Proportional Plus Derivative State Feedback Control of Takagi-Sugeno Fuzzy Singular Fractional Order Systems

被引:2
|
作者
Zhang, Xuefeng [1 ]
Jin, Kaijing [1 ]
机构
[1] Northeastern Univ, Coll Sci, Shenyang 110819, Liaoning, Peoples R China
关键词
Admissibility; fractional order systems; singular systems; Takagi-Sugeno fuzzy systems;
D O I
10.1007/s12555-020-0556-9
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper investigates the fuzzy normalization and stabilization issues of a class of singular fractional order nonlinear systems with order 0 < alpha < 1 based on a singular Takagi-Sugeno fuzzy model. First, we present the admissibility theorem of Takagi-Sugeno fuzzy singular fractional order systems. Next, benefited by that the fuzzy model and the state feedback controllers do not share the same membership functions, a proportional plus derivative state feedback controller is designed, which guarantees the closed-loop system normalized and admissible. Finally, a numerical simulation example is given to illustrate the effectiveness of the proposed method.
引用
收藏
页码:3823 / 3829
页数:7
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