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具有容错控制的不确定时滞切换系统的鲁棒稳定性分析
Robust Stability analysis of linear switched delay uncertain systems with fault-tolerant control
【Author】 XIANG Chang-cheng~1,XIONG Liang-lin~2,ZHONG Shou-ming~2 (1.Department of computer science,Aba Teacher College,Wenchuan,623000,P.R.China; 2.School of Applied Mathematics,University of Electronic Science and Technology of China,Chengdu, 610054,PR China)
【机构】 阿坝师范高等专科学校计算机科学系; 电子科技大学应用数学学院;
【摘要】 本文研究了一类切换不确定性时滞切换容错控制系统的稳定性问题,其中的线性分式不确定性结构包含了范数有界的不确定性结构。通过构造新的分段李雅普诺夫泛函,结合梅兹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的判定系统稳定的新结果。本文设计的依赖于状态切换规则便于计算,易于检验。最后,Simulink仿真实例验证了本文结论的可行性。
【Abstract】 In this paper,the problem of a class of switched delay system with fault-tolerant control is studied.The uncertainty is assumed to be of structured linear fractional from which includes the norm-bounded uncertainty as a special case. Combined the quality of Metzler matrix with the technique of linear matrix inequalities(LMIs),the novel piecewise Lyapunov functionals are constructed,and 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,the simulation obtained by the tool box of Matlab is to illustrate the effectiveness of the results obtained in this paper.
【Key words】 linear switched delay systems; fault-tolerant control; piecewise Lyapunov functional; linear matrix inequalities(LMIs); switching rules;
- 【会议录名称】 2009年中国智能自动化会议论文集(第一分册)
- 【会议名称】2009年中国智能自动化会议
- 【会议时间】2009-09-27
- 【会议地点】中国江苏南京
- 【分类号】TP13
- 【主办单位】中国自动化学会智能自动化专业委员会、江苏省自动化学会