Vibration damping in simple Hamiltonian systems by parametric control

In recent years, new smart composites have been introduced in the market that open up new possibilities in controlling or sensing flexible structures. The internal properties of these smart or intelligent material can be changed by application of magnetic field (in magneto-strictive material), voltage (in piezoelectric material), or heat (in shape memory alloys). In this paper, we design a feedback control law to damp vibrations in simple mechanical systems by manipulating the internal parameters of the system.