  In the context of studying periodic processes, this paper investigates first
under which conditions switching affine systems in the plane generate stable
limit cycles. Based on these conditions, a design methodology is proposed by
which the phase portraits of the switching systems are determined to obtain
globally stable limit cycles from simple specifications, such as given
amplitudes and frequencies of desired oscillations. As an application, the
paper finally shows that an oscillator model can be derived with a small effort
from data measured for an unknown oscillating system.

Systems and Control;Systems and Control