Output Corridor Control via Design of Impulsive Goodwin's Oscillator

In the Impulsive Goodwin's oscillator (IGO), a continuous positive linear time-invariant (LTI) plant is con-trolled by an amplitude-and frequency-modulated feedback into an oscillating solution. This paper proposes an algorithm to design the feedback of the IGO so that the output of the contin-uous 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.