Adaptive State Regulation for a Class of Uncertain Nonlinear Systems

Document Type

Conference Proceeding

Publication Date

1-1-2025

Abstract

We study state regulation for a class of uncertain nonlinear systems, involving unknown and slowly time varying parameters, aimed at achieving the desired operating state which is the operating point of the system state. In the case of stationary operating states, an adaptive control law is developed to asymptotically stabilize and regulate the system state to the desired operating state in the presence of uncertain parameters. If the operating state is non-stationary, a secondary least-squares (LS) estimator is developed to aid asymptotic linearization of the uncertain nonlinear system, in conjunction with the adaptive control law. Under the persistent excitation condition, the state regulation can again be achieved for non-stationary operating states. The simulation study illustrates the effectiveness of the proposed adaptive control law, the secondary LS estimator, asymptotic linearization and state regulation.

Publication Source (Journal or Book title)

Chinese Control Conference Ccc

First Page

298

Last Page

303

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