Feedback Linearization for Nonlinear Systems With Time-Varying Input and Output Delays by Using High-Gain Predictors

This note addresses the problem of feedback linearization for nonlinear systems with time-varying input and output delays. To solve the realization issue of future states, a high-gain-observer is constructed as a predictor. Then, the output feedback predictive control is presented. The stability of the closed-loop system is analyzed by using a Lyapunov-Krasovskii functional. It is demonstrated that by designing the observer gain high enough, the closed-loop system recovers the performance of state feedback control with no time delay. However, the gain of the observer is limited by the time delay. Finally, numerical simulations are given to illustrate the effectiveness of the proposed control.