一类不确定随机切换系统的鲁棒H_∞滑模控制

Robust H-Infinity Sliding Mode Control for Uncertain Stochastic Switched Systems

研究了一类含有非匹配不确定性且具有外部干扰的随机切换系统的H∞滑模控制问题.利用线性矩阵不等式(LMI)技术和单Lyapunov函数方法,设计单H∞滑模面及切换律,确保随机切换系统的滑模运动方程的鲁棒渐近稳定性,且具有H∞扰动衰减度γ;然后给出了滑模面次可达性的定义,设计了滑模控制器以保证滑模面的次可达性.仿真算例说明所提出设计方法的有效性.

In this paper,the robust H-infinity sliding-mode control is addressed for a class of stochastic switched systems with mismatched uncetainties and external disturbances.Based on the linear matrix inequality（LMI） technique and the single Lyapunov function approach,a single H-infinity sliding surface and a switching law are designed such that the sliding mode dynamic equation of stochastic switched systems is robustly asymptotical stability;Furthermore,a concept of the subordinated reachability of the sliding surface is introduced,the sliding mode controller is designed to ensure that the sliding surface is subordinated reachable.A numerical example illustrates the effectiveness of the proposed design method.