Robust Predictive Fault-Tolerant Control for Multi-Phase Batch Processes With Interval Time-Varying Delay
In view of multi-phase batch processes with interval time-varying delay, uncertainties, unknown disturbances, partial actuator failures and input and output constrains in real-world industrial production, a robust predictive fault-tolerant control (RPFTC) method is proposed in this paper. First, a m...
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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/8832121/ |
| _version_ | 1818949178885144576 |
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| author | Huiyuan Shi Ping Li Chengli Su |
| author_facet | Huiyuan Shi Ping Li Chengli Su |
| author_sort | Huiyuan Shi |
| collection | DOAJ |
| description | In view of multi-phase batch processes with interval time-varying delay, uncertainties, unknown disturbances, partial actuator failures and input and output constrains in real-world industrial production, a robust predictive fault-tolerant control (RPFTC) method is proposed in this paper. First, a multi-phase batch process considering the above process dynamics is described by a switching model that consists of different dimensional sub-systems. Then the switching model is transformed into the extended switching state space model by the introduction of output tracking error. On basis of this extended model, a robust predictive fault-tolerant control law is designed to improve the control performance and to obtain more degrees of freedom of the adjustment for the controller. Second, by the utilization of Lyapunov function theory, switching system theory and average dwell time approach, the sufficient conditions in terms of linear matrix inequality (LMI) constraints and minimum running time at each phase are given to make the corresponding discrete-time switching closed-loop system robustly exponential stable and the running time of each phase shortest. At the same time, the optimal cost function and H-infinity performance index are considered in the derivation of stable conditions, which can obtain the optimized control performance and suppress the unknown disturbances. Finally, the gain of the control law and the minimum running time of each phase are calculated by solving these LMIs. Taking the injection molding process as a simulation object, the control results verify the effectiveness and feasibility of the proposal. |
| first_indexed | 2024-12-20T08:58:34Z |
| format | Article |
| id | doaj.art-da294528e995482d827be6ddd31baa2a |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-12-20T08:58:34Z |
| publishDate | 2019-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-da294528e995482d827be6ddd31baa2a2022-12-21T19:45:56ZengIEEEIEEE Access2169-35362019-01-01713114813116210.1109/ACCESS.2019.29402758832121Robust Predictive Fault-Tolerant Control for Multi-Phase Batch Processes With Interval Time-Varying DelayHuiyuan Shi0https://orcid.org/0000-0002-3097-0732Ping Li1Chengli Su2School of Automation, Northwestern Polytechnical University, Xi’an, ChinaSchool of Automation, Northwestern Polytechnical University, Xi’an, ChinaSchool of Information and Control Engineering, Liaoning Shihua University, Fushun, ChinaIn view of multi-phase batch processes with interval time-varying delay, uncertainties, unknown disturbances, partial actuator failures and input and output constrains in real-world industrial production, a robust predictive fault-tolerant control (RPFTC) method is proposed in this paper. First, a multi-phase batch process considering the above process dynamics is described by a switching model that consists of different dimensional sub-systems. Then the switching model is transformed into the extended switching state space model by the introduction of output tracking error. On basis of this extended model, a robust predictive fault-tolerant control law is designed to improve the control performance and to obtain more degrees of freedom of the adjustment for the controller. Second, by the utilization of Lyapunov function theory, switching system theory and average dwell time approach, the sufficient conditions in terms of linear matrix inequality (LMI) constraints and minimum running time at each phase are given to make the corresponding discrete-time switching closed-loop system robustly exponential stable and the running time of each phase shortest. At the same time, the optimal cost function and H-infinity performance index are considered in the derivation of stable conditions, which can obtain the optimized control performance and suppress the unknown disturbances. Finally, the gain of the control law and the minimum running time of each phase are calculated by solving these LMIs. Taking the injection molding process as a simulation object, the control results verify the effectiveness and feasibility of the proposal.https://ieeexplore.ieee.org/document/8832121/Multi-phase batch processestime-varying delaysactuator failurespredictive fault-tolerant controlaverage dwell time |
| spellingShingle | Huiyuan Shi Ping Li Chengli Su Robust Predictive Fault-Tolerant Control for Multi-Phase Batch Processes With Interval Time-Varying Delay IEEE Access Multi-phase batch processes time-varying delays actuator failures predictive fault-tolerant control average dwell time |
| title | Robust Predictive Fault-Tolerant Control for Multi-Phase Batch Processes With Interval Time-Varying Delay |
| title_full | Robust Predictive Fault-Tolerant Control for Multi-Phase Batch Processes With Interval Time-Varying Delay |
| title_fullStr | Robust Predictive Fault-Tolerant Control for Multi-Phase Batch Processes With Interval Time-Varying Delay |
| title_full_unstemmed | Robust Predictive Fault-Tolerant Control for Multi-Phase Batch Processes With Interval Time-Varying Delay |
| title_short | Robust Predictive Fault-Tolerant Control for Multi-Phase Batch Processes With Interval Time-Varying Delay |
| title_sort | robust predictive fault tolerant control for multi phase batch processes with interval time varying delay |
| topic | Multi-phase batch processes time-varying delays actuator failures predictive fault-tolerant control average dwell time |
| url | https://ieeexplore.ieee.org/document/8832121/ |
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