K. Schlacher et al., NONLINEAR CONTROL OF EARTHQUAKE EXCITED HIGH RAISED BUILDINGS BY APPROXIMATE DISTURBANCE DECOUPLING, Acta mechanica, 125(1-4), 1997, pp. 49-62
This paper deals with a class of hybrid control systems for earthquake
excited high raised buildings which consist of a passive base isolati
on and an additional active damper. The mechanical model of the buildi
ng is a shear wall structure with nonlinear, hysteretic restoring forc
es. The differential geometric approach based on exterior differential
systems is used to solve the disturbance decoupling problem for the m
echanical model. Since the ideal controller is difficult to implement,
a new control law is proposed. It solves the decoupling problem only
approximately but its implementation is simple because only signals ea
sy to measure are used. The stability is proved by means of the theory
of Liapunov in combination with dissipative systems, and it turns out
that the closed loop is robust with respect to all the variations of
practical interest, too. Finally, computer simulations demonstrate the
feasibility and efficiency of the discussed approach.