Delay of a System, Its Natural Period of Oscillation and Performance of the Controlled System: An Approach from Control Theory
The natural period of oscillation is directly related to another of a system’s most essential intrinsic temporal and frequency characteristics: delay. Despite the fact that this link has been well recognised since the middle of the past century and is employed in practise by control engineers, it is noteworthy that it has gotten little attention in academia.
The purpose of this paper is to investigate the interaction between these two parameters, their association with the controlled system’s temporal response, and their impact on the controllers’ calibration rules.
Also presented is a proof of the relationship between delay and natural period of oscillation, based on the behaviour of first-order systems with pure delay and the use of basic linear control tools such as root locus and polynomial algebra.
Even though this research is based on control theory, control technicians and engineers will find it interesting because it describes the basic behaviour of most industrial processes.
Oscar Daniel Chuk
Facultad de Ingeniería, Universidad Nacional de San Juan, San Juan, Argentina.
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