Title

Robust Control Designed By Composition Of Lyapunov Functions

Abstract

A new method of designing a robust control law is proposed for a general class of nonlinear or linear systems with bounded uncertainties. The method uses the property that the Lyapunov function is not unique for a stable or stabilizable system. It is shown that the proposed control law normally guarantees the stability of the system if there are two Lyapunov functions whose null sets have a trivial intersection. The results require no knowledge about the structure and size of the input-unrelated uncertainties. Moreover, it is shown that asymptotic stabilization of the nominal system is not necessarily required in this method.

Publication Date

1-1-1991

Publication Title

Proceedings of the American Control Conference

Volume

3

Number of Pages

2731-2736

Document Type

Article; Proceedings Paper

Personal Identifier

scopus

DOI Link

https://doi.org/10.23919/acc.1991.4791899

Socpus ID

0026369570 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/0026369570

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