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Stability Analysis of TS Fuzzy System with State-Dependent Impulses

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Abstract

This paper investigates the stability of TS fuzzy system via state-dependent impulsive control. Based on the Lyapunov stability theory, comparison theorem, and inequality techniques, the sufficient conditions with theoretical demonstration ensuring every solution of concerned models intersect each surface of the discontinuity exactly once are derived. Moreover, by applying B-equivalence method, the state-dependent impulsive TS fuzzy system can be reduced to the fixed-time impulsive ones, which can be analyzed via comparison method and mathematical induction. The control approach guarantees that the proposed state-dependent impulsive TS fuzzy system converge to zero. Finally, two numerical examples are carried out to demonstrate the effectiveness of the obtained results.

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Acknowledgements

Funding was provided by National Natural Science Foundation of China (Grant Nos. 61633011, 61374078), Chongqing Research Program of Basic Research and Frontier Technology (Grant No. cstc2015jcyjBX0052) and Qatar National Research Fund (Grant No. 4-1162-1-181).

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Authors and Affiliations

  1. Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing, College of Electronic and Information Engineering, Southwest University, Chongqing, 400715, China

    Shiju Yang & Chuandong Li

  2. Texas A&M University at Qatar, Doha, 23874, Qatar

    Tingwen Huang

  3. Department of Computer Science & IT, Ghazi University, D. G. Khan, 32260, Pakistan

    Hafiz Gulfam Ahmad

Authors
  1. Shiju Yang
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  2. Chuandong Li
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  3. Tingwen Huang
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  4. Hafiz Gulfam Ahmad
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Correspondence to Chuandong Li.

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Yang, S., Li, C., Huang, T. et al. Stability Analysis of TS Fuzzy System with State-Dependent Impulses. Neural Process Lett 47, 403–426 (2018). https://doi.org/10.1007/s11063-017-9657-8

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  • DOI: https://doi.org/10.1007/s11063-017-9657-8

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