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

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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.

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Authors and Affiliations

  1. College of Sciences, Northeastern University, Shenyang, Liaoning, 110819, China

    Xuefeng Zhang & Kai**g **

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  1. Xuefeng Zhang
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  2. Kai**g **
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Correspondence to Xuefeng Zhang.

Additional information

Recommended by Editor Euntai Kim.

Xuefeng Zhang received his B.Sc. degree in applied mathematics, an M.S. degree in control theory and control engineering, and a Ph.D. degree in control theory and control engineering from Northeastern University, Shenyang, China, in 1989, 2004, and 2008, respectively, where he is currently with the college of Sciences. He has published more than 100 journal and conference papers and 3 books. He is the Associate Editor of IEEE Access and the Committee member of Technical Committee on Fractional and Control of Chinese Association of Automation. His research interests include fractional order control systems and singular systems.

Kai**g ** received her B.Sc. degree in information and computing science from Bohai University in 2018. She is currently pursuing an M.S. degree in operations research and cybernetics with Northeastern University, Shenyang, China, where she is also with the School of Sciences. Her research interests include fractional order systems, Takagi-Sugeno fuzzy systems and singular systems.

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Zhang, X., **, K. Proportional Plus Derivative State Feedback Control of Takagi-Sugeno Fuzzy Singular Fractional Order Systems. Int. J. Control Autom. Syst. 19, 3823–3829 (2021). https://doi.org/10.1007/s12555-020-0556-9

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  • DOI: https://doi.org/10.1007/s12555-020-0556-9

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