Non‐fragile observer design for nonlinear switched systems with time delay

Abstract

Purpose

The purpose of this paper is to present the non‐fragile observer design method for nonlinear switched systems with time delay.

Design/methodology/approach

Based on dwell time approach and linear matrix inequalities (LMIs) technology, an exponential stability criterion for the delay switched system with Lipschitz nonlinearity is presented. By using the key technical lemma, the observer design problem can be transferred to the problem of solving a set of LMIs. Moreover, non‐fragile observer is designed by the Schur complement lemma, and the result is also transferred to LMIs, which can be easily realized by MATLAB toolbox.

Findings

Non‐fragile observer design is more effective than the common one and is robust to the observer gain variations.

Originality/value

The proposed non‐fragile observer guarantees the estimated state error dynamics can be exponentially convergent for observer gain perturbations.

Citation

Xiang, Z. and Wang, R. (2009), "Non‐fragile observer design for nonlinear switched systems with time delay", International Journal of Intelligent Computing and Cybernetics, Vol. 2 No. 1, pp. 175-189. https://doi.org/10.1108/17563780910939291