基于动态全局模型的模糊控制系统稳定性分析

来源期刊：中南大学学报(自然科学版)2001年第2期

论文作者：肖晓明 蔡自兴

文章页码：200 - 203

关键词：模糊系统;控制理论;稳定性;变结构

Key words：fuzzy systems; control theory; stability; variable structure

摘    要：针对目前国内外尚缺乏模糊控制系统设计与性能分析的一般方法,研究了基于动态全局模型的模糊控制系统的系统化设计与稳定性分析方法.被控的模糊系统由一组动态模糊状态空间模型表示,该模型可看作是T-S模糊模型的扩展.整个模糊系统的模糊控制器的设计思路是:根据期望的闭环极点找到每一子系统的局部状态反馈控制器,然后由主导局部子系统来构造全局模糊控制器.分析了整个闭环模糊控制系统的稳定性并提出了利用补偿控制来保证该闭环模糊控制系统稳定的新方法.仿真实例验证了所提方法的有效性.该方法为模糊控制系统的设计与性能分析开辟了一条新的途径.

Abstract: Anewmethod of systematic design and stability analysis for fuzzy control systembased on dynamic global models is presented in this paper.The fuzzy system to be controlled is represented by a family of local dynamic fuzzy state space models, which can be recognized as an extension of Takagi-Sugeno′s model. The design of the fuzzy controller for the whole fuzzy system is accomplished, first by finding the local state feedback controllers for each subsystem with the desired closed-up poles, and then by constructing the global controller fromthe dominant local subsystem.The stability of the whole closed-loop fuzzy system is studied and a compensating control is proposed to guarantee the stability of theclosed-up fuzzy control system.A numerical example is given for demonstration of the performance of the method.