Functional Interval Observer for Discrete-Time Switched Descriptor Systems

• 成果类型: Article
• 署名作者: Huang, Jun; Che, Haochi; Raissi, Tarek; Wang, Zhenhua
• 署名单位: Soochow University - China; heSam Universite; Conservatoire National Arts & Metiers (CNAM); Harbin Institute of Technology
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2021.3079193
• 发表日期: 2022
• 页码: 2497-2504
• 关键词: Functional interval observers (FIOs); reachability analysis; switched descriptor systems (SDSs); zonotopes

摘要

This article investigates functional interval observer based estimation methods for discrete-time switched descriptor systems with disturbances. A functional observer is presented using the H-infinity formalism, and then a zonotope-based approach is applied to estimate its boundaries with a reduction of observer design constraints. To avoid the wrapping effect brought by the order reduction operations in the zonotope approach, reachability analysis is combined with the H-infinity technique to design a switched functional interval observer with a better performance. Moreover, the relationship between the existing method, zonotope approach, and reachability analysis method is discussed in detail. The aforementioned methods are applied to an example for comparisons and to show their performance.