Adaptive Fault-Tolerant Control for Consensus of Nonlinear Fractional-Order Multi-Agent Systems with Diffusion

Yang, Yuqian; Qi, Qingwen; Hu, Jingyao; Dai, Jiashu; Yang, Chengdong

doi:10.3390/fractalfract7100760

Fractal Fract

2023

DOI: 10.3390/fractalfract7100760

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Adaptive Fault-Tolerant Control for Consensus of Nonlinear Fractional-Order Multi-Agent Systems with Diffusion

Yuqian Yang,

Qingwen Qi,

Jingyao Hu

et al.

Abstract: This paper mainly studies fault-tolerant control for a class of semi-linear fractional-order multi-agent systems with diffusion characteristics, where the actuator fault is considered. The adaptive fault-tolerant control protocol based on the adjacency relationship of agents is firstly designed, which can adjust the coupling gain online through the adaptive mechanism. Using the Lyapunov stability theory, the adaptive fault-tolerant control protocol can drive the agents to achieve consensus for leader-following… Show more

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2024

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Cited by 3 publications

References 39 publications

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Consensus of multi‐agent system with reaction‐diffusion terms and time delays via output‐feedback adaptive boundary control

Wan,

Yan,

et al. 2024

Adaptive Control & Signal

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SummaryMulti‐agent systems (MASs) are widely used in many necessary fields such as cybersecurity, precision agriculture, satellites, and smart grids. In many practical processes, a proportion of states cannot be obtained directly. Therefore, it is desired to design an observer. This article explores the utilization of output‐feedback adaptive control techniques to achieve consensus in MASs based on partial differential equations (PDEs) with reaction‐diffusion terms and time delays. First, in dealing with time‐invariant delays, an observer according to the Luenberger method is proposed to assess the state of agents. Convergence conditions of the estimated states are obtained by employing Lyapunov functions and Wirtinger inequality. Using the obtained estimated states, a boundary adaptive control strategy is proposed to make the error system consensus. The merit of this control method lies in the fact that communication between agents only occurs at the spatial boundary position, not throughout the entire spatial domain, and the parameters of the system can be constantly changed. Consensus criteria of MASs with time‐invariant delays are obtained by using the output‐feedback adaptive control, and the results are further generalized to the model with time‐varying delays. Lastly, two experimental scenarios are provided to show the practicality of the proposed theories.

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Consensus of multi‐agent system with reaction‐diffusion terms and time delays via output‐feedback adaptive boundary control

Wan,

Yan,

et al. 2024

Adaptive Control & Signal

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Fixed-Time Group Consensus Control of Multi-Agent Systems With Actuator Faults Based on Dynamic Event Triggering

Yang,

Li,

Xuan

2024

IEEE Access

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In this paper, we study the fixed-time group consensus problem for second-order multiagent systems under the influence of actuator faults and external disturbances. First, we design a finitetime observer to quickly and accurately evaluate the effects of these disturbances and faults. Then a new non-singular terminal sliding mode surface is constructed, and a fixed-time fault-tolerant controller is designed based on the introduction of a dynamic event-triggering mechanism. The designed control protocol can effectively avoid singular phenomena and compensate and suppress the effects of these faults and disturbance information on the system to achieve fault tolerance. The Lyapunov function is applied to prove that the convergence time of the system is not influenced by the initial value setting, and the Zeno phenomenon is excluded. Finally, the performance of the proposed method is compared with previous methods through numerical simulations to prove its superiority.INDEX TERMS multi-agent system, finite-time observer, fixed-time group consensus, dynamic event triggering

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Fractional calculus in beam deflection: Analyzing nonlinear systems with Caputo and conformable derivatives

Lamamri,

Jebril,

Dahmani

et al. 2024

MATH

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<p>In this paper, our study is divided into two parts. The first part involves analyzing a coupled system of beam deflection type that involves nonlinear equations with sequential Caputo derivatives. The also system incorporates the Caputo derivatives in the initial conditions, which adds a layer of complexity and realism to the problem. We focus on proving the existence of a unique solution for this system, and highlighting the robustness and applicability of fractional derivatives in modeling complex physical phenomena. In the second part of the paper, we employ conformable fractional derivatives, as defined by Khalil, to examine another system consisting of two coupled evolution equations. By the Tanh method, we derive new progressive waves. The connection between these two parts lies in the use of fractional calculus to extend and enhance classical problems.</p>

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Adaptive Fault-Tolerant Control for Consensus of Nonlinear Fractional-Order Multi-Agent Systems with Diffusion

Cited by 3 publications

References 39 publications

Consensus of multi‐agent system with reaction‐diffusion terms and time delays via output‐feedback adaptive boundary control

Consensus of multi‐agent system with reaction‐diffusion terms and time delays via output‐feedback adaptive boundary control

Fixed-Time Group Consensus Control of Multi-Agent Systems With Actuator Faults Based on Dynamic Event Triggering

Fractional calculus in beam deflection: Analyzing nonlinear systems with Caputo and conformable derivatives

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