Department of Control Engineering, Tokyo Institute of Technology, 2-12-1, Oh-Okayama, Meguro-ku, Tokyo, Japan
Abstract:
The bursting phenomenon in a Nussbaum-type regulator is discussed. Its cause is associated with some properties of the equilibrium manifold. A σ-modification factor is introduced, and the resulting equilibrium set is completely characterized using linearization techniques. Local robustness against bounded disturbances is proved by Malkin's Theorem, and verified by simulation.