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Proportional Integral Observer-based Consensus Control of Discrete-time Multi-agent Systems

Renyang You, Mingzhu Tang, Shenghui Guo*, and Guozeng Cui
International Journal of Control, Automation, and Systems, vol. 20, no. 5, pp.1461-1472, 2022

Abstract : The multi-agent consensus control is widely used in industrial application, such as industrial robot, satellite attitude control, etc. Therefore, this paper studies the consensus control problem of multi-agent systems. For discrete-time Lipschitz nonlinear multi-agent systems with unknown inputs, a consensus control algorithm based on proportional integral observer is proposed. Firstly, a proportional integral observer is designed for each subsystem to estimate the system states and unknown input signals simultaneously. Then, a consensus control protocol based on the system state estimation is designed, and H¡Ä technique is used to effectively suppress the unknown input signals. Furthermore, the gain matrices of the observer and consensus control are obtained by solving a linear matrix inequality. Finally, two simulation examples show the correctness and feasibility of the proposed method.

Keyword : "Consensus control, multi-agent systems, proportional integral observer, state estimation, unknown input estimation. "

 
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