Abstract:This paper presents an approach to design non-fragile H∞/L2-L∞ static output feedback control applied in design of vehicle active suspension, by considering input time-delay of the system and parameter perturbation of the controller. According to suspension design requirements, the H∞ and L2-L∞ norms are used respectively to reflect ride comfort and time-domain hard constraints. By employing a delay-dependent Lyapunov function, existence conditions of delay-dependent non-fragile static output feedback H∞ controller and L2-L∞ controller are derived respectively in terms of the feasibility of bilinear matrix inequalities (BMIs). Then, a new procedure based on linear matrix inequality (LMI) optimization and a hybrid algorithm of the particle swarm optimization (PSO) and differential evolution (DE) is used to solve an optimization problem with BMI constraints. Simulation results show that the designed active suspension system can guarantee their own performance.