Abstract
Temporary and permanent intermittent behavior in a simple adaptive control system are studied based on the existence of invariant manifold and periodic solutions, as well as on averaging theory. The role of self-oscillations, which are periodic solutions of the closed-loop system not directly determined by the external excitation, is enhanced. Self-oscillations may constitute the limit set of intermittent solutions. Intermittency, which may persist with P.E. reference signals, is intimately related to the relative frequency content in the reference and the perturbations. The concepts are illustrated with simulations.
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