Leader-Following Consensus of Discrete-Time Nonlinear Multi-Agent Systems with Asymmetric Saturation Impulsive Control

Qiao Yuan, Guorong Chen (), Yuan Tian (), Yu Yuan, Qian Zhang, Xiaonan Wang and Jingcheng Liu
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Qiao Yuan: Department of Intelligent Technology and Engineering, Chongqing University of Science and Technology, Chongqing 401331, China
Guorong Chen: Department of Intelligent Technology and Engineering, Chongqing University of Science and Technology, Chongqing 401331, China
Yuan Tian: Department of Intelligent Technology and Engineering, Chongqing University of Science and Technology, Chongqing 401331, China
Yu Yuan: Department of Intelligent Technology and Engineering, Chongqing University of Science and Technology, Chongqing 401331, China
Qian Zhang: Department of Intelligent Technology and Engineering, Chongqing University of Science and Technology, Chongqing 401331, China
Xiaonan Wang: Department of Safety Engineering, Chongqing University of Science and Technology, Chongqing 401331, China
Jingcheng Liu: China Academy of Liquor Industry, Luzhou Vocational and Technical College, Luzhou 646608, China

Mathematics, 2024, vol. 12, issue 3, 1-17

Abstract: Impulsive control is an effective approach for coordinating multi-agent systems in practical environments due to its high robustness and low cost. However, impulsive control exhibits characteristics such as high amplitude and rapid variation, potentially presenting threats to the equipment. Additionally, multi-agent systems are constrained by input saturation due to limitations in physical controller structures and information-processing capabilities. These saturation constraints may be asymmetrical. Therefore, it is necessary to consider the saturation constraint when implementing impulsive control, as it can also mitigate the threats posed by the impulse to agents. This paper investigates the leader-following consensus for a class of discrete-time nonlinear multi-agent systems, proposing an asymmetric saturation impulsive control protocol to reduce the energy consumption and damage to the equipment. Regarding the handle of asymmetric saturation, an approach is proposed that eliminates the need for transformation from the asymmetric case to the symmetric case, which retains the saturation function and directly introduces the sector condition to deal with saturation nonlinearity. Furthermore, based on Lyapunov stability theory and matrix theory, sufficient conditions for leader-following consensus in discrete-time nonlinear multi-agent systems under asymmetric saturation impulsive control are established, and the admissible region of the system is estimated. Finally, numerical simulations are provided to verify the validity of the theoretical results.

Keywords: multi-agent systems; consensus; asymmetric saturation; discrete time; impulsive control (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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