On the design of efficient optimal tube‐based robust model predictive control: Quasi‐H∞ approach
Abstract This paper proposes a tube‐based robust model predictive control (TMPC) scheme with an optimal tube for disturbance‐affected linear systems. In the literature on TMPC, there is no proper methodology to handle the considerable effects of the tube size on the closed‐loop system performance. T...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2023-08-01
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| Series: | IET Control Theory & Applications |
| Subjects: | |
| Online Access: | https://doi.org/10.1049/cth2.12511 |
| _version_ | 1797756476127707136 |
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| author | Ashkan Sebghati Mahyar Madani Esfahani Saeed Shamaghdari |
| author_facet | Ashkan Sebghati Mahyar Madani Esfahani Saeed Shamaghdari |
| author_sort | Ashkan Sebghati |
| collection | DOAJ |
| description | Abstract This paper proposes a tube‐based robust model predictive control (TMPC) scheme with an optimal tube for disturbance‐affected linear systems. In the literature on TMPC, there is no proper methodology to handle the considerable effects of the tube size on the closed‐loop system performance. There is usually a trade‐off between the disturbance rejection level and the amount of control effort available for the MPC problem. In some applications, it is nearly impossible to find a feasible TMPC to have a sufficient amount of states and inputs feasible sets for the MPC optimization problem. It would be a vital contribution to the TMPC designs if an algorithm is demonstrated which can investigate the suitability of TMPC for a specific system. This paper provides a solution for the mentioned challenges by introducing the concept of Quasi‐H∞ criterion and proposing a constrained optimization problem. The optimization problem is then reformulated and simplified to present an efficient methodology for the TMPC designers. The proposed TMPC scheme could benefit from a larger terminal region and result in a larger region of attraction. The achievements in TMPC designs are shown by simulations and comparisons with the previously used techniquesover numerical case studies. |
| first_indexed | 2024-03-12T18:01:59Z |
| format | Article |
| id | doaj.art-fc957d7478bd460b99a5ad3ceda66871 |
| institution | Directory Open Access Journal |
| issn | 1751-8644 1751-8652 |
| language | English |
| last_indexed | 2024-03-12T18:01:59Z |
| publishDate | 2023-08-01 |
| publisher | Wiley |
| record_format | Article |
| series | IET Control Theory & Applications |
| spelling | doaj.art-fc957d7478bd460b99a5ad3ceda668712023-08-02T09:59:50ZengWileyIET Control Theory & Applications1751-86441751-86522023-08-0117121703171910.1049/cth2.12511On the design of efficient optimal tube‐based robust model predictive control: Quasi‐H∞ approachAshkan Sebghati0Mahyar Madani Esfahani1Saeed Shamaghdari2Dynamical Systems Laboratory, School of Electrical Engineering Iran University of Science and Technology TehranIranDynamical Systems Laboratory, School of Electrical Engineering Iran University of Science and Technology TehranIranDynamical Systems Laboratory, School of Electrical Engineering Iran University of Science and Technology TehranIranAbstract This paper proposes a tube‐based robust model predictive control (TMPC) scheme with an optimal tube for disturbance‐affected linear systems. In the literature on TMPC, there is no proper methodology to handle the considerable effects of the tube size on the closed‐loop system performance. There is usually a trade‐off between the disturbance rejection level and the amount of control effort available for the MPC problem. In some applications, it is nearly impossible to find a feasible TMPC to have a sufficient amount of states and inputs feasible sets for the MPC optimization problem. It would be a vital contribution to the TMPC designs if an algorithm is demonstrated which can investigate the suitability of TMPC for a specific system. This paper provides a solution for the mentioned challenges by introducing the concept of Quasi‐H∞ criterion and proposing a constrained optimization problem. The optimization problem is then reformulated and simplified to present an efficient methodology for the TMPC designers. The proposed TMPC scheme could benefit from a larger terminal region and result in a larger region of attraction. The achievements in TMPC designs are shown by simulations and comparisons with the previously used techniquesover numerical case studies.https://doi.org/10.1049/cth2.12511control system synthesisH∞ controloptimal controlpredictive control |
| spellingShingle | Ashkan Sebghati Mahyar Madani Esfahani Saeed Shamaghdari On the design of efficient optimal tube‐based robust model predictive control: Quasi‐H∞ approach IET Control Theory & Applications control system synthesis H∞ control optimal control predictive control |
| title | On the design of efficient optimal tube‐based robust model predictive control: Quasi‐H∞ approach |
| title_full | On the design of efficient optimal tube‐based robust model predictive control: Quasi‐H∞ approach |
| title_fullStr | On the design of efficient optimal tube‐based robust model predictive control: Quasi‐H∞ approach |
| title_full_unstemmed | On the design of efficient optimal tube‐based robust model predictive control: Quasi‐H∞ approach |
| title_short | On the design of efficient optimal tube‐based robust model predictive control: Quasi‐H∞ approach |
| title_sort | on the design of efficient optimal tube based robust model predictive control quasi h∞ approach |
| topic | control system synthesis H∞ control optimal control predictive control |
| url | https://doi.org/10.1049/cth2.12511 |
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