Robustness of a relaxation oscillator

T.T. Georgiou and M.C. Smith


For a relaxation oscillator which consists of a relay-hysteresis in feedback with negative integral action we prove that the oscillatory behaviour is robust to perturbations in the dynamical component of the feedback loop which are sufficiently small in a gap sense.


George Zames was a mentor and a friend. In our hearts and minds he will always be remembered with warmth and admiration for his generous personality and leadership, and his many contributions to the foundations of modern robust control. To his memory we dedicate this paper.