T-S模糊系统输出反馈控制器的稳定性分析与设计

Stability analysis and design of output feedback controllers for Takagi-Sugeno fuzzy systems

中文关键词  T-S模糊系统  反馈控制  系统化设计  稳定性分析  标准模糊分划

英文关键词  T-S fuzzy model  feedback control  systematic design  stability analysis  standard fuzzy partition

中文摘要

      输出反馈控制是T-S模糊控制系统设计的一种重要方法．本文提出了一类由模糊状态观测器和模糊调节器构成的输出反馈控制器稳定性分析和解析设计的新方法．为了减小稳定性分析的保守性和难度,本文充分利用了模糊规则前件变量模糊隶属度函数的结构信息,对前件变量采用标准模糊分划的T-S模糊系统输出反馈控制器进行了研究,获得了一些新的稳定性条件．然后采用平行分布补偿法(PDC)和线性矩阵不等式方法(LMI),研究了该类输出反馈控制器的解析设计方法．通过一个非线性质量块-弹簧-阻尼器系统输出反馈控制器的设计和计算机仿真,验证了本文方法的有效性．

英文摘要

      Output feedback control is an important approach to the design of Takagi-Sugeno (T-S) fuzzy control systems. New stability analysis and analytical design methods of output feedback controllers are proposed for T-S fuzzy systems in this paper. The output feedback controller is constructed with a fuzzy regulator and a fuzzy observer. In order to use the structural information in the rule base to decrease the conservatism of the stability analysis, the standard fuzzy partition (SFP) is employed on the premise variables of T-S fuzzy systems. New stability conditions are also obtained by relaxing the stability conditions derived in previous papers. The concept of parallel distributed compensation (PDC) and linear matrix inequality (LMI) are employed to design an output feedback controller for T-S fuzzy models. The output feedback controller design and simulation results of a nonlinear mass-spring-damper mechanical system show that these methods are effective.