凸多面体不确定随机时滞系统的非脆弱鲁棒镇定

doi:10.3969/j.issn.1001 506X.2011.01.30

Journal of Systems Engineering and Electronics ›› 2011, Vol. 33 ›› Issue (1): 146-0150.doi: 10.3969/j.issn.1001 506X.2011.01.30

凸多面体不确定随机时滞系统的非脆弱鲁棒镇定

高文华1,邓飞其2,张瑞秋3

1. 华南理工大学理学院, 广东广州 510640；
2. 华南理工大学自动化科学与工程学院，广东广州 510640；
3. 华南理工大学设计学院，广东广州 510640

出版日期:2011-01-20 发布日期:2010-01-03

Non-fragile robust stabilization for stochastic delay-varying systems with polytopic-type uncertainties

GAO Wen-hua1,DENG Fei-qi2,ZHANG Rui-qiu3

1. School of Sciences, South China University of Technology, Guangzhou 510640, China；
2. School of Automation Science and Engineering, South China University of Technology, Guangzhou 510640, China;
3. School of Design, South China University of Technology, Guangzhou 510640, China

Online:2011-01-20 Published:2010-01-03

摘要/Abstract

摘要：

针对具有凸多面体不确定性的随机时滞系统，讨论了非脆弱鲁棒指数镇定问题，其中非脆弱控制器中的不确定性采用的是凸多面体不确定描述。基于Lyapunov直接法，采用了与参数相关的Lyapunovkrasovskii泛函，并结合自由权矩阵方法, 使得Lyapunov矩阵与系统矩阵分离，从而获得了系统的完全基于线性矩阵不等式的时滞相关非脆弱鲁棒镇定的充分条件。最后,用例子说明了结果的有效性。

Abstract:

The nonfragile robust exponentially stabilization problem for stochastic delayvarying systems with polytopictype uncertainties is discussed，and the perturbed matrix in the actual implemented controller is assumed satisfying polytopictype uncertainties. Based on parameterdependent LyapunovKrasovskii functional and freeweighting matrix method, 〖JP2〗the Lyapunov matrix and systems matrix are separated. Some delaydependent nonfragile stabilization conditions are presented in terms of linear matrix inequalities. 〖JP〗The simulation example shows that the result is efficient.

高文华,邓飞其,张瑞秋. 凸多面体不确定随机时滞系统的非脆弱鲁棒镇定[J]. Journal of Systems Engineering and Electronics, 2011, 33(1): 146-0150.

GAO Wen-hua,DENG Fei-qi,ZHANG Rui-qiu. Non-fragile robust stabilization for stochastic delay-varying systems with polytopic-type uncertainties[J]. Journal of Systems Engineering and Electronics, 2011, 33(1): 146-0150.

凸多面体不确定随机时滞系统的非脆弱鲁棒镇定

Non-fragile robust stabilization for stochastic delay-varying systems with polytopic-type uncertainties

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