Robust Filtering for 2-D Discrete-Time Switched Systems
(2021) IEEE Transactions on Automatic Control — Vol. 66, n° 10, p. 4747-4760 (2021)
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- Authors
Ren, Wei 
Xiong, Junlin
- Abstract
- 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∞ or H2 performance for all admissible uncertain parameters. Finally, a numerical example is presented to illustrate the obtained results.
- Affiliations
Citations
Ren, W., & Xiong, J. (2021). Robust Filtering for 2-D Discrete-Time Switched Systems. IEEE Transactions on Automatic Control, 66(10), 4747-4760. https://doi.org/10.1109/tac.2020.3037056 (Original work published 2021)