Title |
Delay-dependent Robust H_∞ Control for Uncertain Discrete-time Descriptor Systems with Interval Time-varying Delays in State and Control Input |
Keywords |
Discrete-time Descriptor Systems ; H_∞ Control ; Delay-dependent Approach ; Parameter Uncertainty ; LMI |
Abstract |
In this paper, we consider the design problem of delay-dependent robust H∞ controller of discrete-time descriptor systems with parameter uncertainties and interval time-varying delays in state and control input by delay-dependent LMI (linear matrix inequality) technique. A new delay-dependent bounded real lemma for discrete-time descriptor systems with time-varying delays is derived. The condition for the existence of robust H∞ controller and the robust H∞ state feedback control law are proposed by LMI approach. A numerical example is demonstrated to show the validity of the design method. |