Delay-dependent criteria for robust H∞ control of uncertain nonlinear delayed systems

This paper deals with the problem of robust H_∞ control for uncertain systems with state delays and unknown nonlinear functions. The parameter uncertainties are unknown but norm-bounded and the nonlinear part is assumed to satisfy a so called bound condition. Firstly, a useful proposition is developed. Then we present a method for robust H_∞ stabilization for the class of uncertain delay systems via linear memoryless state feedback control. The results depend on the size of the delays and are given in terms of linear matrix inequalities, so they are less conservative than those of delay-independent