Robust H∞ control of nonlinear time-varying delay systems with polytopic uncertainty

Robust H_∞ 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_∞ performance is given. The explicit design method of the robust H_∞ controller is proposed. Finally, an numerical example is given to illustrate the effectiveness of the proposed method.