Robust <i>H</i><sub><i>∞</i></sub> Control for a Class of Nonlinear Uncertain Singular Systems with Time Delays both in State and Output

Abstract

This paper discusses the problem of robust control for a class of nonlinear uncertain singular systems with time delays. Considering the nonlinear disturbance link to uncertain singular systems with time delays effects, the design idea of robust controller is presented. Using Lyapunov stability theory and linear matrix inequality (LMI) method, a robust controller design example of such nonlinear uncertain singular systems with time delays both in state and output is given. Under nonlinear uncertain functions satisfying Lipschitz condition, a sufficient condition of such nonlinear uncertain singular systems which are asymptotically stable and satisfy the robust performance is obtained. Finally, a numerical example is given to show the applicability of the proposed method.