混杂Lagrange网络系统协调动力学的分析与控制

项目名称： 混杂Lagrange网络系统协调动力学的分析与控制

项目编号： No.11272191

项目类型： 面上项目

立项/批准年度： 2013

项目学科： 数理科学和化学

项目作者： 周进

作者单位： 上海大学

项目金额： 86万元

中文摘要： 本项目以工程中的实际应用问题为驱动,主要研究混杂Lagrange网络系统协调动力学的分析与控制，在申请者近期关于复杂多个体时滞网络系统协调动力学和控制工作的基础上，基于个体的Lagrange动力学结构和特征，通过分析网络的拓扑构形和信息的关联结构，研究在多种约束下网络系统在运动过程中的协同演化机制，探索在通讯时滞,系统参数和网络结构扰动下协调一致性动态行为的稳定性、振荡及分岔等非线性行为。针对在诸如机器人、飞行器及车辆等实际工程应用领域中Lagrange方程的不同表现形式，综合运用一系列混杂控制技术，设计和实施有效的分布反馈控制策略，使之能够应用到诸如机器人协作，飞行器姿态调整，卫星编队等实际工程问题，为所提出的协同控制技术的设计和实现提供新的思想和方法。本项目的研究有助于揭示以Lagrange网络系统为代表的复杂系统的动力学特征及其演化规律，具有重要的科学意义。

中文关键词： 网络化Lagrange系统；混杂动力系统；非线性动力学；协调控制；时滞

英文摘要： Motivated by the addressed problems and its application backgrounds in practical engineering, this project is devoted to analysis and control of coordinated dynamics in hybrid networked Lagrange systems on the basis of our recent work related to coordinated dynamics and control in complex delayed networked multi-agent systems. The main research issues are as follows: Firstly, based on structures and characteristics of agent's Lagrange dynamics, and by analyzing both the configuration of network topologies and the formulation of information communications, we try to explore the cooperative evolution mechanism of networked Lagrange systems with different constraints, and analyze nonlinear dynamical behavior of consensus state of such networks in cooperative evolution process, such as stability, oscillation and bifurcation, etc., in the presence of disturbance of communication delays, system parameters and network structures. Secondly, for different forms of Lagrange equations in practical engineering for instance robots, aircrafts and vehicles, through applying systematically a series of hybrid control technologies, we intend to put forward more effective control strategies of distributed feedback for networked Lagrange system cooperation, and then further to develop and employ a variety of practical engineering p

英文关键词： networked Lagrange systems；hybrid dynamics systems；nonlinear dynamics；coordinated control；time delays