Robust self-triggered MPC for constrained linear systems

F.D. Brunner, W.P.M.H. Heemels, F. Allgöwer

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

25 Citations (Scopus)

Abstract

In this paper we propose a robust self-triggered model predictive control algorithm for linear systems with additive bounded disturbances and hard constraints on the inputs and state. In self-triggered control, at every sampling instant the time until the next sampling instant is computed online based on the current state of the system. The goal is to achieve a low average sampling rate, thereby minimizing communication in the control system and possibly reducing the number of control updates as is required in sparse control applications. Naturally, and intentionally, our approach leads to long spans of time in which the plant is controlled in an open-loop fashion. Especially for unstable plants or large disturbances this necessitates taking into account the disturbance characteristics in the design of the control law in order to prevent constraint violation in the closed-loop system. We use constraint tightening methods as proposed in Tube Model Predictive Control to guarantee robust constraint satisfaction. The self-triggered controller is shown to stabilize a robust invariant set in the state space for the closed-loop system.

Original languageEnglish
Title of host publicationProceedings of the 2014 European Control Conference (ECC)
Place of PublicationPiscataway
PublisherInstitute of Electrical and Electronics Engineers
Pages472-477
Number of pages6
ISBN (Electronic)978-3-9524269-1-3
DOIs
Publication statusPublished - 22 Jul 2014
Event13th European Control Conference, (ECC 2014) - University of Strasbourg, Strasbourg, France
Duration: 24 Jun 201427 Jun 2014
Conference number: 13
https://www.ieee.org/conferences_events/conferences/conferencedetails/index.html?Conf_ID=33336

Conference

Conference13th European Control Conference, (ECC 2014)
Abbreviated titleECC 2014
CountryFrance
CityStrasbourg
Period24/06/1427/06/14
Other2014 European Control Conference
Internet address

Fingerprint

Linear systems
Model predictive control
Sampling
Closed loop systems
Control systems
Controllers
Communication

Cite this

Brunner, F. D., Heemels, W. P. M. H., & Allgöwer, F. (2014). Robust self-triggered MPC for constrained linear systems. In Proceedings of the 2014 European Control Conference (ECC) (pp. 472-477). [6862397] Piscataway: Institute of Electrical and Electronics Engineers. https://doi.org/10.1109/ECC.2014.6862397
Brunner, F.D. ; Heemels, W.P.M.H. ; Allgöwer, F. / Robust self-triggered MPC for constrained linear systems. Proceedings of the 2014 European Control Conference (ECC). Piscataway : Institute of Electrical and Electronics Engineers, 2014. pp. 472-477
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Brunner, FD, Heemels, WPMH & Allgöwer, F 2014, Robust self-triggered MPC for constrained linear systems. in Proceedings of the 2014 European Control Conference (ECC)., 6862397, Institute of Electrical and Electronics Engineers, Piscataway, pp. 472-477, 13th European Control Conference, (ECC 2014), Strasbourg, France, 24/06/14. https://doi.org/10.1109/ECC.2014.6862397

Robust self-triggered MPC for constrained linear systems. / Brunner, F.D.; Heemels, W.P.M.H.; Allgöwer, F.

Proceedings of the 2014 European Control Conference (ECC). Piscataway : Institute of Electrical and Electronics Engineers, 2014. p. 472-477 6862397.

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

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Brunner FD, Heemels WPMH, Allgöwer F. Robust self-triggered MPC for constrained linear systems. In Proceedings of the 2014 European Control Conference (ECC). Piscataway: Institute of Electrical and Electronics Engineers. 2014. p. 472-477. 6862397 https://doi.org/10.1109/ECC.2014.6862397