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
Hauptverfasser:	Song, Xiaona, Wu, Chenglin, Song, Shuai
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	Elsevier B.V 30.11.2023
Schlagworte:	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 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
ISSN:	0165-0114, 1872-6801
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Zusammenfassung:	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.
ISSN:	0165-0114 1872-6801
DOI:	10.1016/j.fss.2023.108694