Delay-dependent robust H_∞ control for 2-D discrete nonlinear systems with state delays

摘要

This paper investigates the problem of robust H_∞ control for a class of 2-D (two-dimensional) discrete state delayed systems with sector nonlinearity described by a model of Roesser type. Firstly, a delay-dependent sufficient condition of robust exponential stability for such 2-D discrete systems is derived in linear matrix inequalities (LMIs) form. Secondly, a delay-dependent exponential stability criterion with H_∞ performance for the considered systems is also proposed. Then a state feedback H_∞ controller is constructed based on the above results. Finally, numerical examples are given to illustrate the effectiveness of the proposed method.