Title

Adaptive And Robust Controls Of Uncertain Systems With Nonlinear Parameterization

Keywords

Adaptive control; Nonlinear parameterization; Observer; Robust control; Uncertain systems

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.

Publication Date

10-1-2003

Publication Title

IEEE Transactions on Automatic Control

Volume

48

Issue

10

Number of Pages

1817-1823

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1109/TAC.2003.817931

Socpus ID

0242365503 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/0242365503

This document is currently not available here.

Share

COinS