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Open AccessArticle

Overshoot Elimination for Control Systems with Parametric Uncertainty via a PID Controller

1
Department of Automation and Robotics, National Research Tomsk Polytechnic University, 634050 Tomsk, Russia
2
University Administration Services, Tomsk State University of Control Systems and Radioelectronics, 634050 Tomsk, Russia
*
Author to whom correspondence should be addressed.
Symmetry 2020, 12(7), 1092; https://doi.org/10.3390/sym12071092
Received: 3 June 2020 / Revised: 22 June 2020 / Accepted: 28 June 2020 / Published: 1 July 2020
(This article belongs to the Special Issue Information Technologies and Electronics)
One of the key performance requirements for different control systems is non-overshooting step response, so that the controllable value should not overcome the reference value within a transient process. The problem of providing a non-overshooting step response was examined in this paper. Despite much scientific research being dedicated to the overshoot elimination problem, there are little to no results regarding parametric uncertainty for the discussed problem. Consideration of parametric uncertainty, particularly in the form of interval-given parameters, is essential, since in many physical processes, electronic devices and control systems parameter values can be obtained with acceptable error, and they can vary under different conditions. The main result of our research is the development of a proportional-integral-derivative (PID)-controller tuning approach for systems with interval-given parameters that provides a non-overshooting step response for such classes of control systems. This paper investigates analytical conditions and constraints for linear time invariant (LTI) systems in order to have no overshoot, enhances them with respect to parametric uncertainty, and formulates rules for tuning choices of parameters.
Keywords: interval plant; overshoot elimination; PID controller; pole-zero configuration; robust control interval plant; overshoot elimination; PID controller; pole-zero configuration; robust control
MDPI and ACS Style

Tsavnin, A.; Efimov, S.; Zamyatin, S. Overshoot Elimination for Control Systems with Parametric Uncertainty via a PID Controller. Symmetry 2020, 12, 1092.

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