Explicit Approaches to Constrained Model Predictive Control: A Survey
This paper presents a review of the explicit approaches to constrained model predictive control. The main motivation behind the explicit solution is that it avoids the need for real-time optimization, and thus allows implementation at high sampling frequencies in real-time systems with high reliabil...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Norwegian Society of Automatic Control
2004-07-01
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| Series: | Modeling, Identification and Control |
| Subjects: | |
| Online Access: | http://www.mic-journal.no/PDF/2004/MIC-2004-3-1.pdf |
| _version_ | 1811249276161884160 |
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| author | Alexandra Grancharova Tor A. Johansen |
| author_facet | Alexandra Grancharova Tor A. Johansen |
| author_sort | Alexandra Grancharova |
| collection | DOAJ |
| description | This paper presents a review of the explicit approaches to constrained model predictive control. The main motivation behind the explicit solution is that it avoids the need for real-time optimization, and thus allows implementation at high sampling frequencies in real-time systems with high reliability and low software complexity. The paper is organized as follows. Section 1 includes formulation of the constrained linear quadratic regulation (LQR) problem, summary of the implicit approaches, and the basics of the model predictive control (MPC). Sections 2 and 3 consider respectively the exact and the approximate approaches to explicit solution of constrained MPC problems, together with several examples. |
| first_indexed | 2024-04-12T15:43:36Z |
| format | Article |
| id | doaj.art-b63c7f71c2f342c0b7a76b5891211970 |
| institution | Directory Open Access Journal |
| issn | 0332-7353 1890-1328 |
| language | English |
| last_indexed | 2024-04-12T15:43:36Z |
| publishDate | 2004-07-01 |
| publisher | Norwegian Society of Automatic Control |
| record_format | Article |
| series | Modeling, Identification and Control |
| spelling | doaj.art-b63c7f71c2f342c0b7a76b58912119702022-12-22T03:26:43ZengNorwegian Society of Automatic ControlModeling, Identification and Control0332-73531890-13282004-07-0125313115710.4173/mic.2004.3.1Explicit Approaches to Constrained Model Predictive Control: A SurveyAlexandra GrancharovaTor A. JohansenThis paper presents a review of the explicit approaches to constrained model predictive control. The main motivation behind the explicit solution is that it avoids the need for real-time optimization, and thus allows implementation at high sampling frequencies in real-time systems with high reliability and low software complexity. The paper is organized as follows. Section 1 includes formulation of the constrained linear quadratic regulation (LQR) problem, summary of the implicit approaches, and the basics of the model predictive control (MPC). Sections 2 and 3 consider respectively the exact and the approximate approaches to explicit solution of constrained MPC problems, together with several examples.http://www.mic-journal.no/PDF/2004/MIC-2004-3-1.pdfModel predictive controlconstraintsmulti-parametric quadratic programming |
| spellingShingle | Alexandra Grancharova Tor A. Johansen Explicit Approaches to Constrained Model Predictive Control: A Survey Modeling, Identification and Control Model predictive control constraints multi-parametric quadratic programming |
| title | Explicit Approaches to Constrained Model Predictive Control: A Survey |
| title_full | Explicit Approaches to Constrained Model Predictive Control: A Survey |
| title_fullStr | Explicit Approaches to Constrained Model Predictive Control: A Survey |
| title_full_unstemmed | Explicit Approaches to Constrained Model Predictive Control: A Survey |
| title_short | Explicit Approaches to Constrained Model Predictive Control: A Survey |
| title_sort | explicit approaches to constrained model predictive control a survey |
| topic | Model predictive control constraints multi-parametric quadratic programming |
| url | http://www.mic-journal.no/PDF/2004/MIC-2004-3-1.pdf |
| work_keys_str_mv | AT alexandragrancharova explicitapproachestoconstrainedmodelpredictivecontrolasurvey AT torajohansen explicitapproachestoconstrainedmodelpredictivecontrolasurvey |