Robust Passive Control for Nonlinear Systems with Time-Varying Delay and Polytopic Uncertainty

The robust passive control problem for a class of nonlinear system with time-varying delay and polytopic uncertainty is discussed. The nonlinear condition satisfying a kind of especial linear bound is assumed. By constructing Lyapunov-Krasovskii functional and using the methods of integral inequality and linear matrix inequality technique, the sufficient condition of memory state feedback strong robust stable and strictly passive controller existence and the explicit design method for nonlinear systems with time-varying delay are given. Finally, a simulation example is given to illustrate the effectiveness of the proposed approach.