Constrained Cost Fuzzy Control via Decentralized Design Approach for Nonlinear Descriptor Interconnected Systems
This paper proposes a decentralized robust constrained cost fuzzy controller (DRCCFC) design for nonlinear descriptor interconnected systems (DIS) with uncertainties. The considered nonlinear DIS is modeled using Takagi–Sugeno fuzzy model (T-S FM) with fuzzy rules and strong interconnections. To der...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-06-01
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| Series: | Machines |
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| Online Access: | https://www.mdpi.com/2075-1702/11/6/666 |
| _version_ | 1797593781679161344 |
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| author | Wen-Jer Chang Che-Lun Su Cheung-Chieh Ku Chein-Chung Sun |
| author_facet | Wen-Jer Chang Che-Lun Su Cheung-Chieh Ku Chein-Chung Sun |
| author_sort | Wen-Jer Chang |
| collection | DOAJ |
| description | This paper proposes a decentralized robust constrained cost fuzzy controller (DRCCFC) design for nonlinear descriptor interconnected systems (DIS) with uncertainties. The considered nonlinear DIS is modeled using Takagi–Sugeno fuzzy model (T-S FM) with fuzzy rules and strong interconnections. To derive sufficient stability conditions, the quadratic Lyapunov function (QLF) and free-weighting function (FWF) are defined. In contrast to the existing control approaches, the proportional–derivative feedback (PDF) control is introduced in this paper. Using the PDF control techniques, the regular and causal problems of the system can be solved easily. Based on the PDF control technique and constrained cost control (CCC) function, a set of fuzzy controllers are designed to effectively control the Takagi–Sugeno descriptor interconnected systems (T-S DIS). Then, the proposed sufficient conditions for the T-S DIS are derived in the form of linear matrix inequalities using the Schur complement technique. Finally, two simulation examples are provided to demonstrate the validity of the proposed control scheme. |
| first_indexed | 2024-03-11T02:13:22Z |
| format | Article |
| id | doaj.art-52c2d7b78df14a07996c68dfa5476900 |
| institution | Directory Open Access Journal |
| issn | 2075-1702 |
| language | English |
| last_indexed | 2024-03-11T02:13:22Z |
| publishDate | 2023-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Machines |
| spelling | doaj.art-52c2d7b78df14a07996c68dfa54769002023-11-18T11:21:20ZengMDPI AGMachines2075-17022023-06-0111666610.3390/machines11060666Constrained Cost Fuzzy Control via Decentralized Design Approach for Nonlinear Descriptor Interconnected SystemsWen-Jer Chang0Che-Lun Su1Cheung-Chieh Ku2Chein-Chung Sun3Department of Marine Engineering, National Taiwan Ocean University, Keelung 202301, TaiwanDepartment of Marine Engineering, National Taiwan Ocean University, Keelung 202301, TaiwanDepartment of Marine Engineering, National Kaohsiung University of Science and Technology, Kaohsiung 805301, TaiwanDepartment of Marine Engineering, National Kaohsiung University of Science and Technology, Kaohsiung 805301, TaiwanThis paper proposes a decentralized robust constrained cost fuzzy controller (DRCCFC) design for nonlinear descriptor interconnected systems (DIS) with uncertainties. The considered nonlinear DIS is modeled using Takagi–Sugeno fuzzy model (T-S FM) with fuzzy rules and strong interconnections. To derive sufficient stability conditions, the quadratic Lyapunov function (QLF) and free-weighting function (FWF) are defined. In contrast to the existing control approaches, the proportional–derivative feedback (PDF) control is introduced in this paper. Using the PDF control techniques, the regular and causal problems of the system can be solved easily. Based on the PDF control technique and constrained cost control (CCC) function, a set of fuzzy controllers are designed to effectively control the Takagi–Sugeno descriptor interconnected systems (T-S DIS). Then, the proposed sufficient conditions for the T-S DIS are derived in the form of linear matrix inequalities using the Schur complement technique. Finally, two simulation examples are provided to demonstrate the validity of the proposed control scheme.https://www.mdpi.com/2075-1702/11/6/666nonlinear descriptor interconnected systemsTakagi–Sugeno fuzzy modelconstrained cost fuzzy control |
| spellingShingle | Wen-Jer Chang Che-Lun Su Cheung-Chieh Ku Chein-Chung Sun Constrained Cost Fuzzy Control via Decentralized Design Approach for Nonlinear Descriptor Interconnected Systems Machines nonlinear descriptor interconnected systems Takagi–Sugeno fuzzy model constrained cost fuzzy control |
| title | Constrained Cost Fuzzy Control via Decentralized Design Approach for Nonlinear Descriptor Interconnected Systems |
| title_full | Constrained Cost Fuzzy Control via Decentralized Design Approach for Nonlinear Descriptor Interconnected Systems |
| title_fullStr | Constrained Cost Fuzzy Control via Decentralized Design Approach for Nonlinear Descriptor Interconnected Systems |
| title_full_unstemmed | Constrained Cost Fuzzy Control via Decentralized Design Approach for Nonlinear Descriptor Interconnected Systems |
| title_short | Constrained Cost Fuzzy Control via Decentralized Design Approach for Nonlinear Descriptor Interconnected Systems |
| title_sort | constrained cost fuzzy control via decentralized design approach for nonlinear descriptor interconnected systems |
| topic | nonlinear descriptor interconnected systems Takagi–Sugeno fuzzy model constrained cost fuzzy control |
| url | https://www.mdpi.com/2075-1702/11/6/666 |
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