Output Feedback Stabilization for a Class of Uncertain High-Order Nonlinear Systems

Abstract

We investigate output feedback stabilization for a class of high-order nonlinear systems whose output function and nonlinear terms are unknown. First, a smooth state feedback control law is designed by adding a power integrator technique. Next, we design a high-order observer to estimate the unmeasurable state, and allocate gains of the observer one by one in an iterative way. Finally, a dynamic output compensator is achieved such that the closed-loop system converges to the equilibrium point quick. Two examples are provided to demonstrate the effectiveness of the proposed method.

Keywords

• Output feedback stabilization
• high-order nonlinear systems
• observer design
• dynamic output compensator