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Performance Guaranteed Consensus Tracking Control of Nonlinear Multiagent Systems: A Finite-Time Function-Based Approach

机译:非线性多算系统的性能保障共识控制:基于有限函数的方法

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摘要

In this article, we study the performance guaranteed consensus tracking problem for a class of high-order nonlinear multiagent systems subject to mismatched uncertainties and external disturbances. We first construct a finite-time function, with which a performance function is introduced that links the convergence time of the relative consensus errors with the neighbor agents. We then introduce two new lemmas that play a virtual role in addressing the consensus stability of closed-loop multiagent system, where a fully distributed adaptive control without using global information of the topology is developed. Different from most existing works for multiagent systems with prescribed performance that can only achieve uniformly ultimately bounded consensus, the proposed control scheme is able to ensure that the consensus errors converge to the pregiven compact sets within preassigned finite time rather than infinite time and the outputs of all the agents track the leader's trajectory asymptotically. Simulation verification also confirms the effectiveness of the proposed approach.
机译:在本文中,我们研究了一类高阶非线性多轴系统,以进行不匹配的不确定因素和外部干扰的绩效保障共识跟踪问题。我们首先构造有限时间的函数,其中引入了一种性能函数,将相对共识误差与邻居代理的收敛时间链接。然后,我们介绍了两个新的lemmas,在解决闭环多层系统的共识稳定性方面发挥了虚拟作用,其中开发了不使用拓扑的全局信息的完全分布式的自适应控制。不同于具有规定性能的多数现有工作的工作,可以只实现统一最终有限的共识,所提出的控制方案能够确保共识错误会聚到预先评估的有限时间内,而不是无限的时间和输出。所有代理都追踪领导者的轨迹渐近。仿真验证还证实了所提出的方法的有效性。

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