Set-Based State Estimation For Discrete-Time Semi-Markov Jump Linear Systems Using Zonotopes

• 成果类型: Article
• 署名作者: Guan, Chaoxu; Li, You; Fei, Zhongyang; Zhao, Xudong; Zong, Guangdeng
• 署名单位: Jiaxing University; Dalian University of Technology; Dalian University of Technology; Tiangong University; Weifang University
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2026.3680123
• 发表日期: 2026
• 关键词: Observers; DESIGN; faults

摘要

This article is dedicated to the set-based state estimation problem of discrete-time semi-Markov jump linear systems via using zonotopes. By performing a consistency test regarding the system plant and measurement outputs, an intersected zonotope is established on the basis of a correction matrix. With the discrete-time semi-Markov kernel and P-radius concepts, the boundedness and L-infinity performance analysis are addressed for the underlying systems under the influence of unknown-but-bounded uncertainties. Subsequently, the numerically testable conditions are developed to obtain the optimal correction matrices. Then, a zonotope-based outer approximation can be derived for the accurate state set. Finally, a case study on a vertical take-off and landing helicopter as well as a numerical example is considered to show the usefulness of the proposed results.