2D Terminal Constrained Model Predictive Iterative Learning Control of Batch Processes With Time Delay
In this paper, a 2D terminal constrained model predictive iterative learning control method of batch processes with time delay is proposed to deal with time delay, input and output constraints, and disturbances in batch processes. Firstly, an iterative learning control law is designed for the given...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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IEEE
2019-01-01
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| Series: | IEEE Access |
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| Online Access: | https://ieeexplore.ieee.org/document/8824090/ |
| _version_ | 1818665607125532672 |
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| author | Qiyuan Zhang Jingxian Yu Limin Wang |
| author_facet | Qiyuan Zhang Jingxian Yu Limin Wang |
| author_sort | Qiyuan Zhang |
| collection | DOAJ |
| description | In this paper, a 2D terminal constrained model predictive iterative learning control method of batch processes with time delay is proposed to deal with time delay, input and output constraints, and disturbances in batch processes. Firstly, an iterative learning control law is designed for the given batch process; then the state error and output tracking error are introduced, and the original state-space model is converted to an equivalent 2D-FM model. In the meantime, an optimal performance index with terminal constraints is introduced, and an update law is designed to minimize the objective function under input and output constraints. The robust constraint set is adopted that the system state is converged to this set round the desired point. Then, based on the designed optimal performance index and Lyapunov stability theory, the MPC problem is transformed into a linear matrix inequality problem and a sufficient condition is given to ensure the robust asymptotically stability of the closed-loop system. Finally, the validity of the proposed method is proved by the simulation on a stirred tank. |
| first_indexed | 2024-12-17T05:51:19Z |
| format | Article |
| id | doaj.art-6c43263505c843458d3c23a8a1aac5dc |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-12-17T05:51:19Z |
| publishDate | 2019-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-6c43263505c843458d3c23a8a1aac5dc2022-12-21T22:01:08ZengIEEEIEEE Access2169-35362019-01-01712684212685610.1109/ACCESS.2019.293942888240902D Terminal Constrained Model Predictive Iterative Learning Control of Batch Processes With Time DelayQiyuan Zhang0Jingxian Yu1https://orcid.org/0000-0002-2383-1128Limin Wang2https://orcid.org/0000-0002-0472-3383School of Information and Control, Liaoning Shihua University, Fushun, ChinaSchool of Science, Liaoning Shihua University, Fushun, ChinaSchool of Information and Control, Liaoning Shihua University, Fushun, ChinaIn this paper, a 2D terminal constrained model predictive iterative learning control method of batch processes with time delay is proposed to deal with time delay, input and output constraints, and disturbances in batch processes. Firstly, an iterative learning control law is designed for the given batch process; then the state error and output tracking error are introduced, and the original state-space model is converted to an equivalent 2D-FM model. In the meantime, an optimal performance index with terminal constraints is introduced, and an update law is designed to minimize the objective function under input and output constraints. The robust constraint set is adopted that the system state is converged to this set round the desired point. Then, based on the designed optimal performance index and Lyapunov stability theory, the MPC problem is transformed into a linear matrix inequality problem and a sufficient condition is given to ensure the robust asymptotically stability of the closed-loop system. Finally, the validity of the proposed method is proved by the simulation on a stirred tank.https://ieeexplore.ieee.org/document/8824090/Batch processestime delayterminal constraints2D terminal constrained model predictive iterative learning control |
| spellingShingle | Qiyuan Zhang Jingxian Yu Limin Wang 2D Terminal Constrained Model Predictive Iterative Learning Control of Batch Processes With Time Delay IEEE Access Batch processes time delay terminal constraints 2D terminal constrained model predictive iterative learning control |
| title | 2D Terminal Constrained Model Predictive Iterative Learning Control of Batch Processes With Time Delay |
| title_full | 2D Terminal Constrained Model Predictive Iterative Learning Control of Batch Processes With Time Delay |
| title_fullStr | 2D Terminal Constrained Model Predictive Iterative Learning Control of Batch Processes With Time Delay |
| title_full_unstemmed | 2D Terminal Constrained Model Predictive Iterative Learning Control of Batch Processes With Time Delay |
| title_short | 2D Terminal Constrained Model Predictive Iterative Learning Control of Batch Processes With Time Delay |
| title_sort | 2d terminal constrained model predictive iterative learning control of batch processes with time delay |
| topic | Batch processes time delay terminal constraints 2D terminal constrained model predictive iterative learning control |
| url | https://ieeexplore.ieee.org/document/8824090/ |
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