动态模糊系统的鲁棒稳定性分析与控制器设计

来源期刊：中南大学学报(自然科学版)1999年第4期

论文作者：蔡自兴 肖晓明

文章页码：91 - 94

关键词：TSK模糊系统;鲁棒稳定性;模糊控制器;设计

Key words：TSK fuzzy system; robust stability; fuzzy controller; design

摘    要：稳定性是任何系统正常运作的必备条 件．由于动态模糊系统缺乏通用的稳定性分析方法和工具，作者介绍了一类动态模糊系统──Takagi-Sugeno-Kang(TSK)模糊系统，并推导出被控对象和控制器均由TSK模糊系统描述的闭环控制系统的详尽表达式；然后针对该模糊闭环控制系统分析了其鲁棒稳定 性；最后给出了鲁棒稳定模糊控制器的设计步骤．该分析和设计方法为动态模糊系统的研究提供了一条崭新的思路，将使动态模糊系统的分析和设计更趋成熟．

Abstract: Stability is a necessary condition for any system to run normally. Due to lack of universal stability analysis manner and tools for dynamic fuzzy system, the Takagi-Sugeno-Kang(TSK) fuzzy system has been described first, and the detailed formula of the closed loop system represented by the TSK fuzzy system are derived in this taper. Then, the robust stability of the closed-loop fuzzy system has been analyzed. Finally, a design procedure for stable fuzzy controllers is proposed. This manner of analysis and design exhibits a new way for the study of dynamic fuzzy system, which will improve the analysis and design of dynamic fuzzy system.