abstract

• This paper presents a novel approach to develop a tuning rule for a Proportional-Integral-Retarded (PIR) controller when controlling a second-order system with unstable zeros. Particularly, we address the stability and performance issues that the right-half-plane zeros impose. With this aim, we use the multiplicity-induced-dominance properties to achieve a partial pole placement strategy guaranteeing the stability of the closed-loop system. Through this method, we derive analytical formulas for the parameters of the PIR controller that induce a predefined algebraic multiplicity for a group of real and dom-inant roots, ultimately enhancing system%27s response. Finally, numerical examples and a simulation benchmark conducted on a switched power converter show the effectiveness of the method. © 2024 EUCA.

authors

• Boussaada I.
• Méndez Barrios César Fernando Francisco
• Ramírez A.

publication date

• 2024-01-01

funding provided via

• Consejo Potosino de Ciencia y Tecnología  Grant

published in

• 2024 European Control Conference, ECC 2024  Proceedings

keywords

• Algebra; Closed loop systems; Numerical methods; Two term control systems; Controller tuning; Dominance properties; Non-minimum phase systems; Performance issues; Proportional integral; Right half plane zero; Second orders; Second-order systemss; Stability issues; Tuning rules; Controllers

Digital Object Identifier (DOI)

• 10.23919/ECC64448.2024.10590914

PubMed ID

start page

• 1668

end page

• 1673

volume

issue