A Nonlinear Model Predictive Control with Enlarged Region of Attraction via the Union of Invariant Sets
In the dual-mode model predictive control (MPC) framework, the size of the stabilizable set, which is also the region of attraction, depends on the terminal constraint set. This paper aims to formulate a larger terminal set for enlarging the region of attraction in a nonlinear MPC. Given several con...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-11-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/8/11/2087 |
| _version_ | 1827701683631685632 |
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| author | Ismi Rosyiana Fitri Jung-Su Kim |
| author_facet | Ismi Rosyiana Fitri Jung-Su Kim |
| author_sort | Ismi Rosyiana Fitri |
| collection | DOAJ |
| description | In the dual-mode model predictive control (MPC) framework, the size of the stabilizable set, which is also the region of attraction, depends on the terminal constraint set. This paper aims to formulate a larger terminal set for enlarging the region of attraction in a nonlinear MPC. Given several control laws and their corresponding terminal invariant sets, a convex combination of the given sets is used to construct a time-varying terminal set. The resulting region of attraction is the union of the regions of attraction from each invariant set. Simulation results show that the proposed MPC has a larger stabilizable initial set than the one obtained when a fixed terminal set is used. |
| first_indexed | 2024-03-10T14:39:51Z |
| format | Article |
| id | doaj.art-4f85acb55a364648bbd60cb031795374 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T14:39:51Z |
| publishDate | 2020-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-4f85acb55a364648bbd60cb0317953742023-11-20T21:54:49ZengMDPI AGMathematics2227-73902020-11-01811208710.3390/math8112087A Nonlinear Model Predictive Control with Enlarged Region of Attraction via the Union of Invariant SetsIsmi Rosyiana Fitri0Jung-Su Kim1Department of Electrical and Information Engineering, Seoul National University of Science and Technology, Seoul 01811, KoreaDepartment of Electrical and Information Engineering, Seoul National University of Science and Technology, Seoul 01811, KoreaIn the dual-mode model predictive control (MPC) framework, the size of the stabilizable set, which is also the region of attraction, depends on the terminal constraint set. This paper aims to formulate a larger terminal set for enlarging the region of attraction in a nonlinear MPC. Given several control laws and their corresponding terminal invariant sets, a convex combination of the given sets is used to construct a time-varying terminal set. The resulting region of attraction is the union of the regions of attraction from each invariant set. Simulation results show that the proposed MPC has a larger stabilizable initial set than the one obtained when a fixed terminal set is used.https://www.mdpi.com/2227-7390/8/11/2087interpolation methodMPCnonlinear |
| spellingShingle | Ismi Rosyiana Fitri Jung-Su Kim A Nonlinear Model Predictive Control with Enlarged Region of Attraction via the Union of Invariant Sets Mathematics interpolation method MPC nonlinear |
| title | A Nonlinear Model Predictive Control with Enlarged Region of Attraction via the Union of Invariant Sets |
| title_full | A Nonlinear Model Predictive Control with Enlarged Region of Attraction via the Union of Invariant Sets |
| title_fullStr | A Nonlinear Model Predictive Control with Enlarged Region of Attraction via the Union of Invariant Sets |
| title_full_unstemmed | A Nonlinear Model Predictive Control with Enlarged Region of Attraction via the Union of Invariant Sets |
| title_short | A Nonlinear Model Predictive Control with Enlarged Region of Attraction via the Union of Invariant Sets |
| title_sort | nonlinear model predictive control with enlarged region of attraction via the union of invariant sets |
| topic | interpolation method MPC nonlinear |
| url | https://www.mdpi.com/2227-7390/8/11/2087 |
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