Robust H∞ control for a class of nonlinear systems with time-varying delay

The robust H_∞ control problem for a class of nonlinear system with time-varying delay is discussed. The nonlinear condition satisfying a kind of especial linear bound is assumed. By constructing Lyapunov-Krasovskii function and using integral inequality and the linear matrix inequality technique, the sufficient condition of memoryless state feedback robust H_∞ controller and the explicit design method for nonlinear systems with time-varying delay are given. Finally, an example is given to illustrate the effectiveness of the design method.