Title

Robust Control Design For Nonlinear Uncertain Systems In The Absence Of The Generalized Matching Conditions

Abstract

In this paper, we shall introduce and study a constructive procedure of designing robust control for uncertain nonlinear systems. The design procedure, called recursive-interlacing, is based on the Lyapunov's direct method and includes recursive or backstepping designs as special cases. Nonlinear systems under investigation contain uncertainties that do not satisfy any of the previously developed conditions such as the matching conditions [6], the conditions of being equivalently matched [15], and the generalized matching conditions [18]. Two classes of nonlinear uncertain systems of third order vector are presented for which robust controls are designed by the recursive-interlacing design. Due to the space limitation, only two of nonlinear third order vector systems are studied in details. Other classes of third order vector systems will be treated in upcoming papers.

Publication Date

12-1-1995

Publication Title

Proceedings of the IEEE Conference on Decision and Control

Volume

2

Number of Pages

1664-1669

Document Type

Article; Proceedings Paper

Personal Identifier

scopus

Socpus ID

0029486753 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/0029486753

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