一类不确定时滞切换系统的非脆弱H_∞控制

Non-fragile H_∞ Control for a Class of Uncertain Time-Delay Switched Systems

讨论了一类不确定时滞切换系统在特定切换条件下的非脆弱状态反馈的H∞控制问题.主要利用凸组合技术、公共Lyapunov函数及线性矩阵不等式等方法,给出了在不确定时滞切换系统中存在非脆弱状态反馈控制器并且满足H∞性能指标γ的充分条件.最后给出了仿真算例,验证了其结果的有效性.定理的条件是以线性矩阵不等式形式给出的,因此便于工程实现.

The problem of non-fragile state feedback H∞ control for a class of uncertain time-delay switched systems was discussed on the particularly switched condition.Based on the common Lyapunov function,convex combination technique and linear matrix inequality,the sufficient condition for the existence of non-fragile state feedback controller was given,and this condition also met the H∞ performance index.In the end,the simulation example was given to verify the effectiveness of the proposed method.The condition of the theorem in the form of linear matrix inquality was put forward,which is easy to realize in practice.