  In the Impulsive Goodwin's oscillator (IGO), a continuous positive linear
time-invariant (LTI) plant is controlled by an amplitude- and
frequency-modulated feedback into an oscillating solution. Self-sustained
oscillations in the IGO model have been extensively used to portray periodic
rhythms in endocrine systems, whereas the potential of the concept as a
controller design approach still remains mainly unexplored. This paper proposes
an algorithm to design the feedback of the IGO so that the output of the
continuous plant is kept (at stationary conditions) within a pre-defined
corridor, i.e. within a bounded interval of values. The presented framework
covers single-input single-output LTI plants as well as positive Wiener and
Hammerstein models that often appear in process and biomedical control. A
potential application of the developed impulsive control approach to a minimal
Wiener model of pharmacokinetics and pharmacodynamics of a muscle relaxant used
in general anesthesia is discussed.
