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Admissibility Analysis and Control Synthesis for Polynomial Fuzzy Singular Systems via Line Integral Fuzzy Lyapunov Function

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Advances in Applied Nonlinear Dynamics, Vibration and Control -2021 (ICANDVC 2021)

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 799))

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Abstract

This paper deals with the problems of the admissibility analysis and control synthesis for polynomial fuzzy singular systems. By the help of the line integral Lyapunov function and an equivalent condition for a matrix inequality, a sufficient admissibility criterion of the polynomial fuzzy singular system is obtained. Furthermore, using a simple technique, the desired controller design method is presented in terms of sum-of-squares to avoid solving complex inequalities. Simulation examples are also provided to illustrate the effectiveness of the proposed methods.

This work was supported by the Natural Science Foundation of Heilongjiang Province of China under Grant YQ2019F004.

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Author information

Authors and Affiliations

  1. College of Intelligent Systems Science and Engineering, Harbin Engineering University, Harbin, 150001, Heilongjiang, China

    Yang Yang & Zhiguang Feng

Authors
  1. Yang Yang
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  2. Zhiguang Feng
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Editor information

Editors and Affiliations

  1. Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong

    Xingjian Jing

  2. Shanghai University, Shanghai, Shanghai, China

    Hu Ding

  3. Nanjing University of Aeronautics and Astronautics, Nanjing, Jiangsu, China

    Jiqiang Wang

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© 2022 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

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Yang, Y., Feng, Z. (2022). Admissibility Analysis and Control Synthesis for Polynomial Fuzzy Singular Systems via Line Integral Fuzzy Lyapunov Function. In: Jing, X., Ding, H., Wang, J. (eds) Advances in Applied Nonlinear Dynamics, Vibration and Control -2021. ICANDVC 2021. Lecture Notes in Electrical Engineering, vol 799. Springer, Singapore. https://doi.org/10.1007/978-981-16-5912-6_56

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  • DOI: https://doi.org/10.1007/978-981-16-5912-6_56

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-16-5911-9

  • Online ISBN: 978-981-16-5912-6

  • eBook Packages: EngineeringEngineering (R0)

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