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arXiv 2009.06236eess.SYcs.SY
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基于一类不稳定系统约束不变集的多智能体系统一致性

Consensus of Multi-agent System via Constrained Invariant Set of a class of Unstable System

Chong Jin Ong, Bonan Hou

摘要:

这项工作显示了一种方法,以实现在多智能体环境中,每个代理的输入约束的异构代理之间的输出共识。代理之间的通信是由一个随时间变化的有向/无向图。该方法是基于著名的内模原理,它使用一个不稳定的参考系统。这项工作的一个主要贡献是最大约束容许不变集(MCAI)的组合代理参考系统的特征。通常,不稳定系统不存在MCAI集。这项工作表明,一类重要的代理参考系统是不稳定的,MCAI存在,可以计算。该MCAI集用于参考总督方法,结合投影共识算法,以实现所有代理的输出共识,同时满足每个代理的约束。最后通过实例说明了该方法。

英文摘要:

This work shows an approach to achieve output consensus among heterogeneous agents in a multi-agent environment where each agent is subject to input constraints. The communication among agents is described by a time-varying directed/undirected graph. The approach is based on the well-known Internal Model Principle which uses an unstable reference system. One main contribution of this work is the characterization of the maximal constraint admissible invariant set (MCAI) for the combined agent-reference system. Typically, MCAI sets do not exist for unstable system. This work shows that for an important class of agent-reference system that is unstable, MCAI exists and can be computed. This MCAI set is used in a Reference Governor approach, combined with a projected consensus algorithm, to achieve output consensus of all agents while satisfying constraints of each. Examples are provided to illustrate the approach.

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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