基于观测器的非线性不确定时滞跳变系统无源控制

数学物理学报 ›› 2009, Vol. 29 ›› Issue (2): 334-343.

基于观测器的非线性不确定时滞跳变系统无源控制

何舒平, 刘飞

(江南大学自动化研究所 |江苏无锡 214122)

收稿日期:2007-03-10 修回日期:2008-09-28 出版日期:2009-04-25 发布日期:2009-04-25
基金资助:
国家自然科学基金(60574001)和教育部新世纪优秀人才支持计划(050485)资助

Observer-based Passive Control for Nonlinear Uncertain Time-delay Jump Systems

HE Shu-Beng, LIU Fei

(Institute of Automation, Jiangnan University, Jiangsu Wuxi 214122)

Received:2007-03-10 Revised:2008-09-28 Online:2009-04-25 Published:2009-04-25
Supported by:
国家自然科学基金(60574001)和教育部新世纪优秀人才支持计划(050485)资助

摘要/Abstract

摘要：

该文基于鲁棒控制理论, 采用线性矩阵不等式(LMI)方法, 研究了一类非线性不确定时滞Markov跳变系统的无源控制问题, 设计了基于观测器的无源控制器. 通过构造合适的Lyapunov函数, 给出了对所有允许的不确定、时滞和非线性, 被控对象满足无源控制指标约束下系统渐近稳定的一个充分条件. 求解一个线性矩阵不等式, 即可获得系统的无源控制器. 仿真示例显示了该文设计方法的有效性.

关键词: Markov跳变系统, 非线性, 不确定时滞, 无源控制, 观测器, 线性矩阵不等式(LMI)

Abstract:

Based on the robust control theory, the problem of passive control and the design of the observer-based passive controller for a class of nonlinear uncertain time-delay Markov jump systems are dealt with by using linear matrix inequalities. By constructing proper Lyapunov functions, a sufficient condition for the system to be asymptotically stable with a passive index bound is presented for all admissible uncertainties, time-delays,
and nonlinearities. The passive controller is obtained by solving a linear matrix inequality. Simulation results demonstrate the validity of the proposed approaches.

Key words: Markov jump systems, Nonlinear, Uncertain time-delay, Passive control, Observer, Linear matrix inequality (LMI)

中图分类号:

34F05

何舒平, 刘飞. 基于观测器的非线性不确定时滞跳变系统无源控制[J]. 数学物理学报, 2009, 29(2): 334-343.

HE Shu-Beng, LIU Fei. Observer-based Passive Control for Nonlinear Uncertain Time-delay Jump Systems[J]. Acta mathematica scientia,Series A, 2009, 29(2): 334-343.

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