Observer design for linear systems with external disturbance and intermittent measurements Online publication date: Mon, 20-Jun-2022
by Xu Cai; Xuyang Lou
International Journal of Modelling, Identification and Control (IJMIC), Vol. 39, No. 2, 2021
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.
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