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Synthesis of an Advanced State Feedback Control for Continuous Nonlinear Polynomial Systems

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Book cover Applied Methods and Techniques for Mechatronic Systems

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 452))

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Abstract

In this chapter, the problem of approximate linearization of affine nonlinear control systems by a static state feedback is considered. First of all, we propose an analytical method, based on the development into generalized Taylor series expansions and the Kronecker product tools, in order to simplify the complex implementation of the input-state feedback linearization formalism. Next, to improve the synthesized polynomial feedback control, the genetic algorithm, as an optimization method, is used. Finally, the new approach presented in this work is applied to investigate the control problem of a chemical reactor. Moreover, we prove that the controlled process is locally asymptotically stable in a wide region around the operating point, in the Lyapunov sense.

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Authors and Affiliations

  1. College of Engineering of Hail, University of Hail, Hail, P.O. Box 2440, Kingdom of Saudi Arabia

    Houssem Jerbi

  2. Research Unit MACS High School of Engineering, University of Gabès, Zrig, Gabès, 6029, Tunisia

    Wiem Jebri Jemai

Authors
  1. Houssem Jerbi
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  2. Wiem Jebri Jemai
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Corresponding author

Correspondence to Houssem Jerbi .

Editor information

Editors and Affiliations

  1. Huazhong University of Science and Technology, Wuhan, People's Republic of China

    Lei Liu

  2. University of the West of England, Bristol, United Kingdom

    Quanmin Zhu

  3. Wuhan University of Science and Technology, Wuhan, People's Republic of China

    Lei Cheng

  4. Huazhong University of Science and Technology, Wuhan, People's Republic of China

    Yongji Wang

  5. China University of Petroleum, Qingdao, People's Republic of China

    Dongya Zhao

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Jerbi, H., Jemai, W.J. (2014). Synthesis of an Advanced State Feedback Control for Continuous Nonlinear Polynomial Systems. In: Liu, L., Zhu, Q., Cheng, L., Wang, Y., Zhao, D. (eds) Applied Methods and Techniques for Mechatronic Systems. Lecture Notes in Control and Information Sciences, vol 452. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-36385-6_3

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  • DOI: https://doi.org/10.1007/978-3-642-36385-6_3

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-36384-9

  • Online ISBN: 978-3-642-36385-6

  • eBook Packages: EngineeringEngineering (R0)

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