凸多面体不确定随机时滞系统的非脆弱鲁棒镇定

摘要

The non-fragile robust exponentially stabilization problem for stochastic delay-varying systems with polytopic-type uncertainties is discussed, and the perturbed matrix in the actual implemented controller is assumed satisfying polytopic-type uncertainties. Based on parameterdependent Lyapunov-Krasovskii functional and free-weighting matrix method. the Lyapunov matrix and systems matrix are separated. Some delay-dependent non-fragile stabilization conditions are presented in terms of linear matrix inequalities. The simulation example shows that the result is efficient.%针对具有凸多面体不确定性的随机时滞系统,讨论了非脆弱鲁棒指数镇定问题,其中非脆弱控制器中的不确定性采用的是凸多面体不确定描述.基于Lyapunov直接法,采用了与参数相关的Lyapunov-krasovskii泛函,并结合自由权矩阵方法,使得Lyapunov矩阵与系统矩阵分离,从而获得了系统的完全基于线性矩阵不等式的时滞相关非脆弱鲁棒镇定的充分条件.最后,用例子说明了结果的有效性.