Ja. Inaudi et Jm. Kelly, A ROBUST DELAY-COMPENSATION TECHNIQUE BASED ON MEMORY, Earthquake engineering & structural dynamics, 23(9), 1994, pp. 987-1001
This paper addresses the effects of time delay on actively isolated st
ructures subjected to support excitation. A force proportional to the
absolute velocity of the base of the isolated structure applied at the
base of the structure (co-located active damping) is the control sche
me considered. The actuating mechanisms have some non-zero time respon
se. Consequently, if no compensation is provided, the performance of t
he system is worse than that of the ideal delay-free controller. The d
ynamics of the controller-actuator system is modelled by a delay opera
tor on the feedback signal. Time delays producing instability of the c
ontrolled structure are investigated, and the effect of time delay on
the mean square acceleration of the structure subjected to stationary
random excitation is assessed. A delay-compensation technique that req
uires memory of past control actions is proposed and compared with a c
ommonly used compensation technique. By using simple numerical example
s, it is shown that the proposed delay-compensation strategy improves
the performance of the system significantly. The technique is extended
to other models of the actuator dynamics and modified to provide robu
stness to small parameter uncertainties.