A Polynomial Decentralized Controller Design for a Large-Scale Nonlinear System: SOS Approach
This paper proposes a novel approach for designing a decentralized controller to stabilize the large-scale nonlinear system. Unlike the previous studies, the polynomial system framework is employed to model the nonlinear large-scale system to decrease not only the modeling error but also the complex...
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| Format: | Article |
| Language: | English |
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IEEE
2022-01-01
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| Series: | IEEE Access |
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| Online Access: | https://ieeexplore.ieee.org/document/9762262/ |
| _version_ | 1818248847289221120 |
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| author | Van-Phong Vu |
| author_facet | Van-Phong Vu |
| author_sort | Van-Phong Vu |
| collection | DOAJ |
| description | This paper proposes a novel approach for designing a decentralized controller to stabilize the large-scale nonlinear system. Unlike the previous studies, the polynomial system framework is employed to model the nonlinear large-scale system to decrease not only the modeling error but also the complexity and computational load significantly. Especially, in case the large-scale nonlinear systems consist of non-polynomial forms (such as sine, cosine, and so on), synthesizing the controller for this system becomes much more challenging. By putting non-polynomial terms inside the matrices, a new approach for designing a decentralized polynomial controller is presented to eliminate the impacts of nonlinear terms and stabilize the system. Based on Lyapunov methodology, the conditions for synthesizing a decentralized polynomial controller expressed under the framework of Sum-of-Square (SOS) are derived in the main theorems. Finally, the effectiveness and superiority of the proposed method are demonstrated in two illustrative examples. |
| first_indexed | 2024-12-12T15:27:06Z |
| format | Article |
| id | doaj.art-c222944047a5492eb9d9ee8080f38ebb |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-12-12T15:27:06Z |
| publishDate | 2022-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-c222944047a5492eb9d9ee8080f38ebb2022-12-22T00:20:14ZengIEEEIEEE Access2169-35362022-01-0110440084402210.1109/ACCESS.2022.31698989762262A Polynomial Decentralized Controller Design for a Large-Scale Nonlinear System: SOS ApproachVan-Phong Vu0https://orcid.org/0000-0002-3243-1775Department of Automatic Control, Ho Chi Minh City University of Technology and Education, Ho Chi Minh City, VietnamThis paper proposes a novel approach for designing a decentralized controller to stabilize the large-scale nonlinear system. Unlike the previous studies, the polynomial system framework is employed to model the nonlinear large-scale system to decrease not only the modeling error but also the complexity and computational load significantly. Especially, in case the large-scale nonlinear systems consist of non-polynomial forms (such as sine, cosine, and so on), synthesizing the controller for this system becomes much more challenging. By putting non-polynomial terms inside the matrices, a new approach for designing a decentralized polynomial controller is presented to eliminate the impacts of nonlinear terms and stabilize the system. Based on Lyapunov methodology, the conditions for synthesizing a decentralized polynomial controller expressed under the framework of Sum-of-Square (SOS) are derived in the main theorems. Finally, the effectiveness and superiority of the proposed method are demonstrated in two illustrative examples.https://ieeexplore.ieee.org/document/9762262/Large-scale nonlinear systempolynomial systempolynomial decentralized controller designSOS |
| spellingShingle | Van-Phong Vu A Polynomial Decentralized Controller Design for a Large-Scale Nonlinear System: SOS Approach IEEE Access Large-scale nonlinear system polynomial system polynomial decentralized controller design SOS |
| title | A Polynomial Decentralized Controller Design for a Large-Scale Nonlinear System: SOS Approach |
| title_full | A Polynomial Decentralized Controller Design for a Large-Scale Nonlinear System: SOS Approach |
| title_fullStr | A Polynomial Decentralized Controller Design for a Large-Scale Nonlinear System: SOS Approach |
| title_full_unstemmed | A Polynomial Decentralized Controller Design for a Large-Scale Nonlinear System: SOS Approach |
| title_short | A Polynomial Decentralized Controller Design for a Large-Scale Nonlinear System: SOS Approach |
| title_sort | polynomial decentralized controller design for a large scale nonlinear system sos approach |
| topic | Large-scale nonlinear system polynomial system polynomial decentralized controller design SOS |
| url | https://ieeexplore.ieee.org/document/9762262/ |
| work_keys_str_mv | AT vanphongvu apolynomialdecentralizedcontrollerdesignforalargescalenonlinearsystemsosapproach AT vanphongvu polynomialdecentralizedcontrollerdesignforalargescalenonlinearsystemsosapproach |