Title: Distributed set-membership state estimation based on a zonotope method for linear parameter-varying systems

Authors: Yanfei Zhu; Jiahao Yu; Chuanjiang Li; Ya Gu

Addresses: College of Information, Mechanical and Electrical Engineering, Shanghai Normal University, Shanghai, China; Shanghai Engineering Research Center of Intelligent Education and Bigdata, Shanghai Normal University, Shanghai, China ' College of Information, Mechanical and Electrical Engineering, Shanghai Normal University, Shanghai, China ' College of Information, Mechanical and Electrical Engineering, Shanghai Normal University, Shanghai, China ' College of Information, Mechanical and Electrical Engineering, Shanghai Normal University, Shanghai, China

Abstract: This paper considers the distributed set-membership state estimation (SMSE) issue for linear parameter-varying (LPV) systems with unknown but bounded (UBB) noise and disturbance. A distributed set-membership estimation method employing zonotopes is presented to estimate the true states of the systems. The estimated errors are restricted to a family of zonotopes satisfying the dependent constraint condition. By using the F-radius of the zonotopes minimum theory, the appropriate estimators are designed and the corresponding parameters are computed. Furthermore, a recursive state estimation algorithm is introduced to address this research issue. The persuasiveness of the approach is demonstrated through numerical simulation examples.

Keywords: distributed set-membership estimation; unknown but bounded noise; zonotope-dependent constraint.

DOI: 10.1504/IJMIC.2024.139094

International Journal of Modelling, Identification and Control, 2024 Vol.44 No.4, pp.350 - 359

Received: 14 Jan 2023
Accepted: 06 Mar 2023
Published online: 13 Jun 2024 *

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