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非线性切换系统基于观测器的容错控制器设计
引用本文:朱芳来,侯永建,赵旭东,杨俊起.非线性切换系统基于观测器的容错控制器设计[J].控制与决策,2017,32(10):1855-1863.
作者姓名:朱芳来  侯永建  赵旭东  杨俊起
作者单位:同济大学电子与信息工程学院,上海201804,同济大学电子与信息工程学院,上海201804,大连理工大学信息与控制研究中心,辽宁大连116024;渤海大学工学院,辽宁锦州121013,河南理工大学电气工程与自动化学院,河南焦作454000
基金项目:国家自然科学基金项目(61573256,61573069,61403129);上海市科委“创新行动计划”项目(16111106 502);浙江省高端创新载体专项项目.
摘    要:针对一类具有执行器故障的非线性切换系统,研究基于系统状态估计和故障重构的容错控制问题.首先,在具有平均驻留时间(ADT)的切换信号下,设计一种切换PI观测器作为状态-故障估计器,以达到对系统状态和故障同时渐近估计的目的;其次,基于线性矩阵不等式,给出非线性切换系统观测器存在的充分条件;再次,基于PI观测器给出的状态和故障估计,提出一种非线性切换系统的容错控制器设计方法;最后,以一个电子电路为仿真实例进行分析,验证了所提出方法的可行性和适用性.

关 键 词:切换系统  PI切换观测器  故障重构  容错控制

Observer-based fault-tolerant controller design for nonlinear switched systems
ZHU Fang-lai,HOU Yong-jian,ZHAO Xu-dong and YANG Jun-qi.Observer-based fault-tolerant controller design for nonlinear switched systems[J].Control and Decision,2017,32(10):1855-1863.
Authors:ZHU Fang-lai  HOU Yong-jian  ZHAO Xu-dong and YANG Jun-qi
Affiliation:College of Electronics and Information Engineering,Tongji University,Shanghai 201804,China,College of Electronics and Information Engineering,Tongji University,Shanghai 201804,China,Faculty of Electronic Information and Electrical Engineering,Dalian University of Technology,Dalian 116024,China;College of Engineering,Bohai University,Jinzhou 121013,China and College of Electrical Engineering and Automation, He''nan Polytechnic University,Jiaozuo 454000,China
Abstract:This paper studies the problem of fault-tolerant control, based on state estimation and fault reconstruction, for a class of switched nonlinear systems with actuator faults. Under the switching signal with average dwell time(ADT), a switched PI observer which can asymptotically estimate the system states and faults simultaneously is developed. Then, the sufficient conditions of the existence of the switched PI observer are provided via linear matrix inequalities(LMIs). Moreover, a fault-tolerant controller is constructed by using the estimated state and fault information offered by the PI observer. Finally, an electronic circuit system is used as a simulation example to show that both the proposed observer and controller have satisfying performances.
Keywords:
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