The Oscillations Killer: a Mechanism to Eliminate Undesired Limit Cycles in Nonlinear Systems

In this paper, we present a new mechanism, named the oscillation killer (OSKIL), intended for extinguish limit cycles that may occur as a consequence of: unexpected external disturbances, interactions with the environment, changes in systems set-points and physical parameters, etc. Examples rate from controlled systems with friction, to electrical networks with varying loads and impedances. The proposed mechanisms is shown to be particulary adapted for nonlinear systems displaying a local stable region with a stable limit set outside this local domain. The method is applied to the stick-slip limit cycle elimination in a system with dry friction.