不确定切换时滞非线性系统状态切换的指数稳定性

Exponential stability of uncertain switched nonlinear time-delay systems with state-dependent switching

利用状态依赖控制策略对切换信号进行设计,使得一类参数不确定时滞非线性切换系统指数稳定且具有一定的H∞抗干扰性能.利用Lyapunov-Krasovskii(LK)函数方法,以线性矩阵不等式组的方式,给出了稳定切换律存在的充分条件,并且该系统是指数稳定的.通过引入自由矩阵并结合积分不等式技巧,得到了保守性较低的稳定性条件.仿真算例表明了所提出方法的有效性和较低的保守性.

By using the state-dependent switching control strategy, the switching rule design for global exponential stability with H∞performance of uncertain switched nonlinear systems with time-varying delay is considered. By using a Lyapunov-Krasovskii（LK） function technique, sufficient conditions for the existence of a class of stabilizing switching laws are derived in terms of linear matrix inequalities（LMIs） to guarantee the switched time delay system to be exponentially stable. The free weighting matrix and integral-inequality approaches are used to find the less conservative stability results. Numerical examples are provided to show the effectiveness and less conservativeness of the proposed methods.