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Sliding Mode Optimization in Dynamic LTI Systems

Author

Listed:
  • A. Ferrara

    (Università di Pavia)

  • V.I. Utkin

    (Ohio State University)

Abstract

This paper deals with the problem of constrained optimization in dynamic linear time-invariant (LTI) systems characterized by a control vector dimension less than that of the system state vector. The problem consists in designing a control signal capable of generating a system state evolution confined to the feasible region delimited by a number of inequality constraints less than or equal to the number of control vector components, as well as of steering the state trajectory to an equilibrium point where a prespecified cost function depending on the system state is being minimized. The finite-time convergence to a vicinity of order ε of the optimal equilibrium point is proved.

Suggested Citation

  • A. Ferrara & V.I. Utkin, 2002. "Sliding Mode Optimization in Dynamic LTI Systems," Journal of Optimization Theory and Applications, Springer, vol. 115(3), pages 727-740, December.
    • Handle: RePEc:spr:joptap:v:115:y:2002:i:3:d:10.1023_a:1021267517097
    DOI: 10.1023/A:1021267517097
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    Cited by:

    1. Femi Thomas & Ashitha Varghese Thottungal & Mija Salomi Johnson, 2021. "Composite Control of a Hovering Helicopter Based on Optimized Sliding Mode Control," Journal of Optimization Theory and Applications, Springer, vol. 191(2), pages 756-775, December.
    2. Alexander Nazin & Hussain Alazki & Alexander Poznyak, 2023. "Robust Tracking as Constrained Optimization by Uncertain Dynamic Plant: Mirror Descent Method and ASG—Version of Integral Sliding Mode Control," Mathematics, MDPI, vol. 11(19), pages 1-15, September.

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