Robust self-triggered min–max model predictive control for discrete-time nonlinear systems
In this paper, we propose a robust self-triggered model predictive control (MPC) algorithm for constrained discrete-time nonlinear systems subject to parametric uncertainties and disturbances. To fulfill robust constraint satisfaction, we take advantage of the min–max MPC framework to consider the w...
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| Published in: | Automatica (Oxford) Vol. 89; pp. 333 - 339 |
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| Main Authors: | , , , |
| Format: | Journal Article |
| Language: | English |
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Elsevier Ltd
01.03.2018
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| Subjects: | |
| ISSN: | 0005-1098 |
| Online Access: | Get full text |
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| Abstract | In this paper, we propose a robust self-triggered model predictive control (MPC) algorithm for constrained discrete-time nonlinear systems subject to parametric uncertainties and disturbances. To fulfill robust constraint satisfaction, we take advantage of the min–max MPC framework to consider the worst case of all possible uncertainty realizations. In this framework, a novel cost function is designed based on which a self-triggered strategy is introduced via optimization. The conditions on ensuring algorithm feasibility and closed-loop stability are developed. In particular, we show that the closed-loop system is input-to-state practical stable (ISpS) in the attraction region at triggering time instants. In addition, we show that the main feasibility and stability conditions reduce to a linear matrix inequality for linear case. Finally, numerical simulations and comparison studies are performed to verify the proposed control strategy. |
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| AbstractList | In this paper, we propose a robust self-triggered model predictive control (MPC) algorithm for constrained discrete-time nonlinear systems subject to parametric uncertainties and disturbances. To fulfill robust constraint satisfaction, we take advantage of the min–max MPC framework to consider the worst case of all possible uncertainty realizations. In this framework, a novel cost function is designed based on which a self-triggered strategy is introduced via optimization. The conditions on ensuring algorithm feasibility and closed-loop stability are developed. In particular, we show that the closed-loop system is input-to-state practical stable (ISpS) in the attraction region at triggering time instants. In addition, we show that the main feasibility and stability conditions reduce to a linear matrix inequality for linear case. Finally, numerical simulations and comparison studies are performed to verify the proposed control strategy. |
| Author | Xu, Demin Liu, Changxin Li, Huiping Gao, Jian |
| Author_xml | – sequence: 1 givenname: Changxin surname: Liu fullname: Liu, Changxin email: liuchangxin@mail.nwpu.edu.cn – sequence: 2 givenname: Huiping surname: Li fullname: Li, Huiping email: lihuiping@nwpu.edu.cn – sequence: 3 givenname: Jian surname: Gao fullname: Gao, Jian email: jiangao@nwpu.edu.cn – sequence: 4 givenname: Demin surname: Xu fullname: Xu, Demin email: xudm@nwpu.edu.cn |
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| Keywords | Robust control Self-triggered control Min–max model predictive control Nonlinear systems |
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| SubjectTerms | Min–max model predictive control Nonlinear systems Robust control Self-triggered control |
| Title | Robust self-triggered min–max model predictive control for discrete-time nonlinear systems |
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