A new Takagi-Sugeno-Kang model-based stabilizing explicit MPC formulation: An experimental case study with implementation embedded in a PLC
•A new re-interpretation of explicit MPC solutions via the Takagi-Sugeno-Kang model.•A novel stabilizing MPC formulation with relaxed terminal constraints.•Application of the proposed MPC embedded in a PLC following IEC-61131-3 standard.•Experimental results obtained from a DC motor validate the pro...
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| Published in | Expert systems with applications Vol. 210; p. 118369 |
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| Main Authors | , , , , , , |
| Format | Journal Article |
| Language | English |
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Elsevier Ltd
30.12.2022
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| Abstract | •A new re-interpretation of explicit MPC solutions via the Takagi-Sugeno-Kang model.•A novel stabilizing MPC formulation with relaxed terminal constraints.•Application of the proposed MPC embedded in a PLC following IEC-61131-3 standard.•Experimental results obtained from a DC motor validate the proposed method.
This manuscript presents a new fuzzy approach applied to Model Predictive Control (MPC). We propose to re-interpret the table of IF-THEN rules from an explicit MPC solution as an expert system. The first contribution of this work is a modification in the Takagi-Sugeno-Kang (TSK) structure that allows modeling this table of IF-THEN rules without approximation and maintaining the performance of the explicit MPC solution. The second contribution is a new MPC formulation that guarantees closed-loop system stability by combining a one-layer optimization, a suitable Jordan decomposition-based state-space model, and relaxed terminal constraints. These proposals were implemented in a general-purpose Programmable Logic Controller, following the IEC-61131-3 standard, and applied to control the speed of a physical DC motor. The new modified TSK method and the stabilizing MPC formulation showed low-level computational effort and the desired control performance. The results indicate the potential application in standard automation systems available at industrial process plants. |
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| AbstractList | •A new re-interpretation of explicit MPC solutions via the Takagi-Sugeno-Kang model.•A novel stabilizing MPC formulation with relaxed terminal constraints.•Application of the proposed MPC embedded in a PLC following IEC-61131-3 standard.•Experimental results obtained from a DC motor validate the proposed method.
This manuscript presents a new fuzzy approach applied to Model Predictive Control (MPC). We propose to re-interpret the table of IF-THEN rules from an explicit MPC solution as an expert system. The first contribution of this work is a modification in the Takagi-Sugeno-Kang (TSK) structure that allows modeling this table of IF-THEN rules without approximation and maintaining the performance of the explicit MPC solution. The second contribution is a new MPC formulation that guarantees closed-loop system stability by combining a one-layer optimization, a suitable Jordan decomposition-based state-space model, and relaxed terminal constraints. These proposals were implemented in a general-purpose Programmable Logic Controller, following the IEC-61131-3 standard, and applied to control the speed of a physical DC motor. The new modified TSK method and the stabilizing MPC formulation showed low-level computational effort and the desired control performance. The results indicate the potential application in standard automation systems available at industrial process plants. |
| ArticleNumber | 118369 |
| Author | Schnitman, Leizer Egídio Rodrigues, Alírio Miguel Loureiro, José Mafalda Almeida Peixoto Ribeiro, Ana P. G. Mendes, Teófilo dos Reis Nogueira, Idelfonso Bessa Martins, Márcio A.F. |
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Systems Technology doi: 10.1109/TCST.2014.2382571 contributor: fullname: Cseko – volume: 39 start-page: 945 issue: 5 year: 2003 ident: 10.1016/j.eswa.2022.118369_b0330 article-title: Evaluation of piecewise affine control via binary search tree publication-title: Automatica doi: 10.1016/S0005-1098(02)00308-4 contributor: fullname: Tøndel – volume: 27 start-page: 81 issue: 1 year: 2020 ident: 10.1016/j.eswa.2022.118369_b0320 article-title: A practical review and taxonomy of fuzzy expert systems: Methods and applications publication-title: Benchmarking doi: 10.1108/BIJ-04-2019-0178 contributor: fullname: Tavana – volume: 116 start-page: 61 year: 2016 ident: 10.1016/j.eswa.2022.118369_b0245 article-title: On multi-parametric programming and its applications in process systems engineering publication-title: Chemical Engineering Research and Design doi: 10.1016/j.cherd.2016.09.034 contributor: fullname: Oberdieck – ident: 10.1016/j.eswa.2022.118369_b0205 doi: 10.1002/acs.736 – volume: 38 start-page: 3 issue: 1 year: 2002 ident: 10.1016/j.eswa.2022.118369_b0045 article-title: The explicit linear quadratic regulator for constrained systems publication-title: Automatica doi: 10.1016/S0005-1098(01)00174-1 contributor: fullname: Bemporad |
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| SubjectTerms | Explicit MPC PLC implementation Stabilizing control law Takagi-Sugeno-Kang Model |
| Title | A new Takagi-Sugeno-Kang model-based stabilizing explicit MPC formulation: An experimental case study with implementation embedded in a PLC |
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