Abstract

ZALDIVAR-LOPEZ, Román Azel  and  OJEDA-MISSES, Manuel Alejandro. Robustness PI-Posicast Controller for a Second-Order LTI System. Ing. invest. y tecnol. [online]. 2023, vol.24, n.4, 2034.  Epub Nov 28, 2023. ISSN 2594-0732.  https://doi.org/10.22201/fi.25940732e.2023.24.4.027.

This paper presents a controller called the Proportional Integral-Posicast for a second-order linear time-invariant (LTI) system. The PI-Posicast controller consists of a Posicast controller in cascade with a Proportional Integral feedback loop for a second order system. For the tuning of the Proportional Integral Posicast control loop, a study is carried out in the frequency domain using the D-partitions and σ-stability methods. This controller helps to obtain a robustness study, in the frequency domain, it is found a set of bounds that guarantee the robust stability of the closed loop system when the nominal parameters of the underdamped second order system is perturbed. The robustness of the PI-Posicast controller is validated with simulations and mathematically using closed loop system when disturbances are inserted.

Keywords : Posicast; time-delay controller; Proportional Integral (PI) controller; second-order system.

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