Cascade Super-Twisting Observer for Linear Multiagent Systems without Communication

Pub Date : 2024-06-05 DOI:10.1134/s0012266124020083
V. V. Fomichev, A. I. Samarin
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Abstract

The paper addresses the consensus problem (i.e., the agreement of state vectors) for a multiagent system consisting of identical linear agents. The study focuses on the case where there is no communication between agents, meaning there is no exchange of information, and agent control is achieved through the agents’ own sensors, providing incomplete information about the state vector of the agent and its neighbors, with the information possibly being noisy. To solve this problem, a linear protocol based on observer data for systems under uncertainty is proposed. Cascade observers based on the “super-twisting” method are suggested as such observers. Sufficient conditions are obtained for the existence of a controller where the observation error converges to zero under bounded disturbances. An example illustrating the proposed approach is provided.

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无通信线性多代理系统的级联超扭曲观测器
摘要 本文探讨了由相同线性代理组成的多代理系统的共识问题(即状态向量的一致)。研究的重点是代理之间不存在通信(即不交换信息)的情况,代理控制是通过代理自身的传感器实现的,这些传感器提供了关于代理及其邻居的状态向量的不完整信息,而且这些信息可能是有噪声的。为了解决这个问题,我们提出了一种基于观测器数据的线性协议,用于不确定条件下的系统。在有界干扰条件下,观测误差收敛为零的控制器存在的充分条件。还提供了一个例子来说明所提出的方法。
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