T-S模糊控制综述与展望

T-S模糊控制可以处理复杂非线性系统,并已成功地应用于许多工业领域.分别从模型建立、稳定性分析、控制器设计等方面,概述了一型T-S模糊控制和区间二型T-S模糊控制的研究现状,对一型T-S模糊系统、一型T-S模糊多项式系统及区间二型T-S模糊系统分析和设计中的保守性问题进行了全面的分析.探讨了松弛变量法、参数依赖李雅普诺夫法、隶属函数形状依赖法的原理,及其在降低模糊反馈控制器保守性方面的应用.对一型T-S模糊系统的建模、区间二型T-S模糊系统的参数依赖李雅普诺夫设计法等进行了展望.一型T-S模糊多项式系统的输出反馈控制、区间二型T-S模糊时滞系统、区间二型T-S模糊系统的鲁棒控制和模型化简,以及利用硬件实现相关算法,并将提出的方法应用到工程实际,是T-S模糊控制未来的研究方向. 

Overview and Prospect of T-S Fuzzy Control

T-S fuzzy control can deal with complicated nonlinear systems, and has been successfully applied to a lot of industrial fields. From the aspects of modeling, stability analysis, and controller design, the current research status of the type-1 T-S fuzzy control and the interval type-2 T-S fuzzy control are reviewed, with an overall elaboration on the conservativeness issue in analysis and design of type-1 T-S fuzzy systems, type-1 T-S fuzzy polynomial systems, and interval type-2 T-S fuzzy systems. A discussion is also made on the principles of the slack variable approach, the parameter dependent Lyapunov function approach and the membership-function-shape-dependent approach, as well as their applications to reduce conservativeness of the fuzzy feedback controller. In addition, from the aspects of modeling of type-1 T-S fuzzy systems and the parameter dependent Lyapunov function design approach of interval type-2 T-S fuzzy systems, prospects on the T-S fuzzy control are described. The further research directions may include the output feedback control of type-1 T-S fuzzy polynomial systems, the interval type-2 T-S fuzzy systems with time-delays, the robust control and model reduction of interval type-2 T-S fuzzy systems, and the hardware implementation and engineering applications of the proposed approaches.