摘要
针对一类由离散事件监控的连续动态子系统组成的混杂动态系统 ,首先分析利用多Lyapunov函数方法已有成果 ,指出切换超平面为滑动模时 ,利用这种方法不能确保混杂系统的稳定 .基于Filipov理论给出了能活稳定性结果 .对于混杂系统的连续动态子系统为线性时不变情况下 ,研究了混杂系统二次镇定条件 .最后给出一个例子来说明本文方法 .
The hybrid systems considered here consist of the continuous_valued systems under the supervision of discrete event. We first analyze the prior results of stability using multiple Lyapunov approach and present that the stability can not be guaranteed if only the method of multiple Lyapunov functions is used when the switching hypersurface becomes sliding mode. Based on Filipov theory, the result of viable Lyapunov stability is obtained. When the subsystems of hybrid systems are linear time_invariant, quadratic stabilization condition of LTI hybrid systems is studied. Finally an example is given to illustrate the proposed method.
出处
《控制理论与应用》
EI
CAS
CSCD
北大核心
2002年第3期457-461,共5页
Control Theory & Applications
基金
supportedbyNationalOutstandingYouthScienceFoundationofChina (6972 5 0 0 5)
NationalNaturalScienceFoundationofChina(699740 3 5 ) .