Control of delayed systems with two unstable poles using an observer–predictor based strategy

https://doi.org/10.58571/CNCA.AMCA.2025.035

Resumen: This work addresses the problem of stability and control in second-order linear systems with two unstable poles and time delay. For this purpose, an observer–predictor scheme capable of estimating the signal before the delay affects the system is proposed. The estimated signal is used in the control stage to close the loop and design a PID controller for the system without delay. The necessary and sufficient condition that guarantees the existence of parameters that stabilize the proposed scheme is established. Furthermore, it is verified that the control strategy is able to follow step-type references and reject external disturbances of the same type. Finally, the effectiveness of the proposed scheme is verified by means of a simulation example.

¿Cómo citar?

Santamaria, E., Barragan Bonilla, L., Márquez Rubio, J., del Muro Cuéllar, B. & Vázquez Guerra, R. (2025). Control of delayed systems with two unstable poles using an observer–predictor based strategy. Memorias del Congreso Nacional de Control Automático 2025, pp. 202-207. https://doi.org/10.58571/CNCA.AMCA.2025.035

Palabras clave

linear systems, unstable systems, time delay, observer, PID controller.

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