Many power converters exhibit chaotic behaviours and bifurcations when conventional feedback corrector are badly tuned or when parameters vary. Time-Delayed Feedback Control (TDFC) can be used to stabilize them using a state feedback delayed by the period of the unstable orbit (UPO) to be stabilized. An obvious advantage of this method is the robustness because it does not require the knowledge of an accurate model but only the period of the target UPO. In this paper, TDFC is applied to a PWM current-programmed single phase inverter concurrently with a proportional corrector in order to avoid bifurcations and chaos and to stabilize the fundamental UPO over a widened range of application. Moreover an improvement of the dynamical performances is realized by defining an adaptive law for the TDFC.
Robert, B., Iu, H., & Feki, M. (2004). Adaptive time-delayed feedback for chaos control in a PWM single phase inverter. Journal of Circuits, Systems, and Computers, 13(3), 519-534. https://doi.org/10.1142/S0218126604001568