模糊变参数系统稳定性分析与镇定

项目名称： 模糊变参数系统稳定性分析与镇定

项目编号： No.61304006

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： 班晓军

作者单位： 哈尔滨工业大学

项目金额： 23万元

中文摘要： 本申请将针对一类特殊非线性时变系统- - 模糊变参数系统，展开稳定性分析以及控制律综合方面的深入研究。旨在针对由模糊变参数系统以及模糊变参数控制律构成的闭环模糊变参数系统，给出系统化地分析平衡点稳定性以及保证闭环系统稳定的控制律综合方法，初步建立起基于模糊变参数系统的控制理论。本申请的研究内容是对现有的T-S模糊控制理论在时变特性方面的一个重要推广，同时也是对线性变参数理论在非线性领域的一个重要推广，结合两者的特点，直接面向非线性时变系统的控制问题，是控制理论与工程领域发展的一个重要方向，具有重要的研究价值。

中文关键词： 模糊变参数系统；线性变参数系统；增益调度控制；模糊控制理论；非线性时变系统

英文摘要： In this proposal, we intend to conduct a comprehensive research on the fuzzy parameter-varying system, which is a special kind of nonlinear time-varying model and can be utilized in dealing with nonlinear time-varying control problems. We aim to set up some conditions and approaches, which can be used in systematically analyzing the stability of the closed-loop system and synthesizing the controllers that can stabilize the closed-loop fuzzy parameter-varying system. Based on the above work, we try to set up the foundational control theory based on the fuzzy parameter-varying systems. This research is a significant extention to the existing T-S fuzzy control theory in terms of its capabiliy in dealing with the time-varying systems and is also an expansion of the linear parameter-varying (LPV) theory as for its capability in coping with nonlinear systems. Therefore, the research in this proposal, directly focusing on the nonlinear time-varying systems, is of great significance both in theory and application and is an improtant research direction in the field of control theory and engineering.

英文关键词： Fuzzy parameter-varying systems；Linear parameter-varying systems；Gain scheduling control；Fuzzy control theory；Nonlinear time-varying systems