Fuzzy Adaptive Decentralized Control for Nonstrict-Feedback Large-Scale Switched Fractional-Order Nonlinear Systems

Bi, Wenshan; Wang, Tong; Yu, Xinghu

doi:10.1109/tcyb.2021.3061136

Cited by 29 publications

(23 citation statements)

References 36 publications

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“…Remark In fact, the computational complexity of our approach is almost the same as that of the existing methods developed in References 42‐45. One major difference is that a new switching DETM is added in this paper.…”

Section: Resultsmentioning

confidence: 87%

“…More communication and computation resources can thus be saved by using the proposed approach. But, the methods developed in References 42‐45 cannot address the problem studied in this paper, since these methods are only established in the context of continuous‐time feedback.…”

Section: Resultsmentioning

confidence: 99%

“…Consider the nonstrict-feedback switched system (1) satisfying Assumptions 1 and 2. For any bounded initial conditions with −𝜁 L (0) < 𝜁(0) < 𝜁 H (0) and θij (0) ≥ 0, i = 1, … , n, j = 1, … , m, the event-triggered adaptive fuzzy controllers of subsystems (38), (42), the switched update laws (20), (33), (40) and the switching DETM ( 43)-( 46) can guarantee that the following two properties are satisfied under arbitrary switchings.…”

Section: Fixed-time Boundedness Analysismentioning

confidence: 99%

“…by using the facts of To overcome these difficulties, the common virtual controls (18), (31), the event-triggered adaptive fuzzy controllers of subsystems (38), (42) together with the switched update laws (20), (33), (40), and a new switching DETM ( 43)-( 46) are designed, which effectively ensure the achievement of control objective stated in Section 2.…”

Section: Fixed-time Boundedness Analysismentioning

confidence: 99%

See 3 more Smart Citations

Dynamic event‐triggered fixed‐time adaptive fuzzy control of nonstrict‐feedback switched nonlinear systems

Wang

Long

2022

Intl J Robust & Nonlinear

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In this paper, a dynamic event‐triggered fixed‐time adaptive fuzzy control method is set up to solve the tracking problem for a type of nonstrict‐feedback switched nonlinear systems with asymmetric tracking error constraints. The proposed method constructs different event‐triggered adaptive fuzzy controllers for different subsystems together with switched update laws and a switching dynamic event‐triggering mechanism (DETM). Under this switching DETM, the difficulty caused by asynchronous switching between candidate controllers of subsystems and subsystems is effectively overcome, and the known limitations on maximum asynchronous time in the existing literature are not needed. Meanwhile, Zeno behavior is avoided by deriving a strictly positive lower bound of interevent times. It is guaranteed that the asymmetric tracking error constraints are never violated and the tracking error can converge to a small neighborhood of origin in a fixed‐time under arbitrary switchings. Finally, the feasibility of the derived theoretical results is demonstrated by employing a numerical example and a switched Chua's Circuit system.

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Section: Resultsmentioning

confidence: 87%

Section: Resultsmentioning

confidence: 99%

Section: Fixed-time Boundedness Analysismentioning

confidence: 99%

Section: Fixed-time Boundedness Analysismentioning

confidence: 99%

See 2 more Smart Citations

Dynamic event‐triggered fixed‐time adaptive fuzzy control of nonstrict‐feedback switched nonlinear systems

Wang

Long

2022

Intl J Robust & Nonlinear

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“…Recently, the adaptive decentralized controller and adaptive sliding-mode decentralized controller have been put forward by [23]- [24] for the FO nonlinear large-scale systems. Furthermore, the authors in [25]- [27] put forward intelligent adaptive backstepping decentralized control schemes for the uncertain non witched or switched FO nonlinear large-scale systems. Later, an observer-based intelligent adaptive decentralized DSC control strategy has been developed by the authors in [28].…”

Section: Introductionmentioning

confidence: 99%

Adaptive Fuzzy Decentralized Control for Fractional-Order Nonlinear Large-Scale Systems With Unmodeled Dynamics

et al. 2021

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This paper addresses the decentralized control issue for the fractional-order (FO) nonlinear large-scale strict-feedback systems with unmodeled dynamics. The unknown nonlinear functions are identified by fuzzy logic systems (FLSs) and the FO dynamic signals are introduced to dominate the unmodeled dynamics. Additionally, the fractional-order dynamic surface control (FODSC) design technique is introduced into the adaptive backstepping control algorithm to avoid the issue of "explosion of complexity". Then, an adaptive fuzzy decentralized control scheme is developed via the FO Lyapunov stability criterion. It is proved that the controlled FO systems are stable and the tracking errors can converge to a small neighborhood of zero. The simulation example is provided to confirm the validity of the put forward control scheme.INDEX TERMS Fractional-order system, large-scale systems, DSC, adaptive fuzzy decentralized control, backstepping, unmodeled dynamics.

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Observer‐based adaptive neural network dynamic surface bipartite containment control for switched fractional order multi‐agent systems

Yuan

Chen

2022

Adaptive Control & Signal

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This article studies the bipartite containment control problem for a class of fractional order nonlinear multi-agent systems in the presence of arbitrary switchings and unmeasured states. Under the framework of Lyapunov function theory, this article proposes an adaptive neural network dynamic surface controller, in which dynamic surface control technology can avoid "explosion of complexity" and obtain fractional derivatives for virtual control functions continuously. Radial basis function neural networks are used to approximate the unknown nonlinear functions and an observer is designed to obtain the unmeasured states. The proposed distributed protocol can ensure all the signals remain semi-global uniformly ultimately bounded in the closed-loop system and all followers can converge to the convex hull containing each leader's trajectory as well as its opposite trajectory different in sign. Example and simulation results confirm the feasibility of the proposed control method.

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Fuzzy Adaptive Decentralized Control for Nonstrict-Feedback Large-Scale Switched Fractional-Order Nonlinear Systems

Cited by 29 publications

References 36 publications

Dynamic event‐triggered fixed‐time adaptive fuzzy control of nonstrict‐feedback switched nonlinear systems

Dynamic event‐triggered fixed‐time adaptive fuzzy control of nonstrict‐feedback switched nonlinear systems

Adaptive Fuzzy Decentralized Control for Fractional-Order Nonlinear Large-Scale Systems With Unmodeled Dynamics

Observer‐based adaptive neural network dynamic surface bipartite containment control for switched fractional order multi‐agent systems

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