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Robust Filtering for 2-D Discrete-Time Switched Systems.
- Source :
-
IEEE Transactions on Automatic Control . Oct2021, Vol. 66 Issue 10, p4747-4760. 14p. - Publication Year :
- 2021
-
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 $\mathcal {H}_{\infty }$ or $\mathcal {H}_{2}$ performance for all admissible uncertain parameters. Finally, a numerical example is presented to illustrate the obtained results. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00189286
- Volume :
- 66
- Issue :
- 10
- Database :
- Academic Search Index
- Journal :
- IEEE Transactions on Automatic Control
- Publication Type :
- Periodical
- Accession number :
- 153732266
- Full Text :
- https://doi.org/10.1109/TAC.2020.3037056