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An LMI approach to persistent bounded disturbance rejection for a class of nonlinear impulsive systems
Hao, Fei ; Wang, Long
刊名nonlinear analysis hybrid systems
2007
关键词Nonlinear impulsive systems Disturbance rejection LMI L-1-performance
DOI10.1016/j.nahs.2006.03.006
英文摘要The problem of persistent bounded disturbance rejection for a class of nonlinear (Lipschitz-like) impulsive systems is considered through invariant set analysis using the Lyapunov function method. Conditions on a robust attractor for this class of systems are given in terms of linear matrix inequalities (LMIs), which ensure simultaneously internal stability and desired L-1-performance. The obtained results are only dependent on the Lipschitz-like constant matrices without regard to the nonlinear forms. Based on the results, a simple approach to the design of a robust controller is presented. Finally, a numerical example is worked out to illustrate the efficiency of the theoretical results. (C) 2006 Elsevier Ltd. All rights reserved.; Automation & Control Systems; Mathematics, Applied; SCI(E); 0; ARTICLE; 3; 297-305; 1
语种英语
内容类型期刊论文
源URL[http://ir.pku.edu.cn/handle/20.500.11897/249792]  
专题工学院
推荐引用方式
GB/T 7714
Hao, Fei,Wang, Long. An LMI approach to persistent bounded disturbance rejection for a class of nonlinear impulsive systems[J]. nonlinear analysis hybrid systems,2007.
APA Hao, Fei,&Wang, Long.(2007).An LMI approach to persistent bounded disturbance rejection for a class of nonlinear impulsive systems.nonlinear analysis hybrid systems.
MLA Hao, Fei,et al."An LMI approach to persistent bounded disturbance rejection for a class of nonlinear impulsive systems".nonlinear analysis hybrid systems (2007).
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