Stabilization conditions for model predictive control of constrained PWA systems

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

29 Citations (Scopus)

Abstract

Model Predictive Control (MPC) has recently been applied to several relevant classes of hybrid systems with promising results. These developments generated an increasing interest towards issues such as stability and computational problems that arise in hybrid MPC. Stability aspects have been addressed only marginally. In this paper we present an extension of the terminal cost and constraint set method for guaranteeing stability in MPC to the class of constrained piecewise affine systems. Semidefinite programming is used to calculate the employed terminal weight matrix that ensures stability for quadratic cost based MPC. A procedure for computing a robust positively invariant set for piecewise linear systems is also developed. The implementation of the proposed method is illustrated by an example.

Original languageEnglish
Title of host publication43rd IEEE Conference on Decision and Control (CDC)
Place of PublicationPiscataway
PublisherInstitute of Electrical and Electronics Engineers
Pages4595-4600
Number of pages6
ISBN (Print)0-7803-8682-5
DOIs
Publication statusPublished - 1 Dec 2004
Event43rd IEEE Conference on Decision and Control (CDC 2004) - "Atlantis", Nassau, Bahamas
Duration: 14 Dec 200417 Dec 2004
Conference number: 43
http://cdc2004.ieeecss.org/

Conference

Conference43rd IEEE Conference on Decision and Control (CDC 2004)
Abbreviated titleCDC 2004
CountryBahamas
CityNassau
Period14/12/0417/12/04
Internet address

Fingerprint

Model predictive control
Model Predictive Control
Stabilization
Piecewise Affine Systems
Piecewise Linear Systems
Semidefinite Programming
Costs
Hybrid Model
Invariant Set
Hybrid systems
Hybrid Systems
Linear systems
Calculate
Computing
Class

Keywords

  • Linear matrix inequalities
  • Model predictive control
  • Piecewise affine systems
  • Positively invariant sets
  • Stability

Cite this

Lazar, M., Heemels, W. P. M. H., Weiland, S., & Bemporad, A. (2004). Stabilization conditions for model predictive control of constrained PWA systems. In 43rd IEEE Conference on Decision and Control (CDC) (pp. 4595-4600). Piscataway: Institute of Electrical and Electronics Engineers. https://doi.org/10.1109/CDC.2004.1429508
Lazar, M. ; Heemels, W.P.M.H. ; Weiland, S. ; Bemporad, A. / Stabilization conditions for model predictive control of constrained PWA systems. 43rd IEEE Conference on Decision and Control (CDC). Piscataway : Institute of Electrical and Electronics Engineers, 2004. pp. 4595-4600
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Lazar, M, Heemels, WPMH, Weiland, S & Bemporad, A 2004, Stabilization conditions for model predictive control of constrained PWA systems. in 43rd IEEE Conference on Decision and Control (CDC). Institute of Electrical and Electronics Engineers, Piscataway, pp. 4595-4600, 43rd IEEE Conference on Decision and Control (CDC 2004), Nassau, Bahamas, 14/12/04. https://doi.org/10.1109/CDC.2004.1429508

Stabilization conditions for model predictive control of constrained PWA systems. / Lazar, M.; Heemels, W.P.M.H.; Weiland, S.; Bemporad, A.

43rd IEEE Conference on Decision and Control (CDC). Piscataway : Institute of Electrical and Electronics Engineers, 2004. p. 4595-4600.

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

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Lazar M, Heemels WPMH, Weiland S, Bemporad A. Stabilization conditions for model predictive control of constrained PWA systems. In 43rd IEEE Conference on Decision and Control (CDC). Piscataway: Institute of Electrical and Electronics Engineers. 2004. p. 4595-4600 https://doi.org/10.1109/CDC.2004.1429508