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Robust Preview Tracking Control of Singular Markovian Jump Systems via a Sliding Mode Strategy
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Robust Preview Tracking Control of Singular Markovian Jump Systems via a Sliding Mode Strategy
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Journal Article
Robust Preview Tracking Control of Singular Markovian Jump Systems via a Sliding Mode Strategy
2024
Overview
In this paper, a novel sliding mode preview control (SMPC) problem with
H
∞
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
∞
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.
Publisher
Springer US,Springer Nature B.V
