Fixed-time consensus control of stochastic nonlinear multi-agent systems with input saturation using command-filtered backstepping

Yifan Liu; Guozeng Cui; Ze Li; Yifan Liu; Guozeng Cui; Ze Li

doi:10.3934/math.2024718

AIMS Mathematics

2024, Volume 9, Issue 6: 14765-14785. doi: 10.3934/math.2024718

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Research article

Fixed-time consensus control of stochastic nonlinear multi-agent systems with input saturation using command-filtered backstepping

School of Electronic and Information Engineering, Suzhou University of Science and Technology, Suzhou 215009, China

Received: 16 February 2024 Revised: 09 April 2024 Accepted: 15 April 2024 Published: 24 April 2024
MSC : 93B52, 93C42

In this paper, a fixed-time consensus control algorithm is proposed for non-triangular structure stochastic nonlinear multi-agent systems (SNMASs) with input saturation via the command-filtered backstepping design method. Fuzzy logic systems are employed to identify the nonlinear dynamics of each agent. By introducing the fixed-time command filter and constructing the fractional power error compensation mechanism, the "complexity explosion" problem is effectively avoided, and the influence of filtered errors is eliminated in a fixed time. Based on the fixed-time stability theory, it strictly proves that all signals in the closed-loop system are fixed-time bounded in probability, and the consensus error converges to a sufficiently small neighborhood of the origin in probability within a fixed time. Finally, a comparison simulation example verifies the effectiveness and superiority of the proposed fixed-time consensus control strategy.
- fuzzy logic system,
- fixed-time control,
- consensus control,
- command-filtered backstepping,
- SNMASs
Citation: Yifan Liu, Guozeng Cui, Ze Li. Fixed-time consensus control of stochastic nonlinear multi-agent systems with input saturation using command-filtered backstepping[J]. AIMS Mathematics, 2024, 9(6): 14765-14785. doi: 10.3934/math.2024718

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Abstract

In this paper, a fixed-time consensus control algorithm is proposed for non-triangular structure stochastic nonlinear multi-agent systems (SNMASs) with input saturation via the command-filtered backstepping design method. Fuzzy logic systems are employed to identify the nonlinear dynamics of each agent. By introducing the fixed-time command filter and constructing the fractional power error compensation mechanism, the "complexity explosion" problem is effectively avoided, and the influence of filtered errors is eliminated in a fixed time. Based on the fixed-time stability theory, it strictly proves that all signals in the closed-loop system are fixed-time bounded in probability, and the consensus error converges to a sufficiently small neighborhood of the origin in probability within a fixed time. Finally, a comparison simulation example verifies the effectiveness and superiority of the proposed fixed-time consensus control strategy.

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