基于动态全局模型的模糊控制系统稳定性分析

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．

Stability analysis for fuzzy control system based on dynamic global models

A new method of systematic design and stability analysis for fuzzy control system based 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 from the 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 the closed-up fuzzy control system.A numerical example is given for demonstration of the performance of the method.