Abstract

In this paper, adaptive control is studied for a class of single-input–single-output (SISO) nonlinear discrete-time systems in strict-feedback form with nonparametric nonlinear uncertainties of the Lipschitz type. To eliminate the effect of the nonparametric uncertainties in an unmatched manner, a novel future states prediction is designed using states information at previous steps to compensate for the effect of uncertainties at the current step. Utilizing the predicted future states, constructive adaptive control is developed to compensate for the effects of both parametric and nonparametric uncertainties such that global stability and asymptotical output tracking is achieved. The effectiveness of the proposed control law is demonstrated in the simulation.

DOI

10.1016/j.automatica.2009.07.025

Publication Date

2009-11-01

Publication Title

Automatica

Volume

45

Publisher

Elsevier BV

Embargo Period

2024-11-22

First Page

2537-2545

Last Page

2537-2545

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