Hybrid Control of Earthquake Excited Nonlinear Structures Using Liapunov's Theory
Pan Ying(1),Wang Chao(1),Chen Jianbin(2)
(1,Xi'an Jiaotong University, Xi'an 710049) (2,Tongji University, Shanghai 200433)

Abstract: The paper is concerned with the hybrid control of earthquake excited high raised buildings. The building is modeled as a shear wall type structure with non linear hysteretic restoring forces after the structure enter the period of nonlinearity and plasticity. A passive baseisolation is combined with actuators applied at the basement of the structure. A candidate for Liapunov function is found out based on the theory of energy. A non linear control law is designed following the theory of liapunov, since small residual deformations have to be tolerated due to inelastic energy dissipation, asymptotic stability will not be required, but only stability in the sense of liapunov has to be guarantee. Comp utersimulations demonstrate the efficiency of the proposed control algorithm.
Keywords: high raised buildings, non linear vibration, hysteretic restoring force, hybrid control, stability.