The robust asymptotically stabilization of uncertain nonlinear systems based on high-gain observer

The problem of robust control for uncertain nonlinear systems with high-gain observer is considered. Using singularly perturbed theory, we have proven that the closed loop system based on high-gain output feedback controller is asymptotically stable as long as the state feedback system is asymptotically stable under the meaning of stability in the first approximation, the states will enter the positively invariant subset within finite time under some definite initial conditions, and the controller is robust to all uncertain terms that belong to a known compact set. The simulation results show the output feedback controller can recur the performance of the state feedback.