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线性切换容错控制系统稳定性的新判据
New stability of linear switched systems with fault-tolerant control
【摘要】 研究了线性切换容错控制系统的稳定性问题。利用分段李雅普诺夫函数方法,结合梅茨勒矩阵的性质和矩阵不等式的分析技巧,得到了基于李雅普诺夫—梅兹勒线性矩阵不等式判定系统稳定的新结果。设计依赖于状态的切换规则便于计算、易于检验。最后利用MATLAB工具箱得到的仿真实例验证了本结果的可行性。
【Abstract】 This paper studied the problem of the stability of linear switched systems with fault-tolerant control.Using the piecewise Lyapunov approach,combined with the qualities of Metzler matrix and the technique of linear matrix inequalities(LMIs),the results which in terms of Lyapunov-Metzler LMIs were obtained. The switching rules which dependent on the state are easy to compute and test. Finally,gave the obtained simulation by the tool box of MATLAB to illustrate the effectiveness of the results obtained in this paper.
【关键词】 线性切换时滞系统;
分段李雅普诺夫泛函;
线性矩阵不等式;
切换规则;
【Key words】 linear switched systems; piecewise Lyapunov functional; linear matrix inequalities; switching rules;
【Key words】 linear switched systems; piecewise Lyapunov functional; linear matrix inequalities; switching rules;
【基金】 国家自然科学基金重点资助项目(NSFC-60736029);2006教育部新世纪优秀人才支持计划资助项目(NCET-06-0811)
- 【文献出处】 计算机应用研究 ,Application Research of Computers , 编辑部邮箱 ,2009年07期
- 【分类号】TP13
- 【被引频次】4
- 【下载频次】197