MPC for LPV systems using perturbation on control input strategy
In this paper, a model predictive control (MPC) algorithm for linear parameter varying (LPV) systems is proposed. The proposed algorithm consists of two steps. The first step is derived by using parameter-dependent Lyapunov function and the second step is derived by using the perturbation on control...
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Published in | Computer Aided Chemical Engineering Vol. 31; pp. 350 - 354 |
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Main Authors | , |
Format | Book Chapter |
Language | English |
Published |
2012
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Subjects | |
Online Access | Get full text |
ISBN | 9780444595058 0444595058 |
ISSN | 1570-7946 |
DOI | 10.1016/B978-0-444-59507-2.50062-7 |
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Abstract | In this paper, a model predictive control (MPC) algorithm for linear parameter varying (LPV) systems is proposed. The proposed algorithm consists of two steps. The first step is derived by using parameter-dependent Lyapunov function and the second step is derived by using the perturbation on control input strategy. An overall algorithm is proved to guarantee robust stability. The controller design is illustrated with a case study of continuous stirred-tank reactor. Comparisons with other MPC algorithms for LPV systems have been undertaken. The results show that the proposed algorithm can achieve better control performance. |
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AbstractList | In this paper, a model predictive control (MPC) algorithm for linear parameter varying (LPV) systems is proposed. The proposed algorithm consists of two steps. The first step is derived by using parameter-dependent Lyapunov function and the second step is derived by using the perturbation on control input strategy. An overall algorithm is proved to guarantee robust stability. The controller design is illustrated with a case study of continuous stirred-tank reactor. Comparisons with other MPC algorithms for LPV systems have been undertaken. The results show that the proposed algorithm can achieve better control performance. |
Author | Kheawhom, Soorathep Bumroongsri, Pornchai |
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Copyright | 2012 Elsevier B.V. |
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Keywords | perturbation on control input strategy continuous stirred-tank reactor MPC LPV parameter-dependent Lyapunov function |
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References | Löfberg (bb0055) 2004 Wada, Saito, Saeki (bb0065) 2006; 53 Ding, Huang (bb0045) 2007; 52 Casavola, Famularo, Franze (bb0040) 2002; 47 Lu, Arkun (bb0060) 2000; 36 Kothare, Balakrishnan, Morari (bb0050) 1996; 32 |
References_xml | – volume: 53 start-page: 1446 year: 2006 end-page: 1450 ident: bb0065 article-title: Model predictive control for linear parameter varying systems using parameter dependent lyapunov function publication-title: IEEE T. Circuits Syst. – volume: 52 start-page: 970 year: 2007 ident: bb0045 article-title: Comments on A feedback min-max MPC algorithm for LPV systems subject to bounded rates of change of parameters publication-title: IEEE T. Automat. Contr – start-page: 284 year: 2004 end-page: 289 ident: bb0055 publication-title: YALMIP : A toolbox for modelling and optimization in MATLAB – volume: 47 start-page: 1147 year: 2002 end-page: 1152 ident: bb0040 article-title: A feedback min-max MPC algorithm for LPV systems subject to bounded rates of change of parameters publication-title: IEEE T. Automat. Contr. – volume: 32 start-page: 1361 year: 1996 end-page: 1379 ident: bb0050 article-title: Robust constrained model predictive control using linear matrix inequalities publication-title: Automatica – volume: 36 start-page: 527 year: 2000 end-page: 540 ident: bb0060 article-title: Quasi-min-max MPC algorithms for LPV systems publication-title: Automatica |
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Snippet | In this paper, a model predictive control (MPC) algorithm for linear parameter varying (LPV) systems is proposed. The proposed algorithm consists of two steps.... |
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SubjectTerms | continuous stirred-tank reactor LPV MPC parameter-dependent Lyapunov function perturbation on control input strategy |
Title | MPC for LPV systems using perturbation on control input strategy |
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