Relaxed static output feedback control for discrete-time Takagi-Sugeno fuzzy systems: A switching sequence convex optimization algorithm
In this paper, a new switching sequence convex optimization (SSCO) algorithm is proposed for solving non-convex optimization problem with complex time-varying relaxation matrix structures that arises during output feedback design. Firstly, the introduced time-varying relaxation matrix combines the m...
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| Vydáno v: | Information sciences Ročník 678; s. 120966 |
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| Jazyk: | angličtina |
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Elsevier Inc
01.09.2024
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| ISSN: | 0020-0255, 1872-6291 |
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| Abstract | In this paper, a new switching sequence convex optimization (SSCO) algorithm is proposed for solving non-convex optimization problem with complex time-varying relaxation matrix structures that arises during output feedback design. Firstly, the introduced time-varying relaxation matrix combines the membership functions and the designed switching mechanism to adjust the positive and negative terms of the inequality constraints. As a result, relaxed controller design conditions with complex matrix structures are established. The proposed SSCO algorithm employs switching optimization variables and inner approximation strategy, which is able to compute non-convex optimization problems with complex matrix structures more flexibly and converge quickly. It is worth noting that the implementation of the SSCO algorithm requires a set of strictly feasible initial solutions. Therefore, an initialization iterative algorithm is proposed, which overcomes the difficulties of transforming the solving problem into a typical non-convex optimization problem and linearizing multiple different concave parts, by which a set of optimized feasible solutions are obtained. Finally, simulation examples are used to demonstrate the superiority of the design scheme proposed in this paper. |
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| AbstractList | In this paper, a new switching sequence convex optimization (SSCO) algorithm is proposed for solving non-convex optimization problem with complex time-varying relaxation matrix structures that arises during output feedback design. Firstly, the introduced time-varying relaxation matrix combines the membership functions and the designed switching mechanism to adjust the positive and negative terms of the inequality constraints. As a result, relaxed controller design conditions with complex matrix structures are established. The proposed SSCO algorithm employs switching optimization variables and inner approximation strategy, which is able to compute non-convex optimization problems with complex matrix structures more flexibly and converge quickly. It is worth noting that the implementation of the SSCO algorithm requires a set of strictly feasible initial solutions. Therefore, an initialization iterative algorithm is proposed, which overcomes the difficulties of transforming the solving problem into a typical non-convex optimization problem and linearizing multiple different concave parts, by which a set of optimized feasible solutions are obtained. Finally, simulation examples are used to demonstrate the superiority of the design scheme proposed in this paper. |
| ArticleNumber | 120966 |
| Author | Xia, Jianwei Gao, Jingjing Xie, Xiangpeng |
| Author_xml | – sequence: 1 givenname: Jingjing surname: Gao fullname: Gao, Jingjing organization: School of Mathematical Sciences, Liaocheng University, Liaocheng, Shandong 252059, PR China – sequence: 2 givenname: Xiangpeng orcidid: 0000-0003-4822-3134 surname: Xie fullname: Xie, Xiangpeng email: xiexp@njupt.edu.cn organization: School of Internet of Things, Nanjing University of Posts and Telecommunications, Nanjing 210023, PR China – sequence: 3 givenname: Jianwei surname: Xia fullname: Xia, Jianwei organization: School of Mathematical Sciences, Liaocheng University, Liaocheng, Shandong 252059, PR China |
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| Keywords | Static output feedback Optimization algorithm Takagi-Sugeno fuzzy systems Time-varying relaxation matrix technique |
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