MEMBERSHIP FUNCTION DEPENDENT OBSERVER-BASED CONTROLLER DESIGN FOR A T-S FUZZY SYSTEM
参考中译:T-S模糊系统基于隶属函数依赖观测器的控制器设计


          

刊名：Asian Journal of Control: Affiliated with ACPA, the Asian Control Professors' Association
作者：Xie, Wen-Bo（Harbin Univ Sci & Technol, Coll Automat, Harbin 150080, Heilongjiang, Peoples R China）
Wang, Yu-Long（Jiangsu Univ Sci & Technol, Sch Elect & Informat, Zhenjiang 212003, Jiangsu, Peoples R China）
Zhang, Jian（Harbin Inst Technol, Dept Control Sci & Engn, Harbin 150001, Heilongjiang, Peoples R China）
Huang, Ling（Harbin Univ Sci & Technol, Coll Automat, Harbin 150080, Heilongjiang, Peoples R China）
刊号：737C0022
ISSN：1561-8625
出版年：2017
年卷期：2017, vol.19, no.4
页码：1496-1507
总页数：12
分类号：TP13
关键词：Takagi-Sugeno fuzzy system；observer-based controller；membership function；decaying rate
参考中译：Takagi-Sugeno模糊系统；基于观测器的控制器；隶属函数；衰减率
语种：eng
文摘：The problems of observer-based feedback control and stability analysis for a T-S fuzzy system are investigated in this paper. Based on system output variable, a membership function dependent observer and a controller subject to observer errors are constructed to estimate the unknown system state and establish the closed-loop feedback control system. The derived stability criteria, which is not numerically solvable, is converted to a solvable optimization problem. An improved membership function dependent approach is proposed to reduce the conservativeness. The approximated values of membership functions and their derivatives are calculated based on the proposed piecewise-function method. Then, a piecewise decaying rate setting technique is presented to adjust the error convergent speed. A three-rule fuzzy system stability analysis example is given to show the conservativeness reduction effects, while an inverted pendulum cart control process is used to show the effectiveness of the proposed observer-based control scheme.
参考中译：研究了一类T-S模糊系统的基于观测器的反馈控制和稳定性分析问题。基于系统输出变量，构造隶属函数依赖观测器和带观测器误差的控制器，估计未知系统状态，建立闭环反馈控制系统。所导出的稳定性准则不是数值可解的，而是转化为一个可解的最优化问题。为了降低保守性，提出了一种改进的隶属函数依赖方法。基于提出的分段函数法计算隶属度函数及其导数的近似值。在此基础上，提出了分段衰减率设置技术来调整误差收敛速度。给出了一个三规则模糊系统稳定性分析实例，说明了保守性降低的效果，并以倒立摆小车控制过程为例，说明了所提出的基于观测器的控制方案的有效性。



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