Adaptive interval type-2 fuzzy fixed-time control for nonlinear MIMO fast-slow coupled systems with user-defined tracking performance
This paper focuses on the adaptive interval type-2 (IT2) fuzzy fixed-time self-triggered control issue for a class of multi-input and multi-output (MIMO) nonlinear fast-slow coupled systems (FSCSs) with preassigned tracking performance requirements. At first, the steady-state error and dynamic respo...
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| Veröffentlicht in: | Fuzzy sets and systems Jg. 472; S. 108694 |
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| Format: | Journal Article |
| Sprache: | Englisch |
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Elsevier B.V
30.11.2023
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| ISSN: | 0165-0114, 1872-6801 |
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| Abstract | This paper focuses on the adaptive interval type-2 (IT2) fuzzy fixed-time self-triggered control issue for a class of multi-input and multi-output (MIMO) nonlinear fast-slow coupled systems (FSCSs) with preassigned tracking performance requirements. At first, the steady-state error and dynamic response of the investigated system are synthetically weighed by introducing an improved fixed-time prescribed performance function into coordinate transformation. Second, an IT2 fuzzy adaptive self-trigged controller is designed, where the unknown continuous functions are approximated by the interval type-2 fuzzy logic systems (IT2FLSs). In addition, the 1-bit encoding-decoding mechanism (EDM) is embedded in the signal transmission channel between the controller and the actuator, which also provides a feasible solution to further reduce network bandwidth consumption under the framework of the self-triggered protocol. Stability analysis indicates that the developed control method ensures that all states of the closed-loop system are practical fixed-time bounded, and the tracking error evolves to a pre-specified performance envelope within a predetermined time. Finally, a numerical example and an application example are provided to demonstrate the effectiveness and superiority of the proposed method. |
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| AbstractList | This paper focuses on the adaptive interval type-2 (IT2) fuzzy fixed-time self-triggered control issue for a class of multi-input and multi-output (MIMO) nonlinear fast-slow coupled systems (FSCSs) with preassigned tracking performance requirements. At first, the steady-state error and dynamic response of the investigated system are synthetically weighed by introducing an improved fixed-time prescribed performance function into coordinate transformation. Second, an IT2 fuzzy adaptive self-trigged controller is designed, where the unknown continuous functions are approximated by the interval type-2 fuzzy logic systems (IT2FLSs). In addition, the 1-bit encoding-decoding mechanism (EDM) is embedded in the signal transmission channel between the controller and the actuator, which also provides a feasible solution to further reduce network bandwidth consumption under the framework of the self-triggered protocol. Stability analysis indicates that the developed control method ensures that all states of the closed-loop system are practical fixed-time bounded, and the tracking error evolves to a pre-specified performance envelope within a predetermined time. Finally, a numerical example and an application example are provided to demonstrate the effectiveness and superiority of the proposed method. |
| ArticleNumber | 108694 |
| Author | Song, Shuai Wu, Chenglin Song, Xiaona |
| Author_xml | – sequence: 1 givenname: Xiaona surname: Song fullname: Song, Xiaona – sequence: 2 givenname: Chenglin surname: Wu fullname: Wu, Chenglin – sequence: 3 givenname: Shuai orcidid: 0000-0002-4780-0967 surname: Song fullname: Song, Shuai email: songshuai_1010@163.com |
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| CitedBy_id | crossref_primary_10_1002_rnc_7790 crossref_primary_10_1016_j_ast_2025_110041 crossref_primary_10_1016_j_amc_2025_129467 crossref_primary_10_3390_axioms12121115 crossref_primary_10_1016_j_fss_2024_109202 crossref_primary_10_1016_j_fss_2025_109570 crossref_primary_10_1007_s11071_025_11586_2 crossref_primary_10_1016_j_fss_2025_109374 |
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| Keywords | Adaptive fixed-time prescribed performance control Self-triggered control 1-Bit encoding-decoding mechanism Interval type-2 fuzzy logic systems Nonlinear MIMO fast-slow coupled systems |
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| SubjectTerms | 1-Bit encoding-decoding mechanism Adaptive fixed-time prescribed performance control Interval type-2 fuzzy logic systems Nonlinear MIMO fast-slow coupled systems Self-triggered control |
| Title | Adaptive interval type-2 fuzzy fixed-time control for nonlinear MIMO fast-slow coupled systems with user-defined tracking performance |
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