一类切换系统的鲁棒状态反馈控制  

Robust state feedback control for one class of switched systems

作　　者：宗广灯[1] 武玉强[2] 费树岷[1] 

机构地区：[1]东南大学自动化研究所,江苏南京210096 [2]曲阜师范大学自动化研究所,山东曲阜273165

出　　处：《系统工程学报》2004年第5期507-511,共5页Journal of Systems Engineering

基　　金：国家自然科学基金资助项目(60174042);山东省自然科学基金资助项目(Y2003G02).

摘　　要：考虑了一类非线性不确定切换系统的鲁棒状态反馈稳定问题,不确定项包含了系统矩阵的摄动以及满足匹配条件和不满足匹配条件三部分.对于给定的不确定切换系统,研究了其二次稳定和渐近稳定问题.基于公共李雅普诺夫函数方法,以矩阵不等式的形式给出了非线性切换系统鲁棒状态反馈稳定的若干充分条件.仿真结果验证了文中结论的正确有效性.The robust state feedback stabilization problem for a class of nonlinear uncertain switched systems is considered. The uncertainties include three parts: the disturbance to the system matrix, the uncertainty satisfying matching condition and the one not satisfying the matching condition. The problems of quadratic stabilization and asymptotic stabilization are investigated for the given uncertain switched systems. Based on the common Lyapunov function technique, some sufficient conditions for the robust stability of the switched systems are presented in the form of matrix inequalities. Simulations validate the correctness and effectiveness of the results.

关 键 词：切换系统 鲁棒状态反馈控制 非线性 公共李雅普诺夫函数 线性矩阵不等式 

分 类 号：TP273.4[自动化与计算机技术—检测技术与自动化装置]