Active Control of Large Scale Structure Systems under Earthquake Excitations

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A critical review of classical optimal control algorithms is made withrespect to the specific application of structural control under seismic excitations. With the earthquake ground acceleration being the major source of continuous external disturbances, the Riccati closed-loop control does not satisfy the optimal condition. A new instantaneous closed-open-loop optimal control algorithms is proposed herein, which is derived by minimizing the sum of the quadratic time-dependent performance index and the input seismic energy to the structure system. This new control law is developed for providing feasible control algorithms that can easily be implemented for applications to seismic-excited structures.In this report we developed tree optimal control algorithms taking into account the non-linearity of structure system, the dynamic soil-structure interaction effect and the effect of time delay for applying contorol force to the structural system. Subjected to general dynamic loads, these optimal algorithms are simple and reliable for on-line control operations and they are effective for a structural system with base isolation mechanism. We investigate in detal the control efficiency which is affected by the two weighting matrics included in the performance index. Numerical examples are worked out to demonstrate the control efficiency of the proposed control algorithm.