Delay-dependent Guaranteed Cost Control for Uncertain Nonlinear Discrete-time Systems

Abstract

The delay-dependent guaranteed cost control problem is studied for a class of uncertain nonlinear discrete systems with time-delay. A sufficient condition is presented for the existence of a memory state feedback and a parameterized representation of the control laws is given in terms of certain linear matrix inequalities (LMIs). The non-convex feasible problem is converted into convex optimization problem, and the design procedure of optimal control law is given.