Robust H∞ Control of Nonlinear Time-varying Delay Systems

Abstract

Robust H∞ control problem of nonlinear time-varying delay systems with polytopic uncertainty is discussed. The nonlinear condition satisfying a kind of special linear bound is assumed. By constructing Lyapunov- Krasovskii functional and using integral inequality and the linear matrix inequality technique, the sufficient condition for nonlinear time-varying delay systems with polytopic uncertainty to be asymptotically stable and satisfy H∞ performance is given. The explicit design method of the robust H∞ controller is proposed. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.