Title

Adaptive and robust controls of uncertain systems with nonlinear parameterization

Authors

Authors

Z. H. Qu

Comments

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Abbreviated Journal Title

IEEE Trans. Autom. Control

Keywords

adaptive control; nonlinear parameterization; observer; robust control; uncertain systems; OUTPUT-FEEDBACK CONTROL; DYNAMICAL-SYSTEMS; STABILIZATION; Automation & Control Systems; Engineering, Electrical & Electronic

Abstract

Two classes of partially known systems are considered in this note; 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 semiglobal for the new adaptive control.

Journal Title

Ieee Transactions on Automatic Control

Volume

48

Issue/Number

10

Publication Date

1-1-2003

Document Type

Article

Language

English

First Page

1817

Last Page

1823

WOS Identifier

WOS:000185721400019

ISSN

0018-9286

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