Title

Adaptive And Robust Controls Of Uncertain Systems With Nonlinear Parameterization

Abstract

Two classes of partially-known systems are considered in the paper, both of them have a fractional parameterization of the unknowns. The first class consists of nonlinear systems whose uncertainties are bounded by a function of fractional parameterization, and the second class compromises those systems whose unknown dynamics can directly but nonlinearly be parameterized. It is shown that adaptive robust control can be extended to accommodate nonlinearly parameterized bounding functions and that, with the aid of a robust auxiliary system, new adaptation laws and a simple adaptive control can be designed for the unknowns in the fractional parameterization. Practical stability (in terms of uniform boundedness and ultimate boundedness) is shown: global for adaptive robust control and semi-global for the new adaptive control.

Publication Date

1-1-2002

Publication Title

Proceedings of the American Control Conference

Volume

3

Number of Pages

1791-1796

Document Type

Article; Proceedings Paper

Personal Identifier

scopus

Socpus ID

0036349234 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/0036349234

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