A new approach to observer design for a class of switched nonlinear systems

Zheng Rong Xiang, Wei Ming Xiang

Research output: Contribution to journalArticle

Abstract

To design state observer for the switched systems with Lipschitz nonlinearity and time-dependent switching law, the dwell time approach is adopted. The switched system under consideration is composed of both observable and unobservable subsystems. By constructing appropriate Lyapunov functions and using matrix inequality techniques, some conditions of the convergence of the estimated state error for the state observer are obtained, and the design procedure of the observer is presented. Furthermore, by matrix transformation techniques, the solution to the corresponding observer gain is formulated in the form of a set of linear matrix inequalities (LMIs). Finally, a simulation example is given to demonstrate the effectiveness of the proposed approach.

Original languageEnglish (US)
Pages (from-to)416-419
Number of pages4
JournalXi Tong Gong Cheng Yu Dian Zi Ji Shu/Systems Engineering and Electronics
Volume31
Issue number2
StatePublished - Feb 1 2009
Externally publishedYes

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Nonlinear systems
Lyapunov functions
Linear matrix inequalities

Keywords

  • LMI
  • Nonlinear systems
  • Observer
  • Switched systems
  • Switching sequence

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering

Cite this

A new approach to observer design for a class of switched nonlinear systems. / Xiang, Zheng Rong; Xiang, Wei Ming.

In: Xi Tong Gong Cheng Yu Dian Zi Ji Shu/Systems Engineering and Electronics, Vol. 31, No. 2, 01.02.2009, p. 416-419.

Research output: Contribution to journalArticle

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