Proceeding of International Conference
Yusuke Tone, Hiroyuki Asahara, Tetsushi Ueta, Kazuyuki Aihara, Takuji Kousaka, A Method for the Computation of Border Collision Bifurcation Point in a Piecewise Linear System with Interrupted Characteristics, Proc. NOLTA 2012, pp.828-831, Palma, Spain, Oct. 2012.
Abstract: This paper proposes a simple method for analyzing the border-collision bifurcation point in a piecewise linear interrupted system. First, we show the system dynamics, and then we derive the Poincare map. Next, we explain the method for calculating the border-collision bifurcation point based on the Poincare map approach. Finally, we apply the method to the current mode controlled buck-boost converter. The analysis result will show the validity of the method.