Abstract
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.
Highlights
Regarding industrial process control, it is essential for control systems to meet the technological requirements
Considering linear time invariant (LTI) systems, there has been much research worldwide that has been dedicated to the problem of overshoot
This paper presents the approach for PID-controller tuning providing a non-overshoot step response for a second-order transfer function with interval-given parameters
Summary
It is essential for control systems to meet the technological requirements. In the context of industrial process control, it is worth noting different approaches based on canonical proportional-integral-derivative (PID)-controller design methods. Considering real-world applications, it is varying worth mentioning systems parameters tend to be uncertain, due topractical measurement errors and conditions that of functioning. Regarding systems with interval-given parameters, one of the key techniques for analysis and control and control design is the Kharitonov theorem. Address vertex polynomial polynomial properties for a robust PID-control design, but in many cases, vertex polynomials do not properties for behavior a robust PID-control design, butwith in many cases, vertex polynomials do not indicate indicate all aspects of the system interval-given parameters.
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