Jiang Xiangli, Xia Guihua, Feng Zhiguang, Jiang Zhengyi, Wu Zheng-Guang
IEEE Trans Cybern. 2022 Jun;52(6):4547-4558. doi: 10.1109/TCYB.2020.3030037. Epub 2022 Jun 16.
This article, based on dissipativity theory, aims to tackle the consensus tracking issue for Lipschitz nonlinear singular multiagent systems (MASs) with switching topologies and communication delays. Rooted at the leader node, a directed spanning tree is assumed to be contained in the union of all possible interaction graphs. Within the framework of topology switching controlled by a Markov chain, communication delays encountered in the data transmission process are reasonably considered to be time-varying and dependent on Markovian jump modes. By using tools from the stochastic Lyapunov functional technique, algebraic graph theory, and strict (Q,S,R)-α -dissipativity analysis, the consensus controller collecting delayed in-neighboring agents' information is designed to ensure stochastic admissibility and strict dissipativity of the resulting consensus error system. The theoretical analysis is validated by numerical simulations.
本文基于耗散性理论，旨在解决具有切换拓扑和通信延迟的Lipschitz非线性奇异多智能体系统（MASs）的一致性跟踪问题。假设在领导者节点处，所有可能的交互图的并集中包含一棵有向生成树。在由马尔可夫链控制的拓扑切换框架内，合理地将数据传输过程中遇到的通信延迟视为时变的且依赖于马尔可夫跳跃模式。通过使用随机Lyapunov泛函技术、代数图论和严格的（Q，S，R）-α-耗散性分析工具，设计了收集延迟的相邻智能体信息的一致性控制器，以确保所得一致性误差系统的随机容许性和严格耗散性。数值模拟验证了理论分析。
