Title: Observer design for linear systems with external disturbance and intermittent measurements

Authors: Xu Cai; Xuyang Lou

Addresses: Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), Jiangnan University, Wuxi, China ' Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), Jiangnan University, Wuxi, China

Abstract: This paper deals with the state estimation of linear systems with external disturbance for which measurements of the output are available intermittently. An observer with triggered jumps is designed within a hybrid systems framework. By employing the stability results in hybrid systems, the global uniform asymptotic stability of a closed set related to the estimation errors, which contains all coincident points of the system state and its estimated value, is achieved. Based on the Finsler lemma, conditions for the global uniform asymptotic stability of the estimation errors are established in the form of linear matrix inequalities. Finally, numerical simulations including a damped mass-spring system and a DC motor system are provided to illustrate the results.

Keywords: observer; hybrid systems; external disturbance; intermittent measurement.

DOI: 10.1504/IJMIC.2021.123433

International Journal of Modelling, Identification and Control, 2021 Vol.39 No.2, pp.120 - 127

Received: 21 Apr 2021
Accepted: 14 Jun 2021
Published online: 20 Jun 2022 *

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