Robust Filtering for 2-D Discrete-Time Switched Systems

• 成果类型: Article
• 署名作者: Ren, Wei; Xiong, Junlin
• 署名单位: Chinese Academy of Sciences; University of Science & Technology of China, CAS
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2020.3037056
• 发表日期: 2021
• 页码: 4747-4760
• 关键词: 2-D switched systems; Average dwell-time (ADT); convex uncertainties; parameter-dependent multiple Lyapunov functions; robust filtering

摘要

In this article, we study the robust filtering problem for 2-D switched systems with convex-bounded uncertainties. The studied switched system is formulated by Fornasini-Marchesini local state-space model, and system matrices depend affinely on convex-bounded uncertain parameters. We first derive synthesis results for 2-D switched systems, which extends the existing results and lays a foundation for the robust filter design. To design the robust filter, we transform the 2-D switched system into an equivalent difference-algebraic representation form. Using the equivalent representation and the parameter-dependent Lyapunov function approach, sufficient conditions are established for system stability, and 2-D stationary discrete-time linear filters are designed to ensure the prescribed H-infinity or H-2 performance for all admissible uncertain parameters. Finally, a numerical example is presented to illustrate the obtained results.