Finite-Time H2/H∞ Control Design for Stochastic Poisson Systems with Applications to Clothing Hanging Device
In this paper, the design of finite-time H2/H∞ controller for linear Itô stochastic Poisson systems is considered. First, the definition of finite-time H2/H∞ control is proposed, which considers the transient performance, H2 index, and H∞ index simultaneously in a predetermined finite-time interval....
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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/10.1155/2020/2463495 |
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| _version_ | 1850178674053087232 |
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| author | Yan Qi Shiyu Zhong Zhiguo Yan |
| author_facet | Yan Qi Shiyu Zhong Zhiguo Yan |
| author_sort | Yan Qi |
| collection | DOAJ |
| description | In this paper, the design of finite-time H2/H∞ controller for linear Itô stochastic Poisson systems is considered. First, the definition of finite-time H2/H∞ control is proposed, which considers the transient performance, H2 index, and H∞ index simultaneously in a predetermined finite-time interval. Then, the state feedback and observer-based finite-time H2/H∞ controllers are presented and some new sufficient conditions are obtained. Moreover, an algorithm is given to optimize H2 and H∞ index, simultaneously. Finally, a simulation example indicates the effectiveness of the results. |
| format | Article |
| id | doaj-art-c601d0dc2036472fb4ba21732201b2e7 |
| institution | OA Journals |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-c601d0dc2036472fb4ba21732201b2e72025-08-20T02:18:39ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/24634952463495Finite-Time H2/H∞ Control Design for Stochastic Poisson Systems with Applications to Clothing Hanging DeviceYan Qi0Shiyu Zhong1Zhiguo Yan2School of Fine Arts and Design, University of Jinan, Jinan 250022, ChinaSchool of Electrical Engineering and Automation, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250353, ChinaSchool of Electrical Engineering and Automation, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250353, ChinaIn this paper, the design of finite-time H2/H∞ controller for linear Itô stochastic Poisson systems is considered. First, the definition of finite-time H2/H∞ control is proposed, which considers the transient performance, H2 index, and H∞ index simultaneously in a predetermined finite-time interval. Then, the state feedback and observer-based finite-time H2/H∞ controllers are presented and some new sufficient conditions are obtained. Moreover, an algorithm is given to optimize H2 and H∞ index, simultaneously. Finally, a simulation example indicates the effectiveness of the results.http://dx.doi.org/10.1155/2020/2463495 |
| spellingShingle | Yan Qi Shiyu Zhong Zhiguo Yan Finite-Time H2/H∞ Control Design for Stochastic Poisson Systems with Applications to Clothing Hanging Device Complexity |
| title | Finite-Time H2/H∞ Control Design for Stochastic Poisson Systems with Applications to Clothing Hanging Device |
| title_full | Finite-Time H2/H∞ Control Design for Stochastic Poisson Systems with Applications to Clothing Hanging Device |
| title_fullStr | Finite-Time H2/H∞ Control Design for Stochastic Poisson Systems with Applications to Clothing Hanging Device |
| title_full_unstemmed | Finite-Time H2/H∞ Control Design for Stochastic Poisson Systems with Applications to Clothing Hanging Device |
| title_short | Finite-Time H2/H∞ Control Design for Stochastic Poisson Systems with Applications to Clothing Hanging Device |
| title_sort | finite time h2 h∞ control design for stochastic poisson systems with applications to clothing hanging device |
| url | http://dx.doi.org/10.1155/2020/2463495 |
| work_keys_str_mv | AT yanqi finitetimeh2hcontroldesignforstochasticpoissonsystemswithapplicationstoclothinghangingdevice AT shiyuzhong finitetimeh2hcontroldesignforstochasticpoissonsystemswithapplicationstoclothinghangingdevice AT zhiguoyan finitetimeh2hcontroldesignforstochasticpoissonsystemswithapplicationstoclothinghangingdevice |