Decentralized Static Output Feedback Controller Design for Linear Interconnected Systems
Many interconnected systems in the real world, such as power systems and chemical processes, are often composed of subsystems. A decentralized controller is suitable for an interconnected system because of its more practical and accessible implementation. We use the homotopy method to compute a dece...
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Sciendo
2023-03-01
|
| Series: | International Journal of Applied Mathematics and Computer Science |
| Subjects: | |
| Online Access: | https://doi.org/10.34768/amcs-2023-0007 |
| _version_ | 1827968858729742336 |
|---|---|
| author | Fadhilah Helisyah Nur Adzkiya Dieky Arif Didik Khusnul Zhai Guisheng Mardlijah |
| author_facet | Fadhilah Helisyah Nur Adzkiya Dieky Arif Didik Khusnul Zhai Guisheng Mardlijah |
| author_sort | Fadhilah Helisyah Nur |
| collection | DOAJ |
| description | Many interconnected systems in the real world, such as power systems and chemical processes, are often composed of subsystems. A decentralized controller is suitable for an interconnected system because of its more practical and accessible implementation. We use the homotopy method to compute a decentralized controller. Since the centralized controller constitutes the starting point for the method, its existence becomes very important. This paper introduces a non-singular matrix and a design parameter to generate a centralized controller. If the initial centralized controller fails, we can change the value of the design parameter to generate a new centralized controller. A sufficient condition for a decentralized controller is given as a bilinear matrix inequality with three matrix variables: a controller gain matrix and a pair of other matrix variables. Finally, we present numerical examples to validate the proposed decentralized controller design method. |
| first_indexed | 2024-04-09T18:29:11Z |
| format | Article |
| id | doaj.art-e51045d66dd546fc9776de8ef6bfa313 |
| institution | Directory Open Access Journal |
| issn | 2083-8492 |
| language | English |
| last_indexed | 2024-04-09T18:29:11Z |
| publishDate | 2023-03-01 |
| publisher | Sciendo |
| record_format | Article |
| series | International Journal of Applied Mathematics and Computer Science |
| spelling | doaj.art-e51045d66dd546fc9776de8ef6bfa3132023-04-11T17:28:19ZengSciendoInternational Journal of Applied Mathematics and Computer Science2083-84922023-03-01331839610.34768/amcs-2023-0007Decentralized Static Output Feedback Controller Design for Linear Interconnected SystemsFadhilah Helisyah Nur0Adzkiya Dieky1Arif Didik Khusnul2Zhai Guisheng3Mardlijah41Department of Mathematics, Sepuluh Nopember Institute of Technology, Sukolilo ITS Campus, Surabaya, 60111, Indonesia1Department of Mathematics, Sepuluh Nopember Institute of Technology, Sukolilo ITS Campus, Surabaya, 60111, Indonesia1Department of Mathematics, Sepuluh Nopember Institute of Technology, Sukolilo ITS Campus, Surabaya, 60111, Indonesia3Department of Mathematical Sciences, Shibaura Institute of Technology, 307 Fukasaku, Minuma-ku, Saitama City, Saitama, 337-8570, Japan1Department of Mathematics, Sepuluh Nopember Institute of Technology, Sukolilo ITS Campus, Surabaya, 60111, IndonesiaMany interconnected systems in the real world, such as power systems and chemical processes, are often composed of subsystems. A decentralized controller is suitable for an interconnected system because of its more practical and accessible implementation. We use the homotopy method to compute a decentralized controller. Since the centralized controller constitutes the starting point for the method, its existence becomes very important. This paper introduces a non-singular matrix and a design parameter to generate a centralized controller. If the initial centralized controller fails, we can change the value of the design parameter to generate a new centralized controller. A sufficient condition for a decentralized controller is given as a bilinear matrix inequality with three matrix variables: a controller gain matrix and a pair of other matrix variables. Finally, we present numerical examples to validate the proposed decentralized controller design method.https://doi.org/10.34768/amcs-2023-0007output feedbackdecentralized controllerhomotopy methodinterconnected systemmatrix inequality |
| spellingShingle | Fadhilah Helisyah Nur Adzkiya Dieky Arif Didik Khusnul Zhai Guisheng Mardlijah Decentralized Static Output Feedback Controller Design for Linear Interconnected Systems International Journal of Applied Mathematics and Computer Science output feedback decentralized controller homotopy method interconnected system matrix inequality |
| title | Decentralized Static Output Feedback Controller Design for Linear Interconnected Systems |
| title_full | Decentralized Static Output Feedback Controller Design for Linear Interconnected Systems |
| title_fullStr | Decentralized Static Output Feedback Controller Design for Linear Interconnected Systems |
| title_full_unstemmed | Decentralized Static Output Feedback Controller Design for Linear Interconnected Systems |
| title_short | Decentralized Static Output Feedback Controller Design for Linear Interconnected Systems |
| title_sort | decentralized static output feedback controller design for linear interconnected systems |
| topic | output feedback decentralized controller homotopy method interconnected system matrix inequality |
| url | https://doi.org/10.34768/amcs-2023-0007 |
| work_keys_str_mv | AT fadhilahhelisyahnur decentralizedstaticoutputfeedbackcontrollerdesignforlinearinterconnectedsystems AT adzkiyadieky decentralizedstaticoutputfeedbackcontrollerdesignforlinearinterconnectedsystems AT arifdidikkhusnul decentralizedstaticoutputfeedbackcontrollerdesignforlinearinterconnectedsystems AT zhaiguisheng decentralizedstaticoutputfeedbackcontrollerdesignforlinearinterconnectedsystems AT mardlijah decentralizedstaticoutputfeedbackcontrollerdesignforlinearinterconnectedsystems |