Distributed static output feedback control for interconnected systems in finite‐frequency domain
Abstract This paper aims at designing a distributed static output feedback (DSOF) controller for the interconnected system in finite‐frequency domain. Motivated by the fact that the signal transmitting process is usually affected by surrounding environments, the interconnection communication between...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-05-01
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| Series: | IET Control Theory & Applications |
| Subjects: | |
| Online Access: | https://doi.org/10.1049/cth2.12103 |
| _version_ | 1797901421609222144 |
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| author | Xuefeng Chen Huiling Xu Hui Wang |
| author_facet | Xuefeng Chen Huiling Xu Hui Wang |
| author_sort | Xuefeng Chen |
| collection | DOAJ |
| description | Abstract This paper aims at designing a distributed static output feedback (DSOF) controller for the interconnected system in finite‐frequency domain. Motivated by the fact that the signal transmitting process is usually affected by surrounding environments, the interconnection communication between subsystems are assumed to be non‐ideal. By introducing some dilated multipliers into the extended condition that guarantees the well‐posedness, stability and finite‐frequency H∞ performance of non‐ideally interconnected systems, a new equivalent condition is derived, which is more effective for parameterizing the DSOF controller. A two‐stage approach is then developed for constructing a DSOF controller: design an initial distributed full information (DFI) controller first and then derive a desired DSOF from the DFI controller. Moreover, two iterative linear matrix inequality based algorithms are proposed to improve the solvability of the DFI controller and DSOF controller design problems. Finally, an example is given to show the effectiveness of the proposed two‐stage DSOF controller design method. |
| first_indexed | 2024-04-10T09:01:48Z |
| format | Article |
| id | doaj.art-0e156dabf776497ca76d89a68112642b |
| institution | Directory Open Access Journal |
| issn | 1751-8644 1751-8652 |
| language | English |
| last_indexed | 2024-04-10T09:01:48Z |
| publishDate | 2021-05-01 |
| publisher | Wiley |
| record_format | Article |
| series | IET Control Theory & Applications |
| spelling | doaj.art-0e156dabf776497ca76d89a68112642b2023-02-21T10:41:42ZengWileyIET Control Theory & Applications1751-86441751-86522021-05-011581068108110.1049/cth2.12103Distributed static output feedback control for interconnected systems in finite‐frequency domainXuefeng Chen0Huiling Xu1Hui Wang2School of Science Nanjing University of Science and Technology Nanjing Jiangsu ChinaSchool of Science Nanjing University of Science and Technology Nanjing Jiangsu ChinaSchool of Science Nanjing University of Science and Technology Nanjing Jiangsu ChinaAbstract This paper aims at designing a distributed static output feedback (DSOF) controller for the interconnected system in finite‐frequency domain. Motivated by the fact that the signal transmitting process is usually affected by surrounding environments, the interconnection communication between subsystems are assumed to be non‐ideal. By introducing some dilated multipliers into the extended condition that guarantees the well‐posedness, stability and finite‐frequency H∞ performance of non‐ideally interconnected systems, a new equivalent condition is derived, which is more effective for parameterizing the DSOF controller. A two‐stage approach is then developed for constructing a DSOF controller: design an initial distributed full information (DFI) controller first and then derive a desired DSOF from the DFI controller. Moreover, two iterative linear matrix inequality based algorithms are proposed to improve the solvability of the DFI controller and DSOF controller design problems. Finally, an example is given to show the effectiveness of the proposed two‐stage DSOF controller design method.https://doi.org/10.1049/cth2.12103Interpolation and function approximation (numerical analysis)AlgebraLinear control systemsControl system analysis and synthesis methodsStability in control theoryMultivariable control systems |
| spellingShingle | Xuefeng Chen Huiling Xu Hui Wang Distributed static output feedback control for interconnected systems in finite‐frequency domain IET Control Theory & Applications Interpolation and function approximation (numerical analysis) Algebra Linear control systems Control system analysis and synthesis methods Stability in control theory Multivariable control systems |
| title | Distributed static output feedback control for interconnected systems in finite‐frequency domain |
| title_full | Distributed static output feedback control for interconnected systems in finite‐frequency domain |
| title_fullStr | Distributed static output feedback control for interconnected systems in finite‐frequency domain |
| title_full_unstemmed | Distributed static output feedback control for interconnected systems in finite‐frequency domain |
| title_short | Distributed static output feedback control for interconnected systems in finite‐frequency domain |
| title_sort | distributed static output feedback control for interconnected systems in finite frequency domain |
| topic | Interpolation and function approximation (numerical analysis) Algebra Linear control systems Control system analysis and synthesis methods Stability in control theory Multivariable control systems |
| url | https://doi.org/10.1049/cth2.12103 |
| work_keys_str_mv | AT xuefengchen distributedstaticoutputfeedbackcontrolforinterconnectedsystemsinfinitefrequencydomain AT huilingxu distributedstaticoutputfeedbackcontrolforinterconnectedsystemsinfinitefrequencydomain AT huiwang distributedstaticoutputfeedbackcontrolforinterconnectedsystemsinfinitefrequencydomain |