Regular Papers
International Journal of Control, Automation and Systems 2021; 19(11): 3823-3829
Published online July 27, 2021
https://doi.org/10.1007/s12555-020-0556-9
© The International Journal of Control, Automation, and Systems
Proportional Plus Derivative State Feedback Control of Takagi-Sugeno Fuzzy Singular Fractional Order Systems
This paper investigates the fuzzy normalization and stabilization issues of a class of singular fractional order nonlinear systems with order 0 < α < 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.
Keywords Admissibility, fractional order systems, singular systems, Takagi-Sugeno fuzzy systems
PDF
Standard view
Export citation
Share Article
Regular Papers
International Journal of Control, Automation and Systems 2021; 19(11): 3823-3829
Published online November 1, 2021 https://doi.org/10.1007/s12555-020-0556-9
Copyright © The International Journal of Control, Automation, and Systems.
Proportional Plus Derivative State Feedback Control of Takagi-Sugeno Fuzzy Singular Fractional Order Systems
Xuefeng Zhang* and Kaijing Jin
Northeastern University
Abstract
This paper investigates the fuzzy normalization and stabilization issues of a class of singular fractional order nonlinear systems with order 0 < α < 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.
Keywords: Admissibility, fractional order systems, singular systems, Takagi-Sugeno fuzzy systems
Vol. 23, No. 3, pp. 683~972
Stats or Metrics
Share this article on
Related articles in IJCAS
-
State and Output Feedback Controller Design of Takagi-Sugeno Fuzzy Singular Fractional Order Systems
Xuefeng Zhang* and Kaijing Jin
International Journal of Control, Automation and Systems 2021; 19(6): 2260-2268 -
Static Output Feedback H∞ Control for Discrete-time Singular Systems With Structure Constraints
Dongyeop Kang and Chan-eun Park*
International Journal of Control, Automation, and Systems 2025; 23(2): 600-610 -
Observer-based Sliding Mode Control for Fractional Order Singular Fuzzy Systems
Bingxin Li, Xuefeng Zhang, Xiangfei Zhao, Yaowei Liu, and Xin Zhao*
International Journal of Control, Automation, and Systems 2023; 21(9): 2879-2890
