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Robust Stabilization of Interval Plants with Uncertain Time-Delay Using the Value Set Concept

Author

Listed:
  • Pedro Zamora

    (Unidad Académica Multidisciplinaria Reynosa Rodhe, Universidad Autónoma de Tamaulipas, Reynosa 88779, Mexico
    These authors contributed equally to this work.)

  • Alejandro Arceo

    (Unidad Académica Multidisciplinaria Reynosa Rodhe, Universidad Autónoma de Tamaulipas, Reynosa 88779, Mexico
    These authors contributed equally to this work.)

  • Noé Martínez

    (Unidad Académica Multidisciplinaria Reynosa Rodhe, Universidad Autónoma de Tamaulipas, Reynosa 88779, Mexico
    These authors contributed equally to this work.)

  • Gerardo Romero

    (Unidad Académica Multidisciplinaria Reynosa Rodhe, Universidad Autónoma de Tamaulipas, Reynosa 88779, Mexico
    These authors contributed equally to this work.)

  • Luis E. Garza

    (Facultad de Ciencias, Universidad de Colima, Colima 28045, Mexico
    These authors contributed equally to this work.)

Abstract

This paper considers the robust stabilization problem for interval plants with parametric uncertainty and uncertain time-delay based on the value set characterization of closed-loop control systems and the zero exclusion principle. Using Kharitonov’s polynomials, it is possible to establish a sufficient condition to guarantee the robust stability property. This condition allows us to solve the control synthesis problem using conditions similar to those established in the loopshaping technique and to parameterize the controllers using stable polynomials constructed from classical orthogonal polynomials.

Suggested Citation

  • Pedro Zamora & Alejandro Arceo & Noé Martínez & Gerardo Romero & Luis E. Garza, 2021. "Robust Stabilization of Interval Plants with Uncertain Time-Delay Using the Value Set Concept," Mathematics, MDPI, vol. 9(4), pages 1-19, February.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:4:p:429-:d:503462
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    References listed on IDEAS

    as
    1. Alejandro Arceo & Luis E. Garza & Gerardo Romero, 2019. "Robust Stability of Hurwitz Polynomials Associated with Modified Classical Weights," Mathematics, MDPI, vol. 7(9), pages 1-20, September.
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