Stabilization of unstable first order linear systems with time delay using a PD controller

Research output: Contribution to conferencePaper

2 Citations (Scopus)

Abstract

This work considers the stabilization problem of a class of unstable first order linear systems with time delay. A methodology is proposed to tune a proportional-derivative (PD) controller. Necessary and sufficient conditions are stated in order to guarantee the stability of the delayed closed loop system. The main motivation for studying this problem arises when checking for systems with a considerable delay. The system performance when using a PID controller is poor because of the integral term. © 2011 IEEE.

Conference

ConferenceCCE 2011 - 2011 8th International Conference on Electrical Engineering, Computing Science and Automatic Control, Program and Abstract Book
Period1/12/11 → …

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Linear systems
Time delay
Stabilization
Derivatives
Controllers
Closed loop systems

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Olvera Olvera, E., Del Muro Cuellar, B., Sánchez García, J. C., & Duchen Sánchez, G. I. (2011). Stabilization of unstable first order linear systems with time delay using a PD controller. Paper presented at CCE 2011 - 2011 8th International Conference on Electrical Engineering, Computing Science and Automatic Control, Program and Abstract Book, . https://doi.org/10.1109/ICEEE.2011.6106669
Olvera Olvera, E. ; Del Muro Cuellar, B. ; Sánchez García, J. C. ; Duchen Sánchez, G. I. / Stabilization of unstable first order linear systems with time delay using a PD controller. Paper presented at CCE 2011 - 2011 8th International Conference on Electrical Engineering, Computing Science and Automatic Control, Program and Abstract Book, .
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Olvera Olvera, E, Del Muro Cuellar, B, Sánchez García, JC & Duchen Sánchez, GI 2011, 'Stabilization of unstable first order linear systems with time delay using a PD controller', Paper presented at CCE 2011 - 2011 8th International Conference on Electrical Engineering, Computing Science and Automatic Control, Program and Abstract Book, 1/12/11. https://doi.org/10.1109/ICEEE.2011.6106669

Stabilization of unstable first order linear systems with time delay using a PD controller. / Olvera Olvera, E.; Del Muro Cuellar, B.; Sánchez García, J. C.; Duchen Sánchez, G. I.

2011. Paper presented at CCE 2011 - 2011 8th International Conference on Electrical Engineering, Computing Science and Automatic Control, Program and Abstract Book, .

Research output: Contribution to conferencePaper

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AB - This work considers the stabilization problem of a class of unstable first order linear systems with time delay. A methodology is proposed to tune a proportional-derivative (PD) controller. Necessary and sufficient conditions are stated in order to guarantee the stability of the delayed closed loop system. The main motivation for studying this problem arises when checking for systems with a considerable delay. The system performance when using a PID controller is poor because of the integral term. © 2011 IEEE.

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Olvera Olvera E, Del Muro Cuellar B, Sánchez García JC, Duchen Sánchez GI. Stabilization of unstable first order linear systems with time delay using a PD controller. 2011. Paper presented at CCE 2011 - 2011 8th International Conference on Electrical Engineering, Computing Science and Automatic Control, Program and Abstract Book, . https://doi.org/10.1109/ICEEE.2011.6106669