Adaptive Fuzzy Containment Control of Nonlinear Strict-Feedback Systems With Full State Constraints

In this paper, the distributed adaptive fuzzy containment control problem is investigated for a class of uncertain nonlinear systems guided by multiple dynamic leaders. Each follower is modeled by nonlinear strict-feedback systems subject to full state constraints. The function approximation techniq...

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Published inIEEE transactions on fuzzy systems Vol. 27; no. 10; pp. 2024 - 2038
Main Authors Wang, Wei, Tong, Shaocheng
Format Journal Article
LanguageEnglish
Published New York IEEE 01.10.2019
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Adaptive control
Barrier Lyapunov function
Computer simulation
Containment
containment control
full state constraints
Fuzzy control
Fuzzy logic
fuzzy logic system (FLS)
Fuzzy systems
Liapunov functions
Lyapunov methods
Multi-agent systems
Nonlinear control
Nonlinear systems
Output feedback
sliding-mode estimator
State feedback
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Abstract In this paper, the distributed adaptive fuzzy containment control problem is investigated for a class of uncertain nonlinear systems guided by multiple dynamic leaders. Each follower is modeled by nonlinear strict-feedback systems subject to full state constraints. The function approximation technique using fuzzy logic systems is utilized to identify the unknown nonlinearities of each follower. Both the state feedback containment control and the observer-based output feedback containment control are constructed by combining distributed sliding-mode estimators with adaptive fuzzy backstepping control. To prevent constraint violation, multiple barrier Lyapunov functions associated with error surfaces are introduced in the control design. It is proven that uniformly ultimately bounded containment control is achieved without violating full state constraints under the condition that for each follower, there exists at least one leader that has a directed path to that follower. Simulation studies are performed to show the effectiveness of the proposed theoretical results.
AbstractList In this paper, the distributed adaptive fuzzy containment control problem is investigated for a class of uncertain nonlinear systems guided by multiple dynamic leaders. Each follower is modeled by nonlinear strict-feedback systems subject to full state constraints. The function approximation technique using fuzzy logic systems is utilized to identify the unknown nonlinearities of each follower. Both the state feedback containment control and the observer-based output feedback containment control are constructed by combining distributed sliding-mode estimators with adaptive fuzzy backstepping control. To prevent constraint violation, multiple barrier Lyapunov functions associated with error surfaces are introduced in the control design. It is proven that uniformly ultimately bounded containment control is achieved without violating full state constraints under the condition that for each follower, there exists at least one leader that has a directed path to that follower. Simulation studies are performed to show the effectiveness of the proposed theoretical results.
Author Wang, Wei
Tong, Shaocheng
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  surname: Tong
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  email: jztsc@sohu.com
  organization: Department of Mathematics, Liaoning University of Technology, Jinzhou, China
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Snippet In this paper, the distributed adaptive fuzzy containment control problem is investigated for a class of uncertain nonlinear systems guided by multiple dynamic...
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SubjectTerms Adaptive control
Barrier Lyapunov function
Computer simulation
Containment
containment control
full state constraints
Fuzzy control
Fuzzy logic
fuzzy logic system (FLS)
Fuzzy systems
Liapunov functions
Lyapunov methods
Multi-agent systems
Nonlinear control
Nonlinear systems
Output feedback
sliding-mode estimator
State feedback
Title Adaptive Fuzzy Containment Control of Nonlinear Strict-Feedback Systems With Full State Constraints
URI https://ieeexplore.ieee.org/document/8613935
https://www.proquest.com/docview/2303954856
Volume 27
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