基于能量约束的分数阶多智能体系统的一致性性能分析

项目名称： 基于能量约束的分数阶多智能体系统的一致性性能分析

项目编号： No.61304162

项目类型： 青年科学基金项目

立项/批准年度： 2014

项目学科： 自动化技术、计算机技术

项目作者： 王宝贤

作者单位： 三峡大学

项目金额： 25万元

中文摘要： 针对多智能体系统复杂的分数运行环境及智能体节点通讯受通信约束和有限能量约束，基于分数阶微分算子的记忆功能和遗传特性，本项目以分数阶多智能体系统为研究对象，研究融合通信参量的分数阶多智能体系统建模、动态性能及权衡设计问题，为多智能体系统在分数环境中的应用提供理论指导。主要内容包括：（1）基于时延与通信噪声的频域特性，建立反映通信参量的分数阶多智能体系统模型；（2）基于频域控制理论和Youla参数化理论研究系统的一致性性能极限，给出智能体特性、网络拓扑和通信参量等因素与一致性性能极限值的定量关系描述；（3）采用最优化控制理论分析控制能量约束的权衡优化设计问题，给出一致性性能与有限能量的权衡设计准则。其成果旨在进一步拓宽复杂系统研究内容，为加快分数阶微积分理论和复杂系统研究成果在物理、工程学等众多领域的广泛应用提供理论指导和技术支持，具有重要的科学意义和应用价值。

中文关键词： 性能分析；控制系统；通信参量；权衡性能；分数阶

英文摘要： The complex fractional operating environment of the multi-agent system, the communication constraints and the finite energy of agents should be considered. Based on the memory function and genetic characteristics of the fractional-order differential operator, in this project, the problems of modeling, dynamical performance analysis and the tradeoff design problem of the fractional-order multi-agent system with communication parameters are studied. These research results will provide the theoretical guidance for the application of multi-agent system in the fractional environment. The main results will include, (1) Based on the frequency domain characteristics of delay and communication noise, the fractional-order multi-agent system model with communication parameters will be established; (2) the consensus performance limitations will be discussed by employing the frequency control theory and Youla parameterization theory, and the quantitative relationship description between the consensus performance limitations and the factors such as the agent characteristics, network topology, communication parameters etc. will be presented; (3) the tradeoff optimization with the energy constraints will be studied by adopting the optimal control theory to obtain a tradeoff design criterion between the consensus performance and

英文关键词： performance analysis；control system；communication parameter；trade-off performance；fractional order