Design of Robust Adaptive Controllers for Nonlinear Systems with Dynamic Uncertainties

Authors:
Zhong-Ping Jiang;Laurent Praly
Affiliations:
Department of Electrical Engineering, Bldg J13, The University of Sydney, NSW 2006, Australia. E-mail zjiang@ee.usyd.edu.au.;Center Automatique et Systèmes, Ecole des Mines de Paris, 35, Rue Saint-Honoré, 77305 Fontainebleau cédex, France
Venue:
Automatica (Journal of IFAC)
Year:
1998

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Abstract

In this paper, a modified adaptive backstepping design procedure is proposed for a class of nonlinear systems with three types of uncertainty: (i)unknown parameters; (ii)uncertain nonlinearities and (iii)unmodeled dynamics. Nonlinear damping terms are used to counteract the uncertain nonlinear functions and a dynamic signal is introduced to dominate the dynamic disturbance. The derived adaptive controller guarantees the global boundedness property for all signals and states and at the same time, steers the output to a small neighborhood of the origin. Incidentally an adaptive output-feedback control problem is solved.