Abstract:

A method of delaydependent nonfragile controllers for a class of discretetime fuzzy bilinear systems with timevarying delay is presented. Based on constructing a new Lyapunov function and free weighting matrices, an improved delaydependent stability condition is obtained and the closedloop system is asymptotically stable in the presence of the additive controller gain perturbations. By introducing an additional matrix, the proposed stabilization conditions are formulated in terms of linear matrix inequalities(LMI), and the nonfragile controllers can be solved by LMI. Simulation results demonstrate the effectiveness of the proposed method.