随机跳变-切换系统有限时间补偿控制

项目名称： 随机跳变-切换系统有限时间补偿控制

项目编号： No.61304066

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： 沈浩

作者单位： 安徽工业大学

项目金额： 26万元

中文摘要： 本项目针对具有分段不确定转移率的随机Markov跳变-切换时延系统，深入研究系统在三种补偿方式（立即补偿﹑时延补偿﹑预先补偿）下的有限时间静态和动态抗饱和补偿设计问题。在此基础上，分别针对带有有界外部干扰和随机外部干扰（维纳过程）的随机Markov跳变-切换时延系统，采用L2/l2增益分析法﹑采样控制技术和广义伊藤公式等工具，研究它们在分段不确定转移率下的干扰抑制问题。对结果进行仿真实验，检验设计方法的有效性。本项目研究旨在探索建立一套随机Markov跳变-切换系统有限时间抗饱和补偿控制理论，分析饱和非线性对此类系统控制综合的影响，进而提出行之有效的抗饱和补偿控制策略。本项目从跳变转移率﹑时延和饱和入手，运用多种研究方法，是研究跳变系统的前沿性课题。

中文关键词： 随机跳变系统；有限时间稳定性分析；Markov跳变复杂网络；鲁棒控制；semi-Markov过程

英文摘要： For stochastic Markov jumping-switching delayed systems with piecewise-uncertain transition rates/probabilities, this program will study the problems of static/dynamic anti-windup design with three compensation activations (immediate activation, delayed activation, anticipation activation) in depth. Based on these, the disturbance attenuation control problem will be addressed for stochastic Markov jumping-switching delayed systems with the bounded external disturbance and random external disturbance (Wiener process), respectively, by using the tools, such as the L2/l2 gain analysis,sampled-data control and generalized Ito formula. It will give some simulations to show the effectiveness of the proposed methods. The purpose of this project is to explore and establish finite-time compensation control theory of Markov jumping-switching delayed systems, analyze the influence of saturation nonlinearity on the control synthesis of the systems and put forward some effective anti-windup compensation control strategies. This project will begin to analyze transition rates/probabilities, time delays and saturation and various research methods will be used. It is a frontier subject in the field of the study of jumping systems.

英文关键词： Stochastic jumping systems；finite-time stability analysis；Markov jump complex networks；robust control；semi-Markov process