Event-Triggered Adaptive Fuzzy Fixed-Time Tracking Control for a Class of Nonstrict-Feedback Nonlinear Systems

Wang, Huanqing; Xu, Ke; Qiu, Jianbin

doi:10.1109/tcsi.2021.3073024

Cited by 179 publications

(69 citation statements)

References 58 publications

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“…Assumption 1 is a similar assumption in the study of switched nonlinear systems 3,37 or nonswitched nonlinear systems 27 . Without loss of generality, it is assumed that

0 < {\underline{g}}_{i k} \leq g_{i k} (x) \leq {\overline{g}}_{i k}, k \in 𝕄

.…”

Section: System Description and Preliminariesmentioning

confidence: 99%

“…24,25 Hence, it is of great practical significance to study the problem of event-triggered fixed-time adaptive fuzzy control for switched nonlinear systems with asymmetric tracking error constraints in this paper. Although, for nonswitched nonlinear systems, several significant event-triggering mechanisms (ETMs) have been proposed to achieve event-triggered fixed-time adaptive tracking control, 26,27 these ETMs cannot be directly applied to solve the problem studied in this paper, owing to the difficulties caused by the interplay between fixed-time convergence and subsystem switching and event-triggering.…”

Section: Introductionmentioning

confidence: 99%

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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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“…Assumption 1 is a similar assumption in the study of switched nonlinear systems 3,37 or nonswitched nonlinear systems 27 . Without loss of generality, it is assumed that

0 < {\underline{g}}_{i k} \leq g_{i k} (x) \leq {\overline{g}}_{i k}, k \in 𝕄

.…”

Section: System Description and Preliminariesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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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“…Remark 7. Due to the weight estimation error Wc in the NN approximation process, then, two different event-triggered conditions are obtained, i.e., the event-triggered condition (35) in Theorem 1 and the event-triggered condition (64) in Theorem 2. In the implementation process, it is more appropriate to use the condition (62), where Λ is obtained through many experiments.…”

Section: ẇCmentioning

confidence: 99%

“…In order to overcome the heavy computational burden and waste of communication resources by TTC mechanism, the event-triggered control (ETC) mechanism has begun to attract much attention [29]- [31]. Compared with the TTC mechanism, the ETC mechanism only updates the controller when the event-triggered condition is violated, which can reduce the amount of calculation and save communication resources [32]- [35]. Therefore, many event-triggered ADP methods are proposed to solve the ZSG problem.…”

Section: Introductionmentioning

confidence: 99%

Event-Triggered Safe Control for the Zero-Sum Game of Nonlinear Safety-Critical Systems With Input Saturation

et al. 2022

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In this paper, a novel adaptive dynamic programming (ADP)-based event-triggered safe control method is proposed to solve the zero-sum game problem of nonlinear safety-critical systems with safety constraints and input saturation. First, the barrier function-based system transformation, the zerosum game problem with safety constraints and input saturation is transformed into an equivalent input saturation zero-sum game problem, so as to guarantee that the system does not violate the safety constraints. Furthermore, the non-quadratic utility function is introduced into the performance function to solve input saturation. Then, a critic neural network (NN) is constructed to approximate the optimal safety value function. Subsequently, a novel event-triggered scheme is developed to determine the update instant of the control law and the disturbance law. Therefore, the proposed ADP-based event-triggered safe control method can ensure that the states of nonlinear safety-critical systems satisfy the safety constraints, while greatly reducing the amount of calculation and saving communication resources. In addition, during the learning process, the concurrent learning is used to relax the persistence of excitation (PE) condition. According to the Lyapuov theory, it is proved that the weight estimation error of the critic neural network and the states are uniformly ultimately bounded (UUB), and the Zeno behavior is excluded. Finally, a simulation example verifies the effectiveness of the proposed method.

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“…Literature 21 designed a suitable distributed controller for a class of Lipschitz nonlinear multi‐agent systems which makes the closed‐loop systems be positive and finite‐time stabilizable and satisfy the given

H_{\infty}

performance index. For nonstrict‐feedback nonlinear systems, fuzzy logic system (FLS) is employed to approximate the packaged unknown nonlinearities in Reference 22. Event‐triggered mechanism is employed to schedule the data transmission dependent upon errors exceeding certain thresholds.…”

Section: Introductionmentioning

confidence: 99%

Distributed neuroadaptive monitoring fault‐tolerant consensus control for nonlinear multi‐agent systems with actuator faults

Yang²,

Ma³

et al. 2022

Intl J Robust & Nonlinear

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This article proposes a distributed neuroadaptive monitoring fault-tolerant consensus control scheme for a class of uncertain, nonlinear, strict feedback multi-agent systems which have actuator faults and all the control coefficients in them are unknown. This scheme provides each agent with a local monitor combined with the actuator switching to solve actuator failure. Simultaneously, it guarantees the tracking error satisfies the prescribed transient and steady-state performance, even if there exist actuators switching. Furthermore, the time varying asymmetric Barrier Lyapunov function (BLF) and the auxiliary system are used to analyze input and output constraints' influence. Under the action of aforementioned control scheme, closed-loop systems can be stable and semiglobal uniform boundedness. Additionally, its efficacy can be proved in numerical simulation.

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Event-Triggered Adaptive Fuzzy Fixed-Time Tracking Control for a Class of Nonstrict-Feedback Nonlinear Systems

Cited by 179 publications

References 58 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

Event-Triggered Safe Control for the Zero-Sum Game of Nonlinear Safety-Critical Systems With Input Saturation

Distributed neuroadaptive monitoring fault‐tolerant consensus control for nonlinear multi‐agent systems with actuator faults

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