Robust observer design for Lipschitz nonlinear systems using quadratic polynomial constraints

Yan Wang, David M. Bevly

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

This paper discusses the observer design for the uncertain Lipschitz nonlinear systems. A new stability analysis method for the Lure problem is first presented. Then, a nonlinear observer is proposed so that the observer error dynamic model can be transformed to an equivalent Lure system in which the input-output relationship of the nonlinear memoryless block is belong to the semi-algebraic set defined by several quadratic polynomial constraints. A sufficient condition for the exponential stability of the observer error dynamics is formulated in terms of the feasibility of linear matrix inequalities (LMIs).

Original languageEnglish (US)
Article number6426517
Pages (from-to)6621-6626
Number of pages6
JournalProceedings of the IEEE Conference on Decision and Control
DOIs
StatePublished - Dec 1 2012

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