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Distributed power control algorithm based on game theory for wireless sensor networks 被引量:5
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作者 Na Chengliang Lu Dongxin +1 位作者 Zhou Tingxian Li Lihong 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2007年第3期622-627,共6页
Energy saving is the most important issue in research and development for wireless sensor networks. A power control mechanism can reduce the power consumption of the whole network. Because the character of wireless se... Energy saving is the most important issue in research and development for wireless sensor networks. A power control mechanism can reduce the power consumption of the whole network. Because the character of wireless sensor networks is restrictive energy, this paper proposes a distributed power control algorithm based on game theory for wireless sensor networks which objects of which are reducing power consumption and decreasing overhead and increasing network lifetime. The game theory and OPNET simulation shows that the power control algorithm converges to a Nash Equilibrium when decisions are updated according to a better response dynamic. 展开更多
关键词 wireless sensor networks power control game theory CONVERGENCE
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Modeling and motion control simulation of tendon based parallel manipulator translation mechanism for sensor based high value waste processing
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作者 黄赳 T. Pretz 卞正富 《Journal of Central South University》 SCIE EI CAS 2011年第6期1953-1961,共9页
A novel sorting system based on one degree of freedom (DOF) tendon based parallel manipulator (TBPM) for high value waste processing was presented and designed. In order to control the motion of loads, nonlinear state... A novel sorting system based on one degree of freedom (DOF) tendon based parallel manipulator (TBPM) for high value waste processing was presented and designed. In order to control the motion of loads, nonlinear state feed forward control algorithm in the tendon length coordinate was used. Considering the system redundancy and actuation behavior, algorithms of optimal tension distribution and forward kinematics were designed. Then, the simulation experiments of motion control were implemented. The results demonstrate that the proposed TBPM translation system performs robust capacities. It can transfer the loads 1 m away within 1.5 s. With further optimization, the translation duration can be further reduced to be about 1 s and the optimized translation is followed with 43.59 m/s2 maximum acceleration. The translation errors at the aim position remain below 0.4 mm. 展开更多
关键词 municipal solid waste incineration tendon based parallel manipulator sensor based sorting motion control
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Guaranteed Consensus Control of Mobile Sensor Networks With Partially Unknown Switching Probabilities
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作者 Yuan Zhao Ge Guo +2 位作者 Lei Ding Jian Gong Zibao Lu 《自动化学报》 EI CSCD 北大核心 2017年第7期1265-1272,共8页
关键词 移动传感器网络 一致性控制 切换概率 MARKOV跳跃系统 开关控制器 系统稳定性分析 拓扑结构 协商
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Performance evaluation of sensor allocation algorithm based on covariance control
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作者 周文辉 李琳 +1 位作者 胡卫东 郁文贤 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2005年第3期538-544,共7页
The covariance control capability of sensor allocation algorithms based on covariance control strategy is an important index to evaluate the performance of these algorithms. Owing to lack of standard performance metri... The covariance control capability of sensor allocation algorithms based on covariance control strategy is an important index to evaluate the performance of these algorithms. Owing to lack of standard performance metric indices to evaluate covariance control capability, sensor allocation ratio, etc, there are no guides to follow in the design procedure of sensor allocation algorithm in practical applications. To meet these demands, three quantified performance metric indices are presented, which are average covariance misadjustment quantity (ACMQ), average sensor allocation ratio (ASAR) and matrix metric influence factor (MMIF), where ACMQ, ASAR and MMIF quantify the covariance control capabili- ty, the usage of sensor resources and the robustness of sensor allocation algorithm, respectively. Meanwhile, a covariance adaptive sensor allocation algorithm based on a new objective function is proposed to improve the covariance control capability of the algorithm based on information gain. The experiment results show that the proposed algorithm have the advantage over the preceding sensor allocation algorithm in covariance control capability and robustness. 展开更多
关键词 sensor management sensor allocation covariance control multisensor data fusion.
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Review on uncertainty analysis and information fusion diagnosis of aircraft control system
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作者 ZHOU Keyi LU Ningyun +1 位作者 JIANG Bin MENG Xianfeng 《Journal of Systems Engineering and Electronics》 SCIE CSCD 2024年第5期1245-1263,共19页
In the aircraft control system,sensor networks are used to sample the attitude and environmental data.As a result of the external and internal factors(e.g.,environmental and task complexity,inaccurate sensing and comp... In the aircraft control system,sensor networks are used to sample the attitude and environmental data.As a result of the external and internal factors(e.g.,environmental and task complexity,inaccurate sensing and complex structure),the aircraft control system contains several uncertainties,such as imprecision,incompleteness,redundancy and randomness.The information fusion technology is usually used to solve the uncertainty issue,thus improving the sampled data reliability,which can further effectively increase the performance of the fault diagnosis decision-making in the aircraft control system.In this work,we first analyze the uncertainties in the aircraft control system,and also compare different uncertainty quantitative methods.Since the information fusion can eliminate the effects of the uncertainties,it is widely used in the fault diagnosis.Thus,this paper summarizes the recent work in this aera.Furthermore,we analyze the application of information fusion methods in the fault diagnosis of the aircraft control system.Finally,this work identifies existing problems in the use of information fusion for diagnosis and outlines future trends. 展开更多
关键词 aircraft control system sensor networks information fusion fault diagnosis UNCERTAINTY
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Sensor management of LEO constellation based on covariance control 被引量:4
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作者 QIN Zheng LIANG Yan'gang 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2019年第2期393-401,共9页
This paper studies the multi-sensor management problem for low earth orbit(LEO) infrared warning constellation used to track a midcourse missile. A covariance control approach, which selects sensor combinations or sub... This paper studies the multi-sensor management problem for low earth orbit(LEO) infrared warning constellation used to track a midcourse missile. A covariance control approach, which selects sensor combinations or subset based on the difference between the desired covariance matrix and the actual covariance of each target, is used for sensor management, including some matrix metrics to measure the differentia between two covariance matrices. Besides, to meet the requirements of the space based warning system, the original covariance control approach is improved. Simulation results demonstrate that the covariance control approach is able to provide a better tracking performance by providing a well-designed desired covariance and balance tracking performance goals with system demands. 展开更多
关键词 sensor management COVARIANCE control TARGET TRACKING ACCURACY LEO CONSTELLATION
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Local adaptive transmit power assignment strategy for wireless sensor networks 被引量:1
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作者 赵学健 庄毅 王进 《Journal of Central South University》 SCIE EI CAS 2012年第7期1909-1920,共12页
A distributed local adaptive transmit power assignment (LA-TPA) strategy was proposed to construct a topology with better performance according to the environment and application scenario and prolong the network lifet... A distributed local adaptive transmit power assignment (LA-TPA) strategy was proposed to construct a topology with better performance according to the environment and application scenario and prolong the network lifetime.It takes the path loss exponent and the energy control coefficient into consideration with the aim to accentuate the minimum covering district of each node more accurately and precisely according to various network application scenarios.Besides,a self-healing scheme that enhances the robustness of the network was provided.It makes the topology tolerate more dead nodes than existing algorithms.Simulation was done under OMNeT++ platform and the results show that the LA-TPA strategy is more effective in constructing a well-performance network topology based on various application scenarios and can prolong the network lifetime significantly. 展开更多
关键词 wireless sensor network topology control transmit power assignment range assignment path loss exponent energycontrol coefficient ROBUSTNESS network lifetime
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REA-MAC:A low latency routing-enhanced asynchronous duty-cycle MAC protocol for wireless sensor networks
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作者 唐宏伟 曹建农 +1 位作者 孙彩霞 卢凯 《Journal of Central South University》 SCIE EI CAS 2013年第3期678-687,共10页
Many energy efficiency asynchronous duty-cycle MAC(media access control) protocols have been proposed in recent years.However,in these protocols,wireless sensor nodes almost choose their wakeup time randomly during th... Many energy efficiency asynchronous duty-cycle MAC(media access control) protocols have been proposed in recent years.However,in these protocols,wireless sensor nodes almost choose their wakeup time randomly during the operational cycle,which results in the packet delivery latency increased significantly on the multiple hops path.To reduce the packet delivery latency on multi-hop path and energy waste of the sender's idle listening,a new low latency routing-enhanced asynchronous duty-cycle MAC protocol was presented,called REA-MAC.In REA-MAC,each sensor node decided when it waked up to send the beacon based on cross-layer routing information.Furthermore,the sender adaptively waked up based on the relationship between the transmission request time and the wakeup time of its next hop node.The simulation results show that REA-MAC reduces delivery latency by 60% compared to RI-MAC and reduces 8.77% power consumption on average.Under heavy traffic,REA-MAC's throughput is 1.48 times of RI-MAC's. 展开更多
关键词 wireless sensor networks ASYNCHRONOUS duty-cycle media access control protocol idle listening low latency
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LMI approach to reliable H_∞ control of linear systems 被引量:6
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作者 Yao Bo Wang Fuzhong 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2006年第2期381-386,共6页
The reliable design problem for linear systems is concerned with. A more practical model of actuator faults than outage is considered. An LMI approach of designing reliable controller is presented for the case of actu... The reliable design problem for linear systems is concerned with. A more practical model of actuator faults than outage is considered. An LMI approach of designing reliable controller is presented for the case of actuator faults that can be modeled by a scaling factor. The resulting control systems are reliable in that they provide guaranteed asymptotic stability and H∞ performance when some control component (actuator) faults occur. A numerical example is also given to illustrate the design procedure and their effectiveness. Furthermore, the optimal standard controller and the optimal reliable controller are compared to show the necessity of reliable control. 展开更多
关键词 reliable control sensor fault actuator fault LMI.
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Study on Transformer Magnetic Biasing Control Method for AC Power Supplies 被引量:5
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作者 卢家林 孙晋 苏彦民 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2001年第4期17-22,共6页
This paper presents a novel transformer magnetic biasing control method for high-power high-performance AC power supplies. Serious consequences due to magnetic biasing and several methods to overcome magnetic biasing ... This paper presents a novel transformer magnetic biasing control method for high-power high-performance AC power supplies. Serious consequences due to magnetic biasing and several methods to overcome magnetic biasing are first discussed. The causes of the transformer magnetic biasing are then analyzed in detail. The proposed method is based on a high-pass filter inserted in the forward path and the feedforward control. Without testing magnetic biasing of transformer, this method can eliminate magnetic biasing of transformer completely in real-time waveform feedback control systems though the zero error of the Hall effect sensors varies with time and temperature. The method has already been employed in a 90KVA AC power supply. It is shown that it offers improved performance over existing ones. In this method, no sensors are used such that the zero error of the Hall effect sensors has not any influence on the system. It is simple to design and implement. Furthermore, the method is suitable for various power applications. 展开更多
关键词 AC machinery Electric power supplies to apparatus Feedback control Hall effect High pass filters Real time systems sensorS
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Optimization of actuator/sensor position of multi-body system with quick startup and brake 被引量:3
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作者 唐华平 唐春喜 殷陈锋 《Journal of Central South University of Technology》 EI 2007年第6期803-807,共5页
A new method was put forward to optimize the position of actuator/sensor of multi-body system with quick startup and brake. Dynamical equation was established for the system with intelligent structure of piezoelectric... A new method was put forward to optimize the position of actuator/sensor of multi-body system with quick startup and brake. Dynamical equation was established for the system with intelligent structure of piezoelectric actuators. According to the property of the modes varying with time, the performance index function was developed based on the optimal configuration principle of energy maximal dissipation, and the relevant optimal model was obtained. According to its characteristic, a float-encoding genetic algorithm, which is efficient, simple and excellent for solving the global-optimal solution of this problem, was adopted. Taking the plane manipulator as an example, the result of numerical calculation shows that, after the actuator/sensor position being optimized, the vibration amplitude of the multi-body system is reduced by 35% compared with that without optimization. 展开更多
关键词 actuator/sensor multi-body system active control OPTIMIZATION genetic algorithm
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Monitoring a Wide Manufacture Field Automatically by Multiple Sensors
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作者 LU Jian HAMAJIMA Kyoko JIANG Wei 《自动化学报》 EI CSCD 北大核心 2006年第6期956-967,共12页
This research is dedicated to develop a safety measurement for human-machine cooperative system, in which the machine region and the human region cannot be separated due to the overlap and the movement both from human... This research is dedicated to develop a safety measurement for human-machine cooperative system, in which the machine region and the human region cannot be separated due to the overlap and the movement both from human and from machines. Our proposal here is to automatically monitor the moving objects by image sensing/recognition method, such that the machine system can get enough information about the environment situation and about the production progress at any time, and therefore the machines can accordingly take some corresponding actions automatically to avoid hazard. For this purpose, two types of monitor systems are proposed. The first type is based on the omni directional vision sensor, and the second is based on the stereo vision sensor. Each type may be used alone or together with another type, depending on the safety system's requirements and the specific situation of the manufacture field to be monitored. In this paper, the description about these two types are given, and as for the special application of these image sensors into safety control, the construction of a hierarchy safety system is proposed. 展开更多
关键词 sensor network robot vision safety control stereo vision omni-direction vision
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Reliable Robust H∞ Tracking Control for a Class of Uncertain Lur'e Singular Systems 被引量:4
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作者 WANG Hui-Jiao LIN Yue-Song +2 位作者 XUE An-Ke PAN Hai-Peng LU Ren-Quan 《自动化学报》 EI CSCD 北大核心 2008年第8期893-899,共7页
为不明确的 Lur' e 的一个班追踪控制的可靠柔韧的 H 的问题单个系统被学习。致动器和传感器的一个实际、一般的失败模型被使用凸的 polytopic 无常描述控制表面缺陷考虑。一些足够的条件以线性矩阵不平等(LMI ) 为致动器,传感器... 为不明确的 Lur' e 的一个班追踪控制的可靠柔韧的 H 的问题单个系统被学习。致动器和传感器的一个实际、一般的失败模型被使用凸的 polytopic 无常描述控制表面缺陷考虑。一些足够的条件以线性矩阵不平等(LMI ) 为致动器,传感器和控制表面失败的案例被介绍。结果的控制系统是可靠的因为他们与当所有控制部件象一些控制部件什么时候经历失败一样是运作的时,没有不变的错误,追踪引用信号的 H 性能和输出保证靠近环的系统得到柔韧的稳定性。最后,一个数字例子被给显示出建议方法的有效性。 展开更多
关键词 可靠性 控制系统 传感器 不确定性
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面向材料腐蚀防护的铅铋合金氧测氧控研究进展 被引量:1
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作者 秦博 鲁盛会 +2 位作者 刘思涵 张洁 龙斌 《材料导报》 北大核心 2025年第4期135-146,共12页
铅铋合金具有优异的核性能、高导热率、高沸点和化学惰性等特点,以其作为冷却剂的铅铋快中子增殖反应堆是最具发展前景的第四代先进核能系统的六种堆型之一。铅铋合金冷却剂对反应堆结构材料较强的腐蚀性是限制铅铋快堆发展的重要因素;... 铅铋合金具有优异的核性能、高导热率、高沸点和化学惰性等特点,以其作为冷却剂的铅铋快中子增殖反应堆是最具发展前景的第四代先进核能系统的六种堆型之一。铅铋合金冷却剂对反应堆结构材料较强的腐蚀性是限制铅铋快堆发展的重要因素;然而,控制铅铋合金中溶解氧在特定的范围是实施结构材料在液态铅铋环境下腐蚀防护的有效手段之一,因此要求铅铋系统必须实现溶解氧的测量与控制,以保障反应堆的安全运行。近年来,随着铅铋快堆研发的深入,材料腐蚀防护关键共性技术不断突破,本文总结了面向反应堆结构材料腐蚀防护的铅铋溶解氧测量和控制技术研究进展,介绍了铅铋合金氧测氧控国内外研究现状,重点对比分析了不同氧控模式在铅铋快堆的应用前景,最后对面向铅铋快堆的氧测氧控技术的发展及应用进行了展望。 展开更多
关键词 铅铋合金 溶解氧 氧控 氧传感器 标定 腐蚀
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液压系统-主控阀动态特性的实时联合仿真方法
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作者 冀宏 李磊 +1 位作者 简洪超 赵文杰 《液压与气动》 北大核心 2025年第4期110-118,共9页
单一的液压系统建模对主控阀流场简化导致系统动态特性预测失真。以电液换挡操纵系统为对象,提出并实现了一种主控阀瞬态流场与液压系统仿真动态耦合的实时联合仿真方法,通过TCP/IP接口将电液控制系统模型与其主控阀流场模型的同步运算... 单一的液压系统建模对主控阀流场简化导致系统动态特性预测失真。以电液换挡操纵系统为对象,提出并实现了一种主控阀瞬态流场与液压系统仿真动态耦合的实时联合仿真方法,通过TCP/IP接口将电液控制系统模型与其主控阀流场模型的同步运算数据进行实时通讯。结果表明,该方法可以准确捕捉主控阀调节过程中内部瞬态流场参数及瞬变液动力,进而实时赋予液压系统模型中主控阀高精度参数,复现了系统振动及阀芯自激振动现象;同时发现,该系统的实时联合仿真得到主控阀液动力稳态值为12.53 N,而系统仿真值仅为0.50 N,与传统理论计算值8.09 N差距很大,此差别是引起动态性能预测差异的主要原因之一。 展开更多
关键词 电液控制系统 比例节流阀 实时联合仿真 瞬变液动力 阀芯振动
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电控固体推进剂常压燃速与电能参数的响应关系研究
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作者 黄印 彭圆坤 +6 位作者 张晢 贾宏福 翟隽杰 杨伯涵 李洪旭 张小平 庞爱民 《固体火箭技术》 北大核心 2025年第1期114-123,共10页
电控固体推进剂的燃烧性能研究主要集中在燃速与电压之间的响应特性,不足以准确描述其与外部电能参数的响应关系。选用代表性的硝酸盐HAN基和高氯酸盐PP基推进剂,采用位移传感器法研究了常压下电压、电流和功率等电能参数对推进剂燃速... 电控固体推进剂的燃烧性能研究主要集中在燃速与电压之间的响应特性,不足以准确描述其与外部电能参数的响应关系。选用代表性的硝酸盐HAN基和高氯酸盐PP基推进剂,采用位移传感器法研究了常压下电压、电流和功率等电能参数对推进剂燃速的影响以及不同填料配方的HAN基推进剂燃速与外部电能参数的响应关系,并对推进剂燃速与各电能参数的响应相关性分别进行数据拟合分析。结果表明,HAN基和PP基推进剂燃速与电压、电流和功率参数在多数情况下呈正相关关系,添加不同含量Al、AP或RDX的HAN基推进剂燃速与这些电能参数也呈现相同相关性;推进剂燃速与功率参数的响应相关性最佳,均高于同等条件下与电压或电流参数的响应相关性。功率是电能参数中影响电控固体推进剂燃速的最主要因素。 展开更多
关键词 电控固体推进剂 燃速 电能参数 位移传感器法
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多智能体系统协同互估计与控制一体化框架
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作者 段志生 吕跃祖 +3 位作者 段培虎 杨莹 王金枝 温广辉 《自动化学报》 北大核心 2025年第10期2359-2370,共12页
尽管多智能体系统协同控制已有广泛研究,现有分布式控制算法在个体传感器受损情况下仍存在性能下降问题.提出一种协同互估计与控制一体化设计新框架,通过充分利用个体传感器对其他智能体的测量信息,提升多智能体系统协同控制的弹性能力... 尽管多智能体系统协同控制已有广泛研究,现有分布式控制算法在个体传感器受损情况下仍存在性能下降问题.提出一种协同互估计与控制一体化设计新框架,通过充分利用个体传感器对其他智能体的测量信息,提升多智能体系统协同控制的弹性能力.首先,对整个多智能体系统构建分布式传感网络模型.其次,基于既定的协同控制任务,建立个体对整体控制输入的预测估计;进一步设计全局整体测量输出的分布式一致性追踪估计器.然后,利用整体控制输入预测和整体测量输出追踪,设计局部观测器实现整体状态估计.此外,将所提的一体化设计框架应用于线性多智能体系统协同一致性控制问题,提出反馈增益的联合设计方法,从理论上验证了所提框架的有效性.仿真结果进一步表明,该框架能够适用于多智能体系统部分传感器受损情形下的协同控制任务.最后,探讨协同互估计与控制一体化框架的未来研究方向. 展开更多
关键词 多智能体系统 状态互估计 一体化框架 传感器受损 协同控制
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一种永磁同步电机电流传感器故障容错控制算法
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作者 黄刚 张雨涵 +2 位作者 贾林 李祥飞 赵凯辉 《电机与控制学报》 北大核心 2025年第8期129-139,共11页
永磁同步电机驱动系统在工业上有广泛的应用,但振动冲击、环境变化及设备老化等因素易导致电机电流传感器故障,不可避免地降低系统控制精度。提出一种基于改进的等价输入干扰方法的电流传感器故障容错控制策略。首先,建立了包含电流传... 永磁同步电机驱动系统在工业上有广泛的应用,但振动冲击、环境变化及设备老化等因素易导致电机电流传感器故障,不可避免地降低系统控制精度。提出一种基于改进的等价输入干扰方法的电流传感器故障容错控制策略。首先,建立了包含电流传感器故障的系统模型,引入线性滤波器将传感器故障转化为增广系统的等效执行器故障,并用控制输入通道的等价输入干扰描述系统模型;其次,设计改进滑模观测器来估计等价输入干扰;最后,利用智能模糊逻辑规则自动调整观测器增益,提高对等价输入干扰的估计精度,将估计值补偿到控制输入端以抑制故障对系统输出的影响。对比仿真和实验结果表明,所提方法有效抑制了电流传感器故障的影响,提高了系统的控制精度。 展开更多
关键词 永磁同步电机 传感器故障 等价输入干扰 滑模观测器 容错控制
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多通道星载步进电机驱动复用技术研究
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作者 张超 陈焕红 +2 位作者 陈雨航 张艾 康建兵 《航天返回与遥感》 北大核心 2025年第3期74-83,共10页
步进电机广泛应用于空间光学遥感器机构中,传统设计驱动电路与电机单一对应,想要实现大规模步进电机的驱动控制,需要大量继电器进行信号切换,会导致电路的规模过大、成本过高;此外遥感器机构在发射过程中通常需要进行锁定,一般通过步进... 步进电机广泛应用于空间光学遥感器机构中,传统设计驱动电路与电机单一对应,想要实现大规模步进电机的驱动控制,需要大量继电器进行信号切换,会导致电路的规模过大、成本过高;此外遥感器机构在发射过程中通常需要进行锁定,一般通过步进电机的保持力矩来完成,但是大量步进电机的相绕组同时加电,也会导致相机分系统功耗过高的问题。为实现大规模步进电机的驱动控制与弱电流锁定功能,文章对多通道星载步进电机驱动复用技术进行了研究,设计了一种驱动复用电路,可实现多台步进电机的分时运动控制以及同步锁定功能,锁定电流值可以根据实际需求进行调节。针对设计的驱动复用电路,选用10台步进电机作为负载进行功能测试,试验结果表明:10台电机可实现分时运动控制功能,运行时电源电流为3 A,为步进电机额定电流值;10台电机可实现同步锁定功能,在100 kHz的调制频率下,锁定时电源电流为5 A,平均单台电机的锁定电流为0.5 A,仅为传统单相锁定电流的1/6。基于多通道星载步进电机驱动复用技术,不但可以对大规模步进电机的运动进行控制,还能够实现同步弱电流锁定功能,有效降低系统功耗,提高光学遥感器在发射过程和在轨运行中的可靠性。 展开更多
关键词 空间光学遥感器 驱动复用 分时控制 同步锁定 多通道电机
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基于粒子群算法的多目标跟踪优化传感器控制策略
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作者 陈辉 魏凤旗 +1 位作者 赵永红 彭天曙 《兰州理工大学学报》 北大核心 2025年第2期88-93,共6页
针对多目标跟踪优化问题,提出一种基于粒子群算法的传感器控制策略.首先由泊松多伯努利混合(PMBM)滤波器的预测过程得到多目标预测状态,然后以此为先验信息通过粒子群算法以最大限度地接近各目标为准则求解传感器最优观测位置,并由传感... 针对多目标跟踪优化问题,提出一种基于粒子群算法的传感器控制策略.首先由泊松多伯努利混合(PMBM)滤波器的预测过程得到多目标预测状态,然后以此为先验信息通过粒子群算法以最大限度地接近各目标为准则求解传感器最优观测位置,并由传感器捕捉优质量测信息,最后由PMBM滤波器的更新过程得到优化多目标后验状态.仿真实验对比了多目标跟踪优化的效果,结果表明该传感器控制策略有更好的多目标跟踪精度. 展开更多
关键词 传感器控制 粒子群算法 多目标跟踪 泊松多伯努利混合 最优观测
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