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In the Impulsive Goodwin's oscillator (IGO), a continuous positive lineartime-invariant (LTI) plant is controlled by an amplitude- andfrequency-modulated feedback into an oscillating solution. Self-sustainedoscillations in the IGO model have been extensively used to portray periodicrhythms in endocrine systems, whereas the potential of the concept as acontroller design approach still remains mainly unexplored. This paper proposesan algorithm to design the feedback of the IGO so that the output of thecontinuous plant is kept (at stationary conditions) within a pre-definedcorridor, i.e. within a bounded interval of values. The presented frameworkcovers single-input single-output LTI plants as well as positive Wiener andHammerstein models that often appear in process and biomedical control. Apotential application of the developed impulsive control approach to a minimalWiener model of pharmacokinetics and pharmacodynamics of a muscle relaxant usedin general anesthesia is discussed.

Output corridor control via design of impulsive Goodwin's oscillator