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Fuzzy Coefficient of Impulsive Intensity in a Nonlinear Impulsive Control System

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Abstract

Many works on impulsive control theory have considered some constant coefficient of impulsive intensity which, in reality, is not the case. Then, in the recent time, a model in which the coefficient of the impulsive intensity was assumed not to be certain but some \(J\le \beta I\) was proposed. Unfortunately, this was also for some fixed \(\beta \). Hence, the result of this model can only give information about that particular \(\beta \). In actual sense, errors are not fixed as suggested by this recent model but vary under different circumstances. Hence, in this work, a model for infinitely many such (fuzzy) coefficients of impulsive intensity was presented and its effectiveness was demonstrated with some numerical illustrations. This idea tends to give a generalisation of the existing models. The model achieves control in less time than the aforementioned recent model.

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Author information

Authors and Affiliations

  1. Key Laboratory of Intelligent Information Processing and Control, Chongqing Three Gorges University, Wanzhou, 404100, Chongqing, China

    Babatunde Oluwaseun Onasanya

  2. Department of Mathematics, University of Ibadan, Ibadan, Nigeria

    Babatunde Oluwaseun Onasanya

  3. Australian AI Institute, University of Technology Sydney, Ultimo, NSW, 2007, Australia

    Shiping Wen

  4. Chongqing Engineering Research Center of Internet of Things and Intelligent Control Technology, Chongqing Three Gorges University, Wanzhou, 404100, Chongqing, China

    Yuming Feng

  5. School of Computer Science and Engineering, Chongqing Three Gorges University, Wanzhou, 404100, Chongqing, China

    Yuming Feng, Wei Zhang & Jiong Xiong

Authors
  1. Babatunde Oluwaseun Onasanya
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  2. Shiping Wen
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  3. Yuming Feng
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  4. Wei Zhang
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  5. Jiong Xiong
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Correspondence to Yuming Feng.

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This work is supported by Foundation of Chongqing Municipal Key Laboratory of Institutions of Higher Education ([2017]3), Foundation of Chongqing Development and Reform Commission (2017[1007]), and Foundation of Chongqing Three Gorges University.

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Onasanya, B.O., Wen, S., Feng, Y. et al. Fuzzy Coefficient of Impulsive Intensity in a Nonlinear Impulsive Control System. Neural Process Lett 53, 4639–4657 (2021). https://doi.org/10.1007/s11063-021-10614-7

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  • DOI: https://doi.org/10.1007/s11063-021-10614-7

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