Robust stabilization for a class of discrete-time systems with nonlinear perturbations

This paper discusses robust stabilization problem for a class of multi-input multi-output (MIMO) discrete-time linear systems with both state and control input contained nonlinear perturbations. The problem is solved via static output feedback. A unified approach is used to cast the problem into a convex optimization involving linear matrix inequality, the controller can robustly stabilize the systems and maximize the bound on the nonlinear perturbations.