不确定离散切换系统的状态反馈鲁棒控制

Journal of Systems Engineering and Electronics ›› 2010, Vol. 32 ›› Issue (2): 372-375.

不确定离散切换系统的状态反馈鲁棒控制

张金华1，姜建妹1，杨月全1，蔡宁2，张天平1

(1. 扬州大学信息工程学院自动化专业部, 江苏扬州 225009；
2. 皇家墨尔本理工大学电气与计算机工程系, 墨尔本维多利亚 3001）

出版日期:2010-02-03 发布日期:2010-01-03

State feedback robust control for a class of uncertain switched discrete systems

ZHANG Jin-hua1, JIANG Jian-mei1, YANG Yue-quan1, CAI Ning2, ZHANG Tian-ping1

( 1. Dept. of Automation, Coll. of Information Engineering, Yangzhou Univ., Yangzhou 225009, China； 
2. School of Electrical and Computer Engineering, RMIT Univ., Melbourne 3001, Australia)

Online:2010-02-03 Published:2010-01-03

摘要/Abstract

摘要：

针对同时具有模型参数不确定性和外部扰动的一类离散切换系统，研究H∞其鲁棒控制和H2/H∞混合鲁棒控制问题。首先，基于多Lyapunov函数法分析了含有状态反馈控制器的离散切换系统的稳定性和H∞鲁棒控制问题。其次，基于线性矩阵不等式，通过建立和求解一个凸优化问题，给出不确定H2/H∞鲁棒控制的具有更小保守性的求解方法。最后，仿真算例验证了所提出方案的可行性。

Abstract:

H∞ and H2/H∞robust control for a class of switched discrete systems with parameter uncertainty and external disturbance are studied. Firstly, stability and H∞ control performance of the switched systems under consideration with state feedback controller are presented, based on multiple Lyapunov function method. Secondly, the convex optimization problem is established for H-2/H∞ control and its optimization solution is given which has smaller conservative property. The simulation further verifies the feasibility of the proposed scheme posed.

张金华1，姜建妹1，杨月全1，蔡宁2，张天平1. 不确定离散切换系统的状态反馈鲁棒控制[J]. Journal of Systems Engineering and Electronics, 2010, 32(2): 372-375.

ZHANG Jin-hua1, JIANG Jian-mei1, YANG Yue-quan1, CAI Ning2, ZHANG Tia. State feedback robust control for a class of uncertain switched discrete systems[J]. Journal of Systems Engineering and Electronics, 2010, 32(2): 372-375.