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Nonlinear/Linear Switched Control of Inverted Pendulum System: Stability Analysis and Real-Time Implementation

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  • Additional Information
    • Publication Information:
      Hindawi Limited, 2019.
    • Publication Date:
      2019
    • Collection:
      LCC:Engineering (General). Civil engineering (General)
      LCC:Mathematics
    • Abstract:
      This paper treats the problems of stability analysis and control synthesis of the switched inverted pendulum system with nonlinear/linear controllers. The proposed control strategy consists of switching between backstepping and linear state feedback controllers on swing-up and stabilization zones, respectively. First, the backstepping controller is implemented to guarantee the rapid convergence of the pendulum to the desired rod angle from the vertical position. Next, the state feedback is employed to stabilize and maintain the system on the upright position inherently unstable. Based on the quadratic Lyapunov approach, the switching between the two zones is analyzed in order to determine a sufficient domain in which the stability of the desired equilibrium point is justified. A real-time experimentation shows a reduction of 84% of the samples below the classical scheme when using only the backstepping control in the entire operating region. Furthermore, the reduction percentage has become 92% in comparison with the composite linear/linear controller.
    • File Description:
      electronic resource
    • ISSN:
      1024-123X
      1563-5147
      37704354
    • Relation:
      https://doaj.org/toc/1024-123X; https://doaj.org/toc/1563-5147
    • Accession Number:
      10.1155/2019/2391587
    • Rights:
      Journal Licence: CC BY
    • Accession Number:
      edsdoj.60fae377043542ef9506f9782974f66b
  • Citations
    • ABNT:
      AMIRA TIGA; CHEKIB GHORBEL; NACEUR BENHADJ BRAIEK. Nonlinear/Linear Switched Control of Inverted Pendulum System: Stability Analysis and Real-Time Implementation. Mathematical Problems in Engineering, [s. l.], v. 2019, 2019. DOI 10.1155/2019/2391587. Disponível em: http://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edsdoj&AN=edsdoj.60fae377043542ef9506f9782974f66b&custid=s8280428. Acesso em: 10 ago. 2020.
    • AMA:
      Amira Tiga, Chekib Ghorbel, Naceur Benhadj Braiek. Nonlinear/Linear Switched Control of Inverted Pendulum System: Stability Analysis and Real-Time Implementation. Mathematical Problems in Engineering. 2019;2019. doi:10.1155/2019/2391587
    • APA:
      Amira Tiga, Chekib Ghorbel, & Naceur Benhadj Braiek. (2019). Nonlinear/Linear Switched Control of Inverted Pendulum System: Stability Analysis and Real-Time Implementation. Mathematical Problems in Engineering, 2019. https://doi.org/10.1155/2019/2391587
    • Chicago/Turabian: Author-Date:
      Amira Tiga, Chekib Ghorbel, and Naceur Benhadj Braiek. 2019. “Nonlinear/Linear Switched Control of Inverted Pendulum System: Stability Analysis and Real-Time Implementation.” Mathematical Problems in Engineering 2019 (January). doi:10.1155/2019/2391587.
    • Harvard:
      Amira Tiga, Chekib Ghorbel and Naceur Benhadj Braiek (2019) ‘Nonlinear/Linear Switched Control of Inverted Pendulum System: Stability Analysis and Real-Time Implementation’, Mathematical Problems in Engineering, 2019. doi: 10.1155/2019/2391587.
    • Harvard: Australian:
      Amira Tiga, Chekib Ghorbel & Naceur Benhadj Braiek 2019, ‘Nonlinear/Linear Switched Control of Inverted Pendulum System: Stability Analysis and Real-Time Implementation’, Mathematical Problems in Engineering, vol. 2019, viewed 10 August 2020, .
    • MLA:
      Amira Tiga, et al. “Nonlinear/Linear Switched Control of Inverted Pendulum System: Stability Analysis and Real-Time Implementation.” Mathematical Problems in Engineering, vol. 2019, Jan. 2019. EBSCOhost, doi:10.1155/2019/2391587.
    • Chicago/Turabian: Humanities:
      Amira Tiga, Chekib Ghorbel, and Naceur Benhadj Braiek. “Nonlinear/Linear Switched Control of Inverted Pendulum System: Stability Analysis and Real-Time Implementation.” Mathematical Problems in Engineering 2019 (January 1, 2019). doi:10.1155/2019/2391587.
    • Vancouver/ICMJE:
      Amira Tiga, Chekib Ghorbel, Naceur Benhadj Braiek. Nonlinear/Linear Switched Control of Inverted Pendulum System: Stability Analysis and Real-Time Implementation. Mathematical Problems in Engineering [Internet]. 2019 Jan 1 [cited 2020 Aug 10];2019. Available from: http://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edsdoj&AN=edsdoj.60fae377043542ef9506f9782974f66b&custid=s8280428