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.

中文翻译：

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通过 PID 控制器消除具有参数不确定性的控制系统的过冲

不同控制系统的关键性能要求之一是无超调阶跃响应，因此在瞬态过程中，可控值不应超过参考值。本文研究了提供非过冲阶跃响应的问题。尽管许多科学研究都致力于消除超调问题，但关于所讨论问题的参数不确定性几乎没有或没有结果。参数不确定性的考虑，特别是以区间给定参数的形式，是必不可少的，因为在许多物理过程中，电子设备和控制系统参数值可以获得可接受的误差，并且它们可以在不同条件下变化。我们研究的主要结果是为具有间隔给定参数的系统开发了一种比例积分微分 (PID) 控制器调谐方法，为此类控制系统提供非超调阶跃响应。本文研究了线性时不变 (LTI) 系统的分析条件和约束，以便没有超调，在参数不确定性方面增强它们，并制定参数调整选择的规则。