Journal
EXPERT SYSTEMS WITH APPLICATIONS
Volume 210, Issue -, Pages -Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.eswa.2022.118369
Keywords
Explicit MPC; Takagi-Sugeno-Kang Model; Stabilizing control law; PLC implementation
Categories
Funding
- LSRE-LCM - national funds through FCT/MCTES (PIDDAC) [Base-UIDB/50020/2020, Programmatic-UIDP/50020/2020]
- FCT - Fundacao para a Ciencia e Tecnologia under CEEC Institucional program
- Federal University of Reconcavo da Bahia
- CAPES
- Brazilian Federal Agency for Post-graduate Education
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This manuscript presents a new fuzzy approach applied to Model Predictive Control (MPC). The first contribution of this work is a modification in the Takagi-Sugeno-Kang (TSK) structure that allows modeling IF-THEN rules without approximation. The second contribution is a new MPC formulation that guarantees system stability by combining optimization, state-space model, and terminal constraints. These methods were implemented on a Programmable Logic Controller and applied to control a physical DC motor.
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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