项目名称: 输入/输出时滞系统的分布式控制与稳定性分析
项目编号: No.61203029
项目类型: 青年科学基金项目
立项/批准年度: 2013
项目学科: 自动化学科
项目作者: 王伟
作者单位: 山东大学
项目金额: 24万元
中文摘要: 分布式控制是网络控制领域备受关注的问题,现有研究工作主要集中于无时滞系统的控制理论与方法。本项目拟采用趋同思想和传统控制理论相结合的方法研究离散时滞系统(确定和随机系统)的分布式控制器设计,使其达到或逼近全局最优性能指标。首先利用时滞对偶性原理和趋同算法提出输入时滞系统的分布式控制方法。然后考虑输入时滞随机系统的分布式控制,引入随机系统适应性/因果性极大值原理,得到基于Riccati方程的集中式控制器的解析解,在此基础上利用趋同算法设计分布式控制器,并分析闭环系统的稳定性。最后考虑输入/输出时滞系统的输出反馈控制,利用分离原理将其转化为输入时滞系统分布式控制和输出时滞系统分布式滤波。利用新息分析理论、随机逼近方法设计基于趋同的分布式滤波器,分析稳定和收敛性条件,并揭示这些条件与趋同增益之间的关系。本项目的研究将进一步丰富分布式控制理论,这对网络系统理论的发展具有重要的实际意义和理论价值。
中文关键词: 分布式LQ控制;稳定性分析;输入时滞系统;分布式最优控制器;分布式次优控制器
英文摘要: Distributed control for linear systems is an important issue in the area of networked control. Different from the main works about the distributed control of delay free systems, the input/output delays will be fully considered in this subject. The distributed control problem for systems with input delays will be first investigated and the distributed controller is designed by employing the Krein space theory and the delay duality principle. The distributed control for stochastic systems with input delay will be further investigated. For such problems, the stochastic maximum principle will be introduced and an analytical solution is given based on the Riccati-type equations with the same dimension as the original system. The distributed controller is designed by combining the consensus algorithms and the above proposed analytical solution. The stability of the feedback closed-loop system will also be analyzed. The distributed observation feedback control problem can be divided into two parts in terms of the separate principle: one is the distributed control for systems with input delays, and the other is the distributed filtering for the systems with output delays. For the second part, we will apply the innovation analysis approach and stochastic approximation approach to design the consensus based distributed fi
英文关键词: Distributed LQ Control;Stability Analysis;Input Delayed Systems;Distributed Optimal Controller;Distributed Suboptimal Controller