Methodology for Measuring the Real-Time Transfer Function of Dynamic Systems in Operation
DOI:
https://doi.org/10.47187/perspectivas.7.1.241Keywords:
Transfer Function, Dynamic Systems, Delta Signal, Impulse Response, Frequency Analysis, System Stability, Fault Diagnosis, Robust Control, System Identification, DisturbancesAbstract
This paper presents a robust methodology to measure the transfer function of a dynamic system in operation by applying a delta signal as input. The impulse response of the systems is analyzed in the Laplace domain, thus allowing us to obtain key information about their behavior, stability, and performance. A comparative approach is proposed between the nominal transfer function and its measurement to detect faults or deficiencies, evaluating metrics such as gain margin and phase. In addition, a frequency domain analysis is used to identify alterations in the system dynamics. This methodology is useful for diagnosing and maintaining control systems, improving their reliability and robustness against operational variations and structural failures of the system.
References
K. J. Åström and R. M. Murray, Feedback Systems: An Introduction for Scientists and Engineers, Princeton University Press, 2008.
G. F. Franklin, J. D. Powell, and A. Emami-Naeini, Feedback Control of Dynamic Systems, 7th ed., Pearson, 2014.
S. Skogestad and I. Postlethwaite, Multivariable Feedback Control: Analysis and Design, Wiley, 2005.
J. C. Doyle, B. A. Francis, and A. R. Tannenbaum, Feedback Control Theory, Macmillan, 1992.
P. Ioannou and J. Sun, Robust Adaptive Control, Prentice Hall, 1996.
H. K. Khalil, Nonlinear Systems, 3rd ed., Prentice Hall, 2002.
M. V. Kothare, V. Balakrishnan, and M. Morari, "Robust constrained model predictive control using linear matrix inequalities," Automatica, vol. 32, no. 10, pp. 1361–1379, 1996.
Z. Gao and S. X. Ding, "State and disturbance estimator for time-delay systems with application to fault estimation and signal compensation," IEEE Transactions on Signal Processing, vol. 55, no. 12, pp. 5541–5551, 2007.
G. F. Franklin et al., Digital Control of Dynamic Systems, 3rd ed., Prentice Hall, 1997.
R. E. Kalman, "A New Approach to Linear Filtering and Prediction Problems," Journal of Basic Engineering, vol. 82, no. 1, pp. 35–45, 1960.
J. C. Doyle, "Guaranteed Margins for LQG Regulators," IEEE Transactions on Automatic Control, vol. 23, no. 4, pp. 756–757, 1978.
L. Ljung, System Identification: Theory for the User, 2nd ed., Prentice Hall, 1999.
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Copyright (c) 2025 Carlos García Díaz, María del Carmen Santiago Díaz, Ana Claudia Zenteno Vázquez, Judith Pérez Marcial, Raúl Antonio Aguilar Vera, Gustavo Trinidad Rubín Linares
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