Design of delay-dependent fuzzy controller for fuzzy bilinear system

For a class of discrete-time fuzzy bilinear systems with delay, a delay-dependent stability controller is designed and analyzed based on a type of new Lyapunov function in this paper. By the combined approaches of parallel distributed compensation (PDC) and free-weighting matrices, some sufficient conditions are derived to guarantee the asymptotically stability. The stabilization conditions of controller are turned into the problem of solving linear matrix inequalities (LMIs), so that the controller design could be accomplished by using Matlab LMI toolbox. A simulation example is provided to demonstrate the effectiveness of the approaches.