Non-Fragile Delay-Dependent Robust $H_\Infty$Control for Uncertain Systems
不确定时滞系统的时滞相关非脆弱鲁棒[[H_infty]]控制

This paper is concerned with the problem of delay-dependent non-fragile Robust $H$-infinite control for uncertain systems. Based on an integral inequality method, a new delay-dependent condition, which can ensure that the closed-loop system is internally stable with a given $H$-infinite disturbance attenuation level via a non-fragile controller, is obtained by using the Lyapunov-Krasovskii stability theory. Then, the design of non-fragile $H$-infinite controller is proposed. No any parameter needs to be tuned. It can be easily solved in terms of linear matrix inequalities (LMI) in Matlab Toolbox. Finally, a numerical simulation is given to show the validity of this approach.