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Finite-time output feedback control for discrete-time semi-Markov jump systems with mismatched modes.
- Source :
- International Journal of Systems Science; Apr2024, Vol. 55 Issue 5, p941-953, 13p
- Publication Year :
- 2024
-
Abstract
- This paper addresses the $ H_{\infty } $ H ∞ static output feedback control of discrete-time semi-Markov jump systems (S-MJSs) with mismatched modes in finite-time horizon. Different from the existing relevant work, transient dynamics in short-time is focused instead of the Lyapunov stability over infinite-time horizon. Considering the immeasurable system states, output control strategy is developed subject to mismatched modes. Firstly, S-MJSs in closed-loop form are established by designing a hidden mode-dependent output feedback controller. Based on the closed-loop system (CLS), new Lyapunov function relies on both system mode and elapsed-time are created, according to which fresh analysis criteria ensuring FTB and $ H_{\infty } $ H ∞ FTB are derived. To circumvent the non-convex difficulty arising in controller design, a separation technique is introduced such that the design prerequisites are obtained from the above performance analysis conditions. Finally, the boost converter circuit and a numerical example are borrowed to test the effectiveness of the proposed results. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00207721
- Volume :
- 55
- Issue :
- 5
- Database :
- Complementary Index
- Journal :
- International Journal of Systems Science
- Publication Type :
- Academic Journal
- Accession number :
- 175497156
- Full Text :
- https://doi.org/10.1080/00207721.2023.2301039