基于LMI的不确定线性系统的有限时间H_∞控制

LMI Based Finite-time Control for Uncertain Linear System

研究具有时变外部干扰的不确定线性系统的H∞有限时间有界(FTB)问题。系统的状态矩阵和输入矩阵均含有范数有界的不确定项,利用构造Lyapunov函数的方法给出了不确定线性系统经由状态反馈FTB的充分条件,这些条件都可以转化为线性矩阵不等式(LMIs)可行性问题。最后通过数值算例验证该控制器设计方法的有效性。

Regarding the uncertain linear system under time-varying exogenous disturbance, its state-feedback control-based control finite time bounded （FIB） was discussed, and then making use of the Lyapunov functional method and linear matrix Inequalitys （LMIs） technique, the sufficient conditions of the linear system FTB via the state feed- back controller were provided, and furthermore, the conditions were reduced to the feasibility problems involving LMIs. A numerical example shows the validity of the proposed method.