Delay-Range-Dependent Robust Constrained Model Predictive Control for Industrial Processes with Uncertainties and Unknown Disturbances
A delay-range-dependent robust constrained model predictive control is proposed for discrete-time system with uncertainties and unknown disturbances. The dynamic characteristic of the discrete-time system is established as a new extended state space model in which state variables and output tracking...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2019/2152014 |
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| _version_ | 1850177090271313920 |
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| author | Huiyuan Shi Ping Li Limin Wang Chengli Su Jingxian Yu Jiangtao Cao |
| author_facet | Huiyuan Shi Ping Li Limin Wang Chengli Su Jingxian Yu Jiangtao Cao |
| author_sort | Huiyuan Shi |
| collection | DOAJ |
| description | A delay-range-dependent robust constrained model predictive control is proposed for discrete-time system with uncertainties and unknown disturbances. The dynamic characteristic of the discrete-time system is established as a new extended state space model in which state variables and output tracking error are integrated and regulated independently. It is used as the design of control law of system, which cannot only guarantee the convergence and tracking performance but also offer more degrees of freedom for designed controller. Unlike the traditional robust model predictive control (RMPC), the novel, less conservative, and more simplified delay-range-dependent stable conditions are derived by linear matrix inequality (LMI) theory and some relaxed technologies, which make use of the information of the upper and lower bounds of the time-varying delay. Meanwhile, the H∞ performance index is introduced in the RMPC controller design, which can reject any unknown bounded disturbances. As a result, the design controller has better abilities of both tracking and disturbance rejection. The control results on the liquid level of tank system show that the proposed control method is effective and feasible. |
| format | Article |
| id | doaj-art-af7433eaae7e4058927ec8c2b67ef08e |
| institution | OA Journals |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-af7433eaae7e4058927ec8c2b67ef08e2025-08-20T02:19:06ZengWileyComplexity1076-27871099-05262019-01-01201910.1155/2019/21520142152014Delay-Range-Dependent Robust Constrained Model Predictive Control for Industrial Processes with Uncertainties and Unknown DisturbancesHuiyuan Shi0Ping Li1Limin Wang2Chengli Su3Jingxian Yu4Jiangtao Cao5School of Automation, Northwestern Polytechnical University, Xian 710072, ChinaSchool of Automation, Northwestern Polytechnical University, Xian 710072, ChinaSchool of Automation, Northwestern Polytechnical University, Xian 710072, ChinaSchool of Information and Control Engineering, Liaoning Shihua University, Fushun 113001, ChinaSchool of Information and Control Engineering, Liaoning Shihua University, Fushun 113001, ChinaSchool of Information and Control Engineering, Liaoning Shihua University, Fushun 113001, ChinaA delay-range-dependent robust constrained model predictive control is proposed for discrete-time system with uncertainties and unknown disturbances. The dynamic characteristic of the discrete-time system is established as a new extended state space model in which state variables and output tracking error are integrated and regulated independently. It is used as the design of control law of system, which cannot only guarantee the convergence and tracking performance but also offer more degrees of freedom for designed controller. Unlike the traditional robust model predictive control (RMPC), the novel, less conservative, and more simplified delay-range-dependent stable conditions are derived by linear matrix inequality (LMI) theory and some relaxed technologies, which make use of the information of the upper and lower bounds of the time-varying delay. Meanwhile, the H∞ performance index is introduced in the RMPC controller design, which can reject any unknown bounded disturbances. As a result, the design controller has better abilities of both tracking and disturbance rejection. The control results on the liquid level of tank system show that the proposed control method is effective and feasible.http://dx.doi.org/10.1155/2019/2152014 |
| spellingShingle | Huiyuan Shi Ping Li Limin Wang Chengli Su Jingxian Yu Jiangtao Cao Delay-Range-Dependent Robust Constrained Model Predictive Control for Industrial Processes with Uncertainties and Unknown Disturbances Complexity |
| title | Delay-Range-Dependent Robust Constrained Model Predictive Control for Industrial Processes with Uncertainties and Unknown Disturbances |
| title_full | Delay-Range-Dependent Robust Constrained Model Predictive Control for Industrial Processes with Uncertainties and Unknown Disturbances |
| title_fullStr | Delay-Range-Dependent Robust Constrained Model Predictive Control for Industrial Processes with Uncertainties and Unknown Disturbances |
| title_full_unstemmed | Delay-Range-Dependent Robust Constrained Model Predictive Control for Industrial Processes with Uncertainties and Unknown Disturbances |
| title_short | Delay-Range-Dependent Robust Constrained Model Predictive Control for Industrial Processes with Uncertainties and Unknown Disturbances |
| title_sort | delay range dependent robust constrained model predictive control for industrial processes with uncertainties and unknown disturbances |
| url | http://dx.doi.org/10.1155/2019/2152014 |
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