Abstract
In the relay feedback system shown in Figure ?, when the magnitude of the forcing signal is larger enough, the phenomenon of forced oscillation occurs, that is, the system synchronizes itself automatically with the frequency of the external signal. Forced oscillation behaviors in First Order plus Time Delay system (FOPTD) has been discussed in many papers. But those behaviors in second order plus time delay system (SOPTD) is under discussed. In this paper, with analysis of the conditions of forced oscillation, the minimum magnitude of the external forcing signal for SOPTD system is obtained. Overdamped, underdamped, critically damped systems are discussed separately. Simulation results are given.
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References
Lim, L.H., Loh, A.P., Fu, J.: Estimation of minimum conditions for forced oscillations in relay feedback systems. In: Proceedings of the 5th International Conference on Control and Automation, ICCA 2005, pp. 1262–1267 (2005)
Loh, A.P., Fu, J.: Forced oscillations in First Order Systems. In: Europe Control Conference, UK (September 2003)
Fu, J., Loh, A.P., Wei, Y.Y.: Forced Oscillations Conditions in Relay Feedback Control Systems. In: The Chinese Symposium on Information Science and Technology, CSIST 2010 (2010)
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© 2011 Springer-Verlag Berlin Heidelberg
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Fu, J., Loh, A.P. (2011). Forced Oscillations in Second Order SISO Systems. In: Wan, X. (eds) Electrical Power Systems and Computers. Lecture Notes in Electrical Engineering, vol 99. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21747-0_29
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DOI: https://doi.org/10.1007/978-3-642-21747-0_29
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-21746-3
Online ISBN: 978-3-642-21747-0
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