Self-triggered robust model predictive control for nonlinear systems with bounded disturbances

A self-triggered model predictive control (MPC) scheme for continuous-time perturbed nonlinear systems subject to bounded disturbances is investigated in this study. A self-triggered strategy is designed to obtain the inter-execution time before the next trigger using the current sampled state. An o...

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Veröffentlicht in:IET control theory & applications Jg. 13; H. 9; S. 1336 - 1343
Hauptverfasser: Su, Yanxu, Wang, Qingling, Sun, Changyin
Format: Journal Article
Sprache:Englisch
Veröffentlicht: The Institution of Engineering and Technology 11.06.2019
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ISSN:1751-8644, 1751-8652
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Zusammenfassung:A self-triggered model predictive control (MPC) scheme for continuous-time perturbed nonlinear systems subject to bounded disturbances is investigated in this study. A self-triggered strategy is designed to obtain the inter-execution time before the next trigger using the current sampled state. An optimisation problem is addressed to obtain the optimal control trajectory at each triggered instant. The so-called dual-mode approach is used to stabilise the perturbed closed-loop system. Furthermore, sufficient conditions are derived to ensure the feasibility and stability, respectively. It is shown that with a properly designed prediction horizon, the feasibility of the proposed self-triggered MPC algorithm can be guaranteed if the disturbance is bounded in a small enough area. Meanwhile, the stability is proved under the self-triggered condition. Finally, a numerical example is given to illustrate the efficacy of the authors proposed scheme.
ISSN:1751-8644
1751-8652
DOI:10.1049/iet-cta.2018.5459