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29.05.2024

Robust Preview Tracking Control of Singular Markovian Jump Systems via a Sliding Mode Strategy

verfasst von: Zufeng Peng, Junchao Ren

Erschienen in: Circuits, Systems, and Signal Processing | Ausgabe 9/2024

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Abstract

In this paper, a novel sliding mode preview control (SMPC) problem with \(H_{\infty }\) performance is investigated for a category of discrete-time singular Markovian jump systems (SMJSs). A novel augmented error system (AES) model is first developed for discrete-time SMJSs based on the analysis of preview information, and the problem of SMPC is reformulated as the stability problem of AES. Secondly, a novel mode-independent sliding surface function is established for AES such that the reachability of sliding mode surfaces (SMS) can always be achievable. Thirdly, sufficient conditions of the \(H_{\infty }\) admissible stability for sliding mode dynamics is derived, based on which a suitable SMPC law is designed to satisfy discrete-time reachability condition. Finally, simulation results have shown that the proposed SMPC law is superior to the control law without previewable information.

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Metadaten
Titel
Robust Preview Tracking Control of Singular Markovian Jump Systems via a Sliding Mode Strategy
verfasst von
Zufeng Peng
Junchao Ren
Publikationsdatum
29.05.2024
Verlag
Springer US
Erschienen in
Circuits, Systems, and Signal Processing / Ausgabe 9/2024
Print ISSN: 0278-081X
Elektronische ISSN: 1531-5878
DOI
https://doi.org/10.1007/s00034-024-02708-z