Robust H∞ Control of Nonlinear Time-Varying Delay Systems with Polytopic Uncertainty

Robust H-infinity control problem of nonlinear time-varying delay systems with polytopic uncertainty is discussed. The nonlinear condition satisfying a kind of especial 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-infinity performance is given. The explicit design method of the robust H-infinity controller is proposed. Finally, an numerical example is given to illustrate the effectiveness of the proposed method.