Forced Oscillations in Second Order SISO Systems
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.
KeywordsForced Oscillation Second Order plus Dead Time system relay feedback auto-tuning
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