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

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。

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.