Analytical Structures of Typical Takagi-Sugeno Fuzzy PID Gain Scheduling Controllers

作     者：丁永生 任立红 邵世煌 

作者机构：China Textile Univ Shanghai China 

出 版 物：《Journal of China Textile University(English Edition)》 (J China Text Univ Engl Ed)

年 卷 期：1999年第16卷第3期

页      面：5-9页

核心收录：

学科分类：0711[理学-系统科学] 07[理学] 08[工学] 070105[理学-运筹学与控制论] 081101[工学-控制理论与控制工程] 071101[理学-系统理论] 0811[工学-控制科学与工程] 0701[理学-数学] 

基　　金：Supported by the National Science Foundation(Grant No.69874038) 

主　　题：Analytical structure TS fuzzy controllers PID controllers Gain scheduling controllers . 

摘      要：The analytical structure of a class of typical Takagi Sugeno (TS) fuzzy controllers is revealed in this *** TS fuzzy controllers consist of three or more trapezoidal input fuzzy sets, Zadeh fuzzy logic AND operator,fuzzy rules with linear consequent, and the centriod defuzzifier. The TS fuzzy controllers are proved to be accurately nonlinear PID controllers with gains continuously changing with process output. The analytical expressions of the variable gains of the TS fuzzy controllers are derived and their mathematical characteristics including the bounds and geometrical shape of the gain variation are analyzed. The resulting explicit structures show that the TS fuzzy controllers are inherently nonlinear PID gain scheduling controllers with variable gains in different regions of input space.