Aseismic Hybrid Control of Nonlinear and Hysteretic Structures I

Abstract

It has been shown recently that a combined use of active and passive control systems, referred to as the hybrid control system, is more effective, beneficial, and practical, in some cases, for reducing the building response under strong earthquakes than an active or passive system used alone. However, the use of hybrid control systems involves active control of nonlinear or hysteretic structural systems. A refined version of the instantaneous optimal control algorithms for nonlinear or hysteretic structural systems is presented herein. The main advantage of the proposed algorithms is that the control vector is determined directly from the measured response state vector without the necessity of tracking a time‐dependent system matrix, as suggested previously. A method of simulating the controlled response of the hysteretic system using the present algorithm is presented. Applications of the control algorithm to various types of aseismic hybrid control systems are emphasized. The performances of various control systems are evaluated and compared numerically, and the advantages of the aseismic hybrid control systems are demonstrated. It is shown that the proposed control algorithm is simple and reliable for on‐line operations and that it is effective for practical applications.