abstract

• This note introduces a geometric approach to devising a modified variant of the conventional Proportional Integral (PI) controller, termed "Proportional Delayed Integral"(PδI). By including an artificial delay in the integral term, we demonstrate that the proposed scheme improves the decay rate attained by the classical PI controller. The analysis involves evaluating the spectral abscissa and employing a geometrical method in both (kp, ki)-plane and (h, ki)-plane. Several numerical examples illustrate the effectiveness of our proposal. © 2024 IEEE.

authors

• González Galván Emilio Jorge
• Méndez Barrios César Fernando Francisco

publication date

• 2024-01-01

published in

• 10th 2024 International Conference on Control, Decision and Information Technologies, CoDIT 2024  Proceedings

keywords

• delay-based controller; Non-minimum phase; PI controller Choquet integral; Convergence of numerical methods; Delay control systems; Three term control systems; Two term control systems; Conventional proportional integrals; Decay rate; Delay-based controller; Geometric approaches; Geometrical methods; Integral terms; Non-minimum phase; Non-minimum phase systems; Proportional integral controllers; Second orders; Proportional control systems

Digital Object Identifier (DOI)

• 10.1109/CoDIT62066.2024.10708290

PubMed ID

start page

• 1849

end page

• 1854

volume

issue