Analytical Multiloop Control for Multivariable Systems with Time Delays
In this paper, a new design method with performance improvements of multiloop controllers for multivariable systems is proposed. Precise expression is developed to show the relationship between the dynamic- and steady-state characteristics of the multiloop control system and its parameters. First, a...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2020/8849483 |
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| _version_ | 1849407104225378304 |
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| author | Zhiguo Wang Peng Wei |
| author_facet | Zhiguo Wang Peng Wei |
| author_sort | Zhiguo Wang |
| collection | DOAJ |
| description | In this paper, a new design method with performance improvements of multiloop controllers for multivariable systems is proposed. Precise expression is developed to show the relationship between the dynamic- and steady-state characteristics of the multiloop control system and its parameters. First, an equivalent transfer function (ETF) is introduced to decompose the multivariable system, based on which the multiloop controller parameters are calculated. According to the ETF matrix property, an analytical expression for the PI controller for multivariable systems is derived in terms of substituting the ETF matrix for the inverse open-loop transfer function. In the proposed controller design method, no approximation of the inverse of the process model is needed, implying that this method can be applied to some multivariable systems with high dimensions. The simulation results obtained from several examples demonstrate the effectiveness of the proposed method. |
| format | Article |
| id | doaj-art-459227c2fb6441fcb5df4faf9fc2bb9f |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-459227c2fb6441fcb5df4faf9fc2bb9f2025-08-20T03:36:11ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/88494838849483Analytical Multiloop Control for Multivariable Systems with Time DelaysZhiguo Wang0Peng Wei1Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), Institute of Automation, Jiangnan University, Wuxi 214122, ChinaKey Laboratory of Advanced Process Control for Light Industry (Ministry of Education), Institute of Automation, Jiangnan University, Wuxi 214122, ChinaIn this paper, a new design method with performance improvements of multiloop controllers for multivariable systems is proposed. Precise expression is developed to show the relationship between the dynamic- and steady-state characteristics of the multiloop control system and its parameters. First, an equivalent transfer function (ETF) is introduced to decompose the multivariable system, based on which the multiloop controller parameters are calculated. According to the ETF matrix property, an analytical expression for the PI controller for multivariable systems is derived in terms of substituting the ETF matrix for the inverse open-loop transfer function. In the proposed controller design method, no approximation of the inverse of the process model is needed, implying that this method can be applied to some multivariable systems with high dimensions. The simulation results obtained from several examples demonstrate the effectiveness of the proposed method.http://dx.doi.org/10.1155/2020/8849483 |
| spellingShingle | Zhiguo Wang Peng Wei Analytical Multiloop Control for Multivariable Systems with Time Delays Complexity |
| title | Analytical Multiloop Control for Multivariable Systems with Time Delays |
| title_full | Analytical Multiloop Control for Multivariable Systems with Time Delays |
| title_fullStr | Analytical Multiloop Control for Multivariable Systems with Time Delays |
| title_full_unstemmed | Analytical Multiloop Control for Multivariable Systems with Time Delays |
| title_short | Analytical Multiloop Control for Multivariable Systems with Time Delays |
| title_sort | analytical multiloop control for multivariable systems with time delays |
| url | http://dx.doi.org/10.1155/2020/8849483 |
| work_keys_str_mv | AT zhiguowang analyticalmultiloopcontrolformultivariablesystemswithtimedelays AT pengwei analyticalmultiloopcontrolformultivariablesystemswithtimedelays |