Leader–follower sliding mode formation control of fractional-order multi-agent systems: A dynamic event-triggered mechanism

Meng, Xin; Jiang, Baoping; Karimi, Hamid Reza; Gao, Cunchen

doi:10.1016/j.neucom.2023.126691

Cited by 3 publications

(1 citation statement)

References 35 publications

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“…Unlike conventional integer-order systems, fractional-order dynamics introduce memory effects and long-range interactions among agents, allowing for more sophisticated and nuanced formation control strategies [15][16][17]. Various control techniques have been employed and refined in the realm of fractional formation control, such as sliding-mode control [18,19], double-integrator control [20], and both-and-observer control [21]. Thus, building on these prior studies and the benefits of fractional-order control, the domain of fractional multi-agent system formation holds the potential to revolutionize numerous applications.…”

Section: Introductionmentioning

confidence: 99%

Leader-Following Formation Control for Discrete-Time Fractional Stochastic Multi-Agent Systems by Event-Triggered Strategy

Wu,

Yu,

Ren

2024

Fractal Fract

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Fractional differential equations, which are non-local and can better describe memory and genetic properties, are widely used to describe various physical, chemical, and biological phenomena. Therefore, the multi-agent systems based on discrete-time fractional stochastic models are established. First, some followers are selected for pinning control. In order to save resources and energy, an event-triggered based control mechanism is proposed. Second, under this control mechanism, sufficient conditions on the interaction graph and the fractional derivative order such that formation control can be achieved are given. Additionally, influenced by noise, the multi-agent system completes formation control in the mean square. In addition to that, these results are equally applicable to the discrete-time fractional formation problem without noise. Finally, the example of numerical simulation is given to prove the correctness of the results.

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Section: Introductionmentioning

confidence: 99%

Leader-Following Formation Control for Discrete-Time Fractional Stochastic Multi-Agent Systems by Event-Triggered Strategy

Wu,

Yu,

Ren

2024

Fractal Fract

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Fuzzy adaptive event-triggered distributed control for a class of nonlinear multi-agent systems

Li,

Liu

2023

MBE

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<abstract><p>In this work, we examine an adaptive and event-triggered distributed controller for nonlinear multi-agent systems (MASs). Second, we present a fuzzy adaptive event-triggered distributed control approach using a Lyapunov-based filter and the backstepping recursion technique. Next, the controller and adaptive rule presented guarantee that all tracking errors between the leader and the follower converge in a limited area close to the origin. According to the Lyapunov stability theory, this demonstrates that all other signals inside the closed loop are assured to be semi-globally, uniformly and finally constrained. Finally, simulation tests are conducted to illustrate the effectiveness of the control mechanism.</p></abstract>

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An improved sampled-data control for a nonlinear dynamic positioning ship with Takagi-Sugeno fuzzy model

Zheng,

Su,

Chen

2024

MBE

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<abstract> <p>This article considered the sampled-data control issue for a dynamic positioning ship (DPS) with the Takagi-Sugeno (T-S) fuzzy model. By introducing new useful terms such as second-order term of time, an improved Lyapunov-Krasovskii function (LKF) was constructed. Additionally, the reciprocally convex method is introduced to bound the derivative of LKF. According to the constructed LKF, the sampling information during the whole sampling period was fully utilized, and less conservatism was obtained. Then, the stability condition, robust performance, mode uncertainty and sampled-data controller design were analyzed by means of the linear matrix inequality (LMI). Finally, an example was given to demonstrate the effectiveness of the proposed method.</p> </abstract>

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Leader–follower sliding mode formation control of fractional-order multi-agent systems: A dynamic event-triggered mechanism

Cited by 3 publications

References 35 publications

Leader-Following Formation Control for Discrete-Time Fractional Stochastic Multi-Agent Systems by Event-Triggered Strategy

Leader-Following Formation Control for Discrete-Time Fractional Stochastic Multi-Agent Systems by Event-Triggered Strategy

Fuzzy adaptive event-triggered distributed control for a class of nonlinear multi-agent systems

An improved sampled-data control for a nonlinear dynamic positioning ship with Takagi-Sugeno fuzzy model

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