| 凸多面体不确定随机时滞系统的非脆弱鲁棒镇定 |
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| 引用本文： | 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].系统工程与电子技术,2011,33(1):146-0150. |
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| 作者姓名： | 高文华 邓飞其 张瑞秋 |
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| 作者单位： | 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 |
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| 基金项目： | 国家自然科学基金(60874114)资助课题 |
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| 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。
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| 关 键 词： | 随机系统 时滞 凸多面体 鲁棒镇定 非脆弱镇定 |
Non-fragile robust stabilization for stochastic delay-varying systems with polytopic-type uncertainties |
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| GAO Wen-hua,DENG Fei-qi,ZHANG Rui-qiu.Non-fragile robust stabilization for stochastic delay-varying systems with polytopic-type uncertainties[J].System Engineering and Electronics,2011,33(1):146-0150. |
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| Authors: | GAO Wen-hua DENG Fei-qi ZHANG Rui-qiu |
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| Institution: | 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 |
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| 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,the Lyapunov matrix and systems matrix are separated.Some delay-dependent non-fragile stabilization conditions are presented in terms of linear matrix inequalities... |
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| Keywords: | stochastic system time delay polytopic-type uncertainty robust stabilization non-fragile stabilization |
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