Action-Reaction based motion and vibration control of multi-degree-of freedom flexible systems

This paper demonstrates the feasibility of using the Action-Reaction principle in order to identify and observe dynamical system parameter and states respectively by considering the instantaneous system´s reaction to an imposed action as a natural feedback from the system. System parameters, dynamics and environmental interaction forces or torques are coupled in this incident natural feedback signal. Therefore, success to determine such natural feedback along with decoupling each of the previous information makes it possible to keep dynamical system free from any attached sensors that in turn implies the possibility of performing motion, vibration and force control assignments through measurement taken from the interface point of the actuator with the dynamical system. Both lumped and distributed flexible system are investigated then experiments are performed on a flexible system with two flexible modes then the possibility of extending the work to systems with infinite modes is discussed.