Robust H∞ Feedback Compensator Design for Linear Parabolic DPSs with Pointwise/Piecewise Control and Pointwise/Piecewise Measurement
In this paper, a robust H∞ control problem of a class of linear parabolic distributed parameter systems (DPSs) with pointwise/piecewise control and pointwise/piecewise measurement has been investigated via the robust H∞ feedback compensator design approach. A unified Lyapunov direct approach is prop...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2021/6660857 |
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| author | Liu Yaqiang Ren Zhigang Jin Zengwang |
| author_facet | Liu Yaqiang Ren Zhigang Jin Zengwang |
| author_sort | Liu Yaqiang |
| collection | DOAJ |
| description | In this paper, a robust H∞ control problem of a class of linear parabolic distributed parameter systems (DPSs) with pointwise/piecewise control and pointwise/piecewise measurement has been investigated via the robust H∞ feedback compensator design approach. A unified Lyapunov direct approach is proposed in consideration of the pointwise/piecewise control and point/piecewise measurement based on the distributions of the actuators and sensors. A new type of Luenberger observer is developed on the continuous interval of space domain to track the state of the system, and an H∞ performance constraint with prescribed H∞ attenuation levels is proposed in this paper. By utilizing Lyapunov technique, mathematical inequalities, and integration theory, a sufficient condition based on LMI for the exponential stability of the corresponding closed-loop coupled system under an H∞ performance constraint is presented. Finally, the effectiveness of the proposed design method is verified by numerical simulation results. |
| format | Article |
| id | doaj-art-0cb004da535c4fe6a3d9e27b29deca1c |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-0cb004da535c4fe6a3d9e27b29deca1c2025-02-03T06:06:30ZengWileyComplexity1076-27871099-05262021-01-01202110.1155/2021/66608576660857Robust H∞ Feedback Compensator Design for Linear Parabolic DPSs with Pointwise/Piecewise Control and Pointwise/Piecewise MeasurementLiu Yaqiang0Ren Zhigang1Jin Zengwang2School of Automation and Guangdong-HongKong-Macao Joint Laboratory for Smart Discrete Manufacturing, Guangdong University of Technology, Guangzhou, Guangdong 510006, ChinaSchool of Automation and Guangdong Discrete Manufacturing KnowledgeAutomation Engineering Technology Research Center, Guangdong University of Technology, Guangzhou, Guangdong 510006, ChinaSchool of Cybersecurity, Northwestern Polytechnical University, Xi’an, Shanxi 710072, ChinaIn this paper, a robust H∞ control problem of a class of linear parabolic distributed parameter systems (DPSs) with pointwise/piecewise control and pointwise/piecewise measurement has been investigated via the robust H∞ feedback compensator design approach. A unified Lyapunov direct approach is proposed in consideration of the pointwise/piecewise control and point/piecewise measurement based on the distributions of the actuators and sensors. A new type of Luenberger observer is developed on the continuous interval of space domain to track the state of the system, and an H∞ performance constraint with prescribed H∞ attenuation levels is proposed in this paper. By utilizing Lyapunov technique, mathematical inequalities, and integration theory, a sufficient condition based on LMI for the exponential stability of the corresponding closed-loop coupled system under an H∞ performance constraint is presented. Finally, the effectiveness of the proposed design method is verified by numerical simulation results.http://dx.doi.org/10.1155/2021/6660857 |
| spellingShingle | Liu Yaqiang Ren Zhigang Jin Zengwang Robust H∞ Feedback Compensator Design for Linear Parabolic DPSs with Pointwise/Piecewise Control and Pointwise/Piecewise Measurement Complexity |
| title | Robust H∞ Feedback Compensator Design for Linear Parabolic DPSs with Pointwise/Piecewise Control and Pointwise/Piecewise Measurement |
| title_full | Robust H∞ Feedback Compensator Design for Linear Parabolic DPSs with Pointwise/Piecewise Control and Pointwise/Piecewise Measurement |
| title_fullStr | Robust H∞ Feedback Compensator Design for Linear Parabolic DPSs with Pointwise/Piecewise Control and Pointwise/Piecewise Measurement |
| title_full_unstemmed | Robust H∞ Feedback Compensator Design for Linear Parabolic DPSs with Pointwise/Piecewise Control and Pointwise/Piecewise Measurement |
| title_short | Robust H∞ Feedback Compensator Design for Linear Parabolic DPSs with Pointwise/Piecewise Control and Pointwise/Piecewise Measurement |
| title_sort | robust h∞ feedback compensator design for linear parabolic dpss with pointwise piecewise control and pointwise piecewise measurement |
| url | http://dx.doi.org/10.1155/2021/6660857 |
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