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Fuzzy Controller Design for Discrete-time T-S Fuzzy Systems with Partially Unknown Membership Functions

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Abstract

This paper is concerned with the controller design problem for discrete-time T-S fuzzy systems with partially unknown membership functions. If the membership functions are partially unknown, then the existing stabilization conditions which are based on the parallel distributed compensator (PDC) strategy cannot be applied. To tackle this problem, a new type of fuzzy controller is proposed to close the feedback loop. Based on this new type fuzzy controller, some sufficient stabilization conditions, including membership-function-dependent and independent conditions, are given in the form of LMIs. Finally, two examples are given to illustrate the the effectiveness of the proposed fuzzy controller design approaches.

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Authors and Affiliations

  1. College of Science, Northeastern University, Shenyang, 110004, China

    Guo-Yi Liu & Juan Zhou

Authors
  1. Guo-Yi Liu
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  2. Juan Zhou
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Correspondence to Juan Zhou.

Additional information

Guo-Yi Liu is currently a lecturer with the Northeastern University. His research interests are in the areas of fuzzy control systems.

Juan Zhou received her Ph.D. degree from Northeastern University in 2014. She is currently an associate professor in Northeastern University. Her research interests are in the areas of descriptor systems.

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Liu, GY., Zhou, J. Fuzzy Controller Design for Discrete-time T-S Fuzzy Systems with Partially Unknown Membership Functions. Int. J. Control Autom. Syst. 20, 4050–4058 (2022). https://doi.org/10.1007/s12555-021-0900-8

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  • DOI: https://doi.org/10.1007/s12555-021-0900-8

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