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.
Highlights
It is challenge to investigate output feedback stabilization for nonlinear systems since it involves in observer designs
A dynamic output compensator is achieved such that the closed-loop system is globally asymptotically stable quick
We investigate a class of high-order nonlinear systems whose output function and nonlinear terms are unknown
Summary
It is challenge to investigate output feedback stabilization for nonlinear systems since it involves in observer designs. More recent works about global output feedback stabilization for nonlinear systems with uncertain growth and higher-order growth conditions can be found in [5]–[7]. For a class of high-order switched nonlinear systems, output-feedback control is appeared in [10], [11]. When the output function of the high-order nonlinear systems [8]–[11] is unknown, how to design global output feedback controller becomes much more challenge. This paper investigates output feedback stabilization for a class of high-order nonlinear systems with unknown output function and nonlinear terms. D. Wang et al.: Output Feedback Stabilization for Class of Uncertain High-Order Nonlinear Systems (3) the advantage of dynamic output compensator is that the closed-loop system converges to the equilibrium point quick
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