On the local optimal control counterforces in active controlled structures

Publisher Summary Active control is one of the promising aspects in recent years that use the control counterforces produced by actuators to balance or reduce the energy of the environmental loading. There are some basic problems in the active control such as control law, magnitude, and location of the control counterforces. This chapter presents a local feedback-feedforward control law to find local optimal magnitude and location of control counterforces to reduce undesired vibrations in active controlled structures. Using information on state response and a part of external excitations, the counterforces are applied to structures in such a way to minimize the local performance index. Numerical simulations are carried out for a two-degree-of-freedom structural system. The comparison between performance indexes shows the effectiveness of local feedback-feedforward control to the classical linear quadratic regulator control.