Consensus Control of a Class of Lipschitz Nonlinear Systems With Input Delay

Wang Chunyan; Zuo Zongyu; Lin Zongli; Ding Zhengtao

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Consensus Control of a Class of Lipschitz Nonlinear Systems With Input Delay

机译：一类具有输入时滞的Lipschitz非线性系统的一致控制。

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This paper deals with the consensus control design for Lipschitz nonlinear multi-agent systems with input delay. The Artstein-Kwon-Pearson reduction method is employed to deal with the input delay and the integral term that remains in the transformed system is analyzed by using Krasovskii functional. Upon exploring certain features of the Laplacian matrix, sufficient conditions for global stability of the consensus control are identified using Lyapunov method in the time domain. The proposed control only uses relative state information of the agents. The effectiveness of the proposed control design is demonstrated through a simulation study.

机译：本文研究了具有输入延迟的Lipschitz非线性多智能体系统的共识控制设计。使用Artstein-Kwon-Pearson约简方法处理输入延迟，并使用Krasovskii泛函分析转换后系统中剩余的积分项。在探索拉普拉斯矩阵的某些特征之后，在时域中使用Lyapunov方法确定了共识控制全局稳定性的充分条件。建议的控件仅使用代理的相对状态信息。通过仿真研究证明了所提出的控制设计的有效性。

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来源
《Circuits and Systems I: Regular Papers, IEEE Transactions on》 |2015年第11期|2730-2738|共9页
作者
Wang Chunyan; Zuo Zongyu; Lin Zongli; Ding Zhengtao;
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作者单位

Control Systems Centre, School of Electrical and Electronic Engineering, University of Manchester, Manchester, UK;

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正文语种 eng
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关键词
Chua circuit; Lipschitz nonlinearity; consensus control; input delay; multi-agent systems;

机译：Chua电路;Lipschitz非线性;共识控制;输入延迟;多智能体系统;

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1. Consensus disturbance rejection for Lipschitz nonlinear multi-agent systems with input delay: A DOBC approach [J] . Wang Chunyan, Zuo Zongyu, Sun Junyong, Journal of the Franklin Institute . 2017,第1期

机译：具有输入延迟的Lipschitz非线性多主体系统的共识干扰抑制：DOBC方法
2. Robust Script capital L-2 disturbance attenuation for a class of uncertain Lipschitz nonlinear systems with input delay [J] . Zuo Zongyu, Wang Chunyan, Yang Wen, International Journal of Control . 2019,第4a6期

机译：一类不确定的Lipschitz非线性系统具有输入延迟的强大脚本资本L-2干扰衰减
3. Leader-following Consensus of Nonlinear Delayed Multi-agent Systems with Randomly Occurring Uncertainties and Stochastic Disturbances under Impulsive Control Input [J] . Xu Yunjian, Peng Shiguo, Guo Aiyin International Journal of Control, Automation, and Systems . 2018,第2期

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4. Nonlinear observer design for a class of Lipschitz time-delay systems with unknown inputs: LMI approach [C] . Delshad (Iman) Saleh S., Gustafsson Thomas 2011 23rd International Symposium on Information, Communication and Automation Technologies . 2011

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5. Partial Differential Equation Based Control of Nonlinear Systems with Input Delays [D] . Chakraborty, Indrasis. 2017

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7. Consensus disturbance rejection for Lipschitz nonlinear multi-agent systems with input delay: a DOBC approach [O] . Wang, Chunyan, Zuo, Zongyu, Sun, Junyong, 2017

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Consensus Control of a Class of Lipschitz Nonlinear Systems With Input Delay

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