Region-free explicit model predictive control for linear systems on Hilbert spaces
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866910527551176704 |
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| author | Kurula, Mikael Humaloja, Jukka-Pekka Dubljevic, Stevan |
| author_facet | Kurula, Mikael Humaloja, Jukka-Pekka Dubljevic, Stevan |
| contents | We extend discrete-time explicit model predictive control (MPC) rigorously to linear distributed parameter systems. After formulating an MPC framework and giving a relevant KKT theorem, we realize fast regionless explicit MPC by using the dual active set method QPKWIK. A Timoshenko beam with input and state constraints is used to demonstrate the efficacy of the design at controlling a continuous-time hyperbolic PDE with constraints, using a discrete-time explicit MPC controller. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2205_02881 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Region-free explicit model predictive control for linear systems on Hilbert spaces Kurula, Mikael Humaloja, Jukka-Pekka Dubljevic, Stevan Optimization and Control Systems and Control We extend discrete-time explicit model predictive control (MPC) rigorously to linear distributed parameter systems. After formulating an MPC framework and giving a relevant KKT theorem, we realize fast regionless explicit MPC by using the dual active set method QPKWIK. A Timoshenko beam with input and state constraints is used to demonstrate the efficacy of the design at controlling a continuous-time hyperbolic PDE with constraints, using a discrete-time explicit MPC controller. |
| title | Region-free explicit model predictive control for linear systems on Hilbert spaces |
| topic | Optimization and Control Systems and Control |
| url | https://arxiv.org/abs/2205.02881 |