Non-fragile observer design for nonlinear switched systems with time delay. (English) Zbl 1183.93080

Summary: The purpose of this paper is to present the non-fragile observer design method for nonlinear switched systems with time delay.
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.
Non-fragile observer design is more effective than the common one and is robust to the observer gain variations.
The proposed non-fragile observer guarantees that the estimated state error dynamics are exponentially convergent for observer gain perturbations.


93C30 Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems)
93B07 Observability
93C10 Nonlinear systems in control theory
15A39 Linear inequalities of matrices


Full Text: DOI


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