Non-fragile delay-dependent H∞ control for uncertain systems

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.