Stability analysis of an adaptively sampled controller for SISO systems with nonlinear feedback

In this paper, a stability criterion is derived for variable sampled SISO systems where the feedback loop is subject to a sector bounded non-linearity. The new stability criterion is closely related to the well-known circle stability criterion. The main motivation for variable sampling is to reduce communication cost when the feedback is supported by battery driven, energy limited wireless communication links. An energy aware variable sampling control synthesis for heat regulation in a room is also given.