{"title":"开关拓扑下随机多代理系统的动态事件触发模糊最优共识控制","authors":"Ying Xu;Kewen Li;Yongming Li","doi":"10.1109/TFUZZ.2024.3467053","DOIUrl":null,"url":null,"abstract":"This article investigates the problem of data-based distributed fuzzy adaptive optimal consensus control for a class of nonlinear stochastic multiagent systems (MASs) under switching topology. In control design, the stochastic Hamilton–Jacobi–Bellman equation with unknown system dynamics is learned using the integral reinforcement learning (IRL) algorithm. Combining IRL algorithm and critic fuzzy logic systems, a distributed adaptive optimal consensus control strategy is designed based on dynamic event-triggered mechanism. By employing the topology-dependent Lyapunov function and the average dwell-time method in the stability analysis, it is proved that all signals in the closed-loop system are uniformly ultimately bounded in probability, Zeno behavior can be avoided and the closed-loop system is in Nash equilibrium. Finally, a simulation example is given to illustrate the effectiveness of the developed optimal control approach.","PeriodicalId":13212,"journal":{"name":"IEEE Transactions on Fuzzy Systems","volume":"32 12","pages":"6904-6916"},"PeriodicalIF":10.7000,"publicationDate":"2024-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Dynamic Event-Triggered Fuzzy Optimal Consensus Control for Stochastic Multiagent Systems Under Switching Topology\",\"authors\":\"Ying Xu;Kewen Li;Yongming Li\",\"doi\":\"10.1109/TFUZZ.2024.3467053\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This article investigates the problem of data-based distributed fuzzy adaptive optimal consensus control for a class of nonlinear stochastic multiagent systems (MASs) under switching topology. In control design, the stochastic Hamilton–Jacobi–Bellman equation with unknown system dynamics is learned using the integral reinforcement learning (IRL) algorithm. Combining IRL algorithm and critic fuzzy logic systems, a distributed adaptive optimal consensus control strategy is designed based on dynamic event-triggered mechanism. By employing the topology-dependent Lyapunov function and the average dwell-time method in the stability analysis, it is proved that all signals in the closed-loop system are uniformly ultimately bounded in probability, Zeno behavior can be avoided and the closed-loop system is in Nash equilibrium. Finally, a simulation example is given to illustrate the effectiveness of the developed optimal control approach.\",\"PeriodicalId\":13212,\"journal\":{\"name\":\"IEEE Transactions on Fuzzy Systems\",\"volume\":\"32 12\",\"pages\":\"6904-6916\"},\"PeriodicalIF\":10.7000,\"publicationDate\":\"2024-09-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"IEEE Transactions on Fuzzy Systems\",\"FirstCategoryId\":\"94\",\"ListUrlMain\":\"https://ieeexplore.ieee.org/document/10693343/\",\"RegionNum\":1,\"RegionCategory\":\"计算机科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"IEEE Transactions on Fuzzy Systems","FirstCategoryId":"94","ListUrlMain":"https://ieeexplore.ieee.org/document/10693343/","RegionNum":1,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE","Score":null,"Total":0}
Dynamic Event-Triggered Fuzzy Optimal Consensus Control for Stochastic Multiagent Systems Under Switching Topology
This article investigates the problem of data-based distributed fuzzy adaptive optimal consensus control for a class of nonlinear stochastic multiagent systems (MASs) under switching topology. In control design, the stochastic Hamilton–Jacobi–Bellman equation with unknown system dynamics is learned using the integral reinforcement learning (IRL) algorithm. Combining IRL algorithm and critic fuzzy logic systems, a distributed adaptive optimal consensus control strategy is designed based on dynamic event-triggered mechanism. By employing the topology-dependent Lyapunov function and the average dwell-time method in the stability analysis, it is proved that all signals in the closed-loop system are uniformly ultimately bounded in probability, Zeno behavior can be avoided and the closed-loop system is in Nash equilibrium. Finally, a simulation example is given to illustrate the effectiveness of the developed optimal control approach.
期刊介绍:
The IEEE Transactions on Fuzzy Systems is a scholarly journal that focuses on the theory, design, and application of fuzzy systems. It aims to publish high-quality technical papers that contribute significant technical knowledge and exploratory developments in the field of fuzzy systems. The journal particularly emphasizes engineering systems and scientific applications. In addition to research articles, the Transactions also includes a letters section featuring current information, comments, and rebuttals related to published papers.