Finite-time higher-order moment state estimation for Markov jump linear system with time-correlated measurement noise. (June 2021)

• Record Type: Journal Article
• Authors: Zhou, Ziheng; Luan, Xiaoli; Liu, Fei
• Is Part Of: Transactions of the Institute of Measurement and Control. Volume 43:Number 9(2021)
• Page Start: 2103
• Page End: 2110
• Publication Date: 2021-06
• Subjects: Markov jump linear system -- state estimation -- time-correlated measurement noise -- cumulant generating function; Automatic control -- Periodicals; Measuring instruments -- Periodicals; Commande automatique -- Périodiques; Mesure -- Instruments -- Périodiques; 681.2
• DOI: 10.1177/0142331221990126
• Languages: English
• ISSNs: 0142-3312

Abstract

In the present study, a higher-order moment state estimation problem in a finite time interval for the discrete-time Markov jump linear systems (MJLS) is investigated. Moreover, time-correlated noise in measurements is considered. Initially, the measruement differencing approach is applied to convert the time-correlated measurement noise to an uncorrelated noise. Then the cumulant generating function is utilized to solve the stochastic jumping problem of MJLS, by which the discrete-time MJLS is transformed into a deterministic system. In this way, the transformed deterministic system has the same norm with a higher-order moment of the original state. Finally, a finite-time state estimation algorithm is proposed to guarantee that the higher-order moment of error trajectory remains within a pre-specified bound over a given time interval. In order to evaluate the performance of the proposed method, some test cases are applied. Obtained results prove the accuracy and efficiency of the proposed method.