Robust Control System Based on Traditional PID Control Laws

  • Ivan V. Gogol
  • Olga A. RemizovaEmail author
  • Vladislav V. Syrokvashin
  • Aleksandr L. Fokin
Part of the Studies in Systems, Decision and Control book series (SSDC, volume 260)


The chapter considers a new approach for designing robust control systems based on traditional PID control laws for linear adaptive control systems for SISO objects (single input–single output), with a lag in control in the presence of parametric uncertainty and lag value. The technique of transition from real models of the object to reduced models depending on the influence of the dominant time constant is considered. An algorithm for the synthesis of tuning parameters of regulators based on a compromise between the requirements of speed and coarseness of a closed system is developed. To demonstrate the performance of this method, the main parameters of a traditional PI controller for a real control object with a dominant time constant and without, represented by a mathematical model in the form of a transfer function, and are calculated as examples.


Linear SISO objects Robust control systems PID control laws Predictor Disturbing influence Parametric uncertainty 


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© Springer Nature Switzerland AG 2020

Authors and Affiliations

  • Ivan V. Gogol
    • 1
  • Olga A. Remizova
    • 1
    Email author
  • Vladislav V. Syrokvashin
    • 1
  • Aleksandr L. Fokin
    • 1
  1. 1.Saint-Petersburg State Institute of TechnologySaint-PetersburgRussia

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