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arXiv 2402.12468math.OC
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线性领导-跟随一致性协议中有界扰动的最优抑制:不变椭球方法

Optimal Rejection of Bounded Perturbations in Linear Leader-Following Consensus Protocol: Method Invariant Ellipsoid

Siyuan Wang, Andrey Polyakov, Min Li, Gang Zheng, Driss Boutat

AI总结:

本文将不变椭球方法扩展到领导-跟随一致性问题,在有界扰动下给出最优控制参数的充要条件,使跟随者状态收敛并保持在领导者状态周围的最小不变椭球内。

摘要:

不变椭球方法的目标是在有界外部扰动影响下,最小化线性控制系统的最小不变吸引集。本文将这一方法扩展到领导-跟随一致性问题中。首先,为无扰动的多智能体系统设计线性控制协议。随后,在存在有界扰动的情况下,通过采用类似的线性控制协议,引入一个充分必要条件来推导多智能体系统的最优控制参数,使得跟随者状态收敛并保持在围绕领导者状态的最小不变椭球内。

英文摘要:

The objective of the invariant ellipsoid method is to minimize the smallest invariant and attractive set of a linear control system operating under the influence of bounded external disturbances. In this paper, this method is extended into the leader-following consensus problem. Initially, a linear control protocol is designed for the Multi-agent System without disturbances. Subsequently, in the presence of bounded disturbances, by employing a similar linear control protocol, a necessary and sufficient condition is introduced to derive the optimal control parameters for the MAS such that the state of followers converge and remain in an minimal invariant ellipsoid around the state of the leader.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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