABILITY Neural network.
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Nonlinear dynamics and coupling effect of libration and vibration of tethered space robot in deorbiting process
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作者 王班 郭吉丰 +1 位作者 冯吉根 王剑 《Journal of Central South University》 SCIE EI CAS CSCD 2016年第5期1095-1105,共11页
In order to control the growth of space debris,a novel tethered space robot(TSR) was put forward.After capture,the platform,tether,and target constituted a tethered combination system.General nonlinear dynamics of the... In order to control the growth of space debris,a novel tethered space robot(TSR) was put forward.After capture,the platform,tether,and target constituted a tethered combination system.General nonlinear dynamics of the tethered combination system in the post-capture phase was established with the consideration of the attitudes of two spacecrafts and the quadratic nonlinear elasticity of the tether.The motion law of the tethered combination in the deorbiting process with different disturbances was simulated and discussed on the premise that the platform was only controlled by a constant thrust force.It is known that the four motion freedoms of the tethered combination are coupled with each other in the deorbiting process from the simulation results.A noticeable phenomenon is that the tether longitudinal vibration does not decay to vanish even under the large tether damping with initial attitude disturbances due to the coupling effect.The approximate analytical solutions of the dynamics for a simplified model are obtained through the perturbation method.The condition of the inter resonance phenomenon is the frequency ratio λ_1=2.The case study shows good accordance between the analytical solutions and numerical results,indicating the effectiveness and correctness of approximate analytical solutions. 展开更多
关键词 tethered space robot general nonlinear dynamics deorbiting process perturbation method inter resonance phenomenon
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Boundedness of Formation Configuration for Nonlinear Three-body Dynamics
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作者 LI Peng SONG Yongduan 《空间科学学报》 CAS CSCD 北大核心 2011年第2期214-222,共9页
The configuration boundedness of the three-body model dynamics is studied for Sun-Earth formation flying missions.The three-body formation flying model is built up with considering the lunar gravitational acceleration... The configuration boundedness of the three-body model dynamics is studied for Sun-Earth formation flying missions.The three-body formation flying model is built up with considering the lunar gravitational acceleration and solar radiation pressure.Because traditional linearized dynamics based method has relatively lower accuracy,a modified nonlinear formation configuration analysis method is proposed in this paper.Comparative studies are carried out from three aspects,i.e.,natural formation configuration with arbitrary departure time,initialization time and formation configuration boundedness,and specific initialization time for bounded formation configuration.Simulations demonstrate the differences between the two schemes, and indicate that the nonlinear dynamic method reduces the error caused by the model linearization and disturbance approximation,and thus provides higher accuracy for boundedness analysis,which is of value to initial parameters selection for natural three-body formation flying. 展开更多
关键词 Formation flying Three-body Model nonlinear dynamics Configuration boundedness
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Hysteresis modeling and compensation of piezo actuator with sparse regression
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作者 JIN Yu WANG Xucheng +3 位作者 XU Yunlang YU Jianbo LU Qiaodan YANG Xiaofeng 《Journal of Systems Engineering and Electronics》 2025年第1期48-61,共14页
Piezo actuators are widely used in ultra-precision fields because of their high response and nano-scale step length.However,their hysteresis characteristics seriously affect the accuracy and stability of piezo actuato... Piezo actuators are widely used in ultra-precision fields because of their high response and nano-scale step length.However,their hysteresis characteristics seriously affect the accuracy and stability of piezo actuators.Existing methods for fitting hysteresis loops include operator class,differential equation class,and machine learning class.The modeling cost of operator class and differential equation class methods is high,the model complexity is high,and the process of machine learning,such as neural network calculation,is opaque.The physical model framework cannot be directly extracted.Therefore,the sparse identification of nonlinear dynamics(SINDy)algorithm is proposed to fit hysteresis loops.Furthermore,the SINDy algorithm is improved.While the SINDy algorithm builds an orthogonal candidate database for modeling,the sparse regression model is simplified,and the Relay operator is introduced for piecewise fitting to solve the distortion problem of the SINDy algorithm fitting singularities.The Relay-SINDy algorithm proposed in this paper is applied to fitting hysteresis loops.Good performance is obtained with the experimental results of open and closed loops.Compared with the existing methods,the modeling cost and model complexity are reduced,and the modeling accuracy of the hysteresis loop is improved. 展开更多
关键词 sparse identification of nonlinear dynamics(SINDy) hysteresis loop relay operator sparse regression piezo actuator
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Particle filter for nonlinear systems with multi-sensor asynchronous random delays 被引量:4
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作者 Junyi Zuo Xiaoping Zhong 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2017年第6期1064-1071,共8页
This paper is concerned with the recursive filtering problem for a class of discrete-time nonlinear stochastic systems in the presence of multi-sensor measurement delay. The delay occurs in a multi-step and asynchrono... This paper is concerned with the recursive filtering problem for a class of discrete-time nonlinear stochastic systems in the presence of multi-sensor measurement delay. The delay occurs in a multi-step and asynchronous manner, and the delay probability of each sensor is assumed to be known or unknown. Firstly, a new model is constructed to describe the measurement process, based on which a new particle filter is developed with the ability to fuse multi-sensor information in the case of known delay probability.In addition, an online delay probability estimation module is introduced in the particle filtering framework, which leads to another new filter that can be implemented without the prior knowledge of delay probability. More importantly, since there is no complex iterative operation, the resulting filter can be implemented recursively and is suitable for many real-time applications. Simulation results show the effectiveness of the proposed filters. 展开更多
关键词 particle filter nonlinear dynamic system state estima tion measurement delay multiple sensors
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Survey on nonlinear reconfigurable flight control 被引量:3
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作者 Xunhong Lv Bin Jiang +1 位作者 Ruiyun Qi Jing Zhao 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2013年第6期971-983,共13页
An overview on nonlinear reconfigurable flight control approaches that have been demonstrated in flight-test or highfidelity simulation is presented. Various approaches for reconfigurable flight control systems are co... An overview on nonlinear reconfigurable flight control approaches that have been demonstrated in flight-test or highfidelity simulation is presented. Various approaches for reconfigurable flight control systems are considered, including nonlinear dynamic inversion, parameter identification and neural network technologies, backstepping and model predictive control approaches. The recent research work, flight tests, and potential strength and weakness of each approach are discussed objectively in order to give readers and researchers some reference. Finally, possible future directions and open problems in this area are addressed. 展开更多
关键词 reconfigurable flight control (RFC) nonlinear dynamic inversion (NDI) BACKSTEPPING neural network (NN) model predictive control (MPC) parameter identification (PID) adaptive control flight control.
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A Fuzzy-Neural Network Control of Nonlinear Dynamic Systems 被引量:2
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作者 Li Shaoyuan & Xi Yugeng (Shanghai Jiaotong University, 200030, P. R. China) 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2000年第1期61-66,共6页
In this paper, an adaptive dynamic control scheme based on a fuzzy neural network is presented, that presents utilizes both feed-forward and feedback controller elements. The former of the two elements comprises a neu... In this paper, an adaptive dynamic control scheme based on a fuzzy neural network is presented, that presents utilizes both feed-forward and feedback controller elements. The former of the two elements comprises a neural network with both identification and control role, and the latter is a fuzzy neural algorithm, which is introduced to provide additional control enhancement. The feedforward controller provides only coarse control, whereas the feedback controller can generate on-line conditional proposition rule automatically to improve the overall control action. These properties make the design very versatile and applicable to a range of industrial applications. 展开更多
关键词 Fuzzy logic Neural networks Adaptive control nonlinear dynamic system.
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A comparative study of four nonlinear dynamic methods and their applications in classification of ship-radiated noise 被引量:1
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作者 Yu-xing Li Shang-bin Jiao +2 位作者 Bo Geng Qing Zhang You-min Zhang 《Defence Technology(防务技术)》 SCIE EI CAS CSCD 2022年第2期183-193,共11页
Refined composite multi-scale dispersion entropy(RCMDE),as a new and effective nonlinear dynamic method,has been applied in the field of medical diagnosis and fault diagnosis.In this paper,we first introduce RCMDE int... Refined composite multi-scale dispersion entropy(RCMDE),as a new and effective nonlinear dynamic method,has been applied in the field of medical diagnosis and fault diagnosis.In this paper,we first introduce RCMDE into the field of underwater acoustic signal processing for complexity feature extraction of ship radiated noise,and then propose a novel classification method for ship-radiated noise based on RCMDE and k-nearest neighbor(KNN),termed RCMDE-KNN.The results of a comparative experiment show that the proposed RCMDE-KNN classification method can effectively extract the complexity features of ship-radiated noise,and has better classification performance under one and two scales than the other three classification methods based on multi-scale permutation entropy(MPE)and KNN,multi-scale weighted-permutation entropy(MW-PE)and KNN,and multi-scale dispersion entropy(MDE)and KNN,termed MPE-KNN,MW-PE-KNN,and MDE-KNN.It is proved that the RCMDE-KNN classification method for ship-radiated noise is feasible and effective,and can obtain a very high recognition rate. 展开更多
关键词 nonlinear dynamic Refined composite multi-scale dispersion entropy(RCMDE) Multi-scale dispersion entropy(MDE) Multi-scale weighted-permutation entropy (MW-PE) Multi-scale permutation entropy(MPE) Classification of ship-radiated noise
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Civil aircraft fault tolerant attitude tracking based on extended state observers and nonlinear dynamic inversion 被引量:1
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作者 MA Xinjian LIU Shiqian CHENG Huihui 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2022年第1期180-187,共8页
For the problem of sensor faults and actuator faults in aircraft attitude control,this paper proposes a fault tolerant control(FTC)scheme based on extended state observer(ESO)and nonlinear dynamic inversion(NDI).First... For the problem of sensor faults and actuator faults in aircraft attitude control,this paper proposes a fault tolerant control(FTC)scheme based on extended state observer(ESO)and nonlinear dynamic inversion(NDI).First,two ESOs are designed to estimate sensor faults and actuator faults respectively.Second,the angular rate signal is reconstructed according to the estimation of sensor faults.Third,in angular rate loop,NDI is designed based on reconstruction of angular rate signals and estimation of actuator faults.The FTC scheme proposed in this paper is testified through numerical simulations.The results show that it is feasible and has good fault tolerant ability. 展开更多
关键词 fault tolerant control(FTC) signal reconstruction extended state observer(ESO) nonlinear dynamic inversion(NDI)
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Robust Feedback Controller for Exponential Stability of Nonlinear Systems with Mismatched Uncertainties
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作者 Yu Kai, Zhao Chang’an & Li ShiyongDepartment of Control Science and Technology, Harbin Institute of Technology, Harbin 150001, P. R. China(Received June 28, 2001) 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2002年第2期92-97,共6页
The robust stabilization of nonlinear systems with mismatched uncertainties is investigated. Based on the stability of the nominal system, a new approach to synthesizing a class of continuous state feedback controller... The robust stabilization of nonlinear systems with mismatched uncertainties is investigated. Based on the stability of the nominal system, a new approach to synthesizing a class of continuous state feedback controllers for uncertain nonlinear dynamical systems is proposed. By such feedback controllers, the exponential stability of uncertain nonlinear dynamical systems can be guaranteed. The approach can give a clear insight to system analysis. An illustrative example is given to demonstrate the utilization of the approach developed. Simulation results show that the method presented is practical and effective. 展开更多
关键词 Exponential stability nonlinear dynamical systems UNCERTAINTY State feedback controller.
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New robust fault-tolerant controller for self-repairing flight control systems 被引量:2
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作者 Zhang Ren Wei Wang Zhen Shen 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2011年第1期77-82,共6页
A new robust fault-tolerant controller scheme integrating a main controller and a compensator for the self-repairing flight control system is discussed.The main controller is designed for high performance of the origi... A new robust fault-tolerant controller scheme integrating a main controller and a compensator for the self-repairing flight control system is discussed.The main controller is designed for high performance of the original faultless system.The compensating controller can be seen as a standalone loop added to the system to compensate the effects of fault guaranteeing the stability of the system.A design method is proposed using nonlinear dynamic inverse control as the main controller and nonlinear extended state observer-based compensator.The stability of the whole closed-loop system is analyzed.Feasibility and validity of the new controller is demonstrated with an aircraft simulation example. 展开更多
关键词 robust control self-repairing flight control nonlinear dynamic control extended state observer compensator.
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Robust missile autopilot design based on dynamic surface control 被引量:3
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作者 ZHOU Jianping LI Wei +1 位作者 XIA Qunli JIANG Huan 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2023年第1期160-171,共12页
Since the dynamical system and control system of the missile are typically nonlinear, an effective acceleration tracking autopilot is designed using the dynamic surface control(DSC)technique in order to make the missi... Since the dynamical system and control system of the missile are typically nonlinear, an effective acceleration tracking autopilot is designed using the dynamic surface control(DSC)technique in order to make the missile control system more robust despite the uncertainty of the dynamical parameters and the presence of disturbances. Firstly, the nonlinear mathematical model of the tail-controlled missile is decomposed into slow acceleration dynamics and fast pitch rate dynamics based on the naturally existing time scale separation. Secondly, the controller based on DSC is designed after obtaining the linear dynamics characteristics of the slow and fast subsystems. An extended state observer is used to detect the uncertainty of the system state variables and aerodynamic parameters to achieve the compensation of the control law. The closed-loop stability of the controller is derived and rigorously analyzed. Finally, the effectiveness and robustness of the design is verified by Monte Carlo simulation considering different initial conditions and parameter uptake. Simulation results illustrate that the missile autopilot based DSC controller achieves better performance and robustness than the other two well-known autopilots.The method proposed in this paper is applied to the design of a missile autopilot, and the results show that the acceleration tracking autopilot based on the DSC controller can ensure accurate tracking of the required commands and has better performance. 展开更多
关键词 acceleration autopilot nonlinear missile dynamics time-scale separation extended state observer dynamic surface control(DSC)
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Stability of motion state and bifurcation properties of planetary gear train 被引量:2
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作者 李同杰 朱如鹏 +1 位作者 鲍和云 项昌乐 《Journal of Central South University》 SCIE EI CAS 2012年第6期1543-1547,共5页
A nonlinear lateral-torsional coupled vibration model of a planetary gear system was established by taking transmission errors,time varying meshing stiffness and multiple gear backlashes into account.The bifurcation d... A nonlinear lateral-torsional coupled vibration model of a planetary gear system was established by taking transmission errors,time varying meshing stiffness and multiple gear backlashes into account.The bifurcation diagram of the system's motion state with rotational speed of sun gear was conducted through four steps.As a bifurcation parameter,the effect of rotational speed on the bifurcation properties of the system was assessed.The study results reveal that periodic motion is the main motion state of planetary gear train in low speed region when ns<2 350 r/min,but chaos motion state is dominant in high speed region when ns>2 350 r/min,The way of periodic motion to chaos is doubling bifurcation.There are two kinds of unstable modes and nine unstable regions in the speed region when 1 000 r/min<ns<3 000 r/min. 展开更多
关键词 planetary gear train nonlinear dynamical model stability of motion state bifurcation properties
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Dynamic analysis of subway station subjected to internal blast loading 被引量:1
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作者 何伟 陈健云 郭靖 《Journal of Central South University》 SCIE EI CAS 2011年第3期917-924,共8页
The study was motivated by the fact that explosion inside the subway structure may not only cause direct life loss,but also damage the subway structure and lead to further loss of lives and properties.The propagation ... The study was motivated by the fact that explosion inside the subway structure may not only cause direct life loss,but also damage the subway structure and lead to further loss of lives and properties.The propagation law of explosion wave in the subway station was analyzed and a simplified model of overpressure in the subway station was also proposed.Whereafter,the improved dynamic cam-clay model of soil and the concrete damaged plasticity constitutive model were used for the dynamic analysis of the subway station.Meanwhile,the influences of soil stiffness and burial depth on the dynamic response of the subway station were looked into.The results show that the multi-peak overpressure in the subway station does not appear,and large stresses concentrate on the central column and the floor slab of the subway station,so some special reinforcement measures should be taken in these parts.The effect of soil stiffness and burial depth on the stress of the central column is little;however,the effect on the stress of the station side wall is relatively obvious. 展开更多
关键词 subway station intemal explosion nonlinear dynamic analysis influence factor
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Influence of construction interfaces on dynamic characteristics of roller compacted concrete dams 被引量:3
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作者 GU Chong-shi WANG Shao-wei BAO Teng-fei 《Journal of Central South University》 SCIE EI CAS CSCD 2015年第4期1521-1535,共15页
To study the influence of construction interfaces on dynamic characteristics of roller compacted concrete dams(RCCDs),mechanical properties of construction interfaces are firstly analyzed. Then, the viscous-spring art... To study the influence of construction interfaces on dynamic characteristics of roller compacted concrete dams(RCCDs),mechanical properties of construction interfaces are firstly analyzed. Then, the viscous-spring artificial boundary(VSAB) is adopted to simulate the radiation damping of their infinite foundations, and based on the Marc software, a simplified seismic motion input method is presented by the equivalent nodal loads. Finally, based on the practical engineering of a RCC gravity dam, effects of radiation damping and construction interfaces on the dynamic characteristics of dams are investigated in detail. Analysis results show that dynamic response of the RCC gravity dam significantly reduces about 25% when the radiation damping of infinite foundation is considered. Hot interfaces and the normal cold interfaces have little influence on the dynamic response of the RCC gravity dam.However, nonlinear fracture along the cold interfaces at the dam heel will occur under the designed earthquake if the cold interfaces are combined poorly. Therefore, to avoid the fractures along the construction interfaces under the potential super earthquakes,combination quality of the RCC layers should be significantly ensured. 展开更多
关键词 roller compacted concrete dam construction interface nonlinear fracture radiation damping viscous-spring artificial boundary dynamic response
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