Title: Non-fragile observer for switched non-linear systems with time delay under asynchronous switching

Authors: Zhengrong Xiang, Ronghao Wang

Addresses: School of Automation, Nanjing University of Science and Technology, Nanjing, 210094, China. ' Engineering Institute of Engineering Corps, PLA University of Science and Technology, Nanjing, 210007, China

Abstract: This paper investigates the observer design for non-linear switched systems with time delay under asynchronous switching. Firstly, when the switching instants between the observer and the system are asynchronous, the state observer for switched linear systems with time delay is developed; the proposed observer can guarantee exponentially convergence of the estimated state error. Then, the proposed approach is extended to design observer for switched systems with time delay and Lipschitz non-linearities under asynchronous switching. Furthermore, the problem of non-fragile observer design for switched non-linear systems with time delay under asynchronous switching is investigated. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.

Keywords: observer design; time delay; exponentially stability; switched nonlinear systems; asynchronous switching.

DOI: 10.1504/IJMIC.2011.042343

International Journal of Modelling, Identification and Control, 2011 Vol.14 No.1/2, pp.93 - 101

Published online: 21 Mar 2015 *

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