Robust observer‐based control for uncertain discrete time‐delay systems with nonlinearities electric‐hydraulic system under Hölder condition

Abstract

Summary In this paper, the robustness and H∞ control problems of output dynamic observer‐based control for uncertain discrete time‐delay systems with nonlinearities under a class of Hölder condition are considered. The parameter uncertainties enter into all the system matrices, the time‐varying delay is unknown with given lower and upper bounds, and the nonlinearities are described by satisfying a class of α Hölder condition. The asymptotic stabilization for uncertain time‐delay nonlinear system will be guaranteed. Linear matrix inequality optimization approach is used to design the robust observer‐based H∞ output dynamic controls. The feedback control and observer gains are got from linear matrix inequality optimization feasible solution. Electric‐hydraulic system is described and used to illustrate the method.