Two solutions to the servo system problem

Authors

DOI:

https://doi.org/10.29105/ingenierias28.98-967

Keywords:

Servo system, regulation, linear quadratic criterion, linear system

Abstract

Servo system design is a classic problem in control theory. Two approaches to this problem are considered in this work. On the one hand, the problem of servo systems is posed as one of optimal control of the infinite horizon. The well-known solution requires solving a Riccati algebraic equation as well as the corresponding tracking equation (in reverse time). An alternative is presented as a second option, in which part of a regulatory problem approach is started and a pre-compensator is added so that the desired final value of the system output is achieved. The two proposals are compared using an application example.

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Author Biography

Efrain Alcorta Garcia, Universidad Autónoma de Nuevo León

Doctor in Electrical Engineering (automatic control) from the Gerhard Mercator University of Duisburg (Duisburg-Essen), Germany. Bachelor's and master's degrees from the UANL in related topics. Since 1999 he has been a full-time professor in the control department, as well as in the postgraduate course in Electrical Engineering at the Faculty of Mechanical and Electrical Engineering of the UANL. Areas of interest include automatic control and fault-tolerant control. PhD in Electrical Engineering (automatic control) from the Gerhard Mercator University of Duisburg (Duisburg-Essen), Germany. Bachelor's and master's degrees from the UANL in related topics. Since 1999 he has been a full-time professor in the control department, as well as in the postgraduate course in Electrical Engineering at the Faculty of Mechanical and Electrical Engineering of the UANL. Areas of interest include automatic control and fault-tolerant control.

References

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Published

2025-01-31

How to Cite

Alcorta Garcia, E. (2025). Two solutions to the servo system problem. Revista Ingenierías, 28(98), 26–30. https://doi.org/10.29105/ingenierias28.98-967

Issue

Vol. 28 No. 98 (2025): January-June

Section

Artículos

License

Copyright (c) 2025 Efrain Alcorta Garcia

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This work is licensed under a Creative Commons Attribution 4.0 International License.