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Instantaneous optimal control with acceleration and velocity feedback
Authors:J. N. Yang  Z. Li  
Affiliation:

a Department of Civil Engineering, The George Washington University, Washington, D. C. 20052, USA

b Presently, Department of Civil Engineering, University of California, Irvine, CA 92717, USA

c National Science Foundation, Washington, D. C. 20550, USA

Abstract:In the experimental demonstration of aseismic control systems, difficulties were encountered in the measurement of the displacement response of the structure. During earthquake ground motions, both the building and the ground are moving so that there is no absolute reference for the determination of the displacement response. An optimal control algorithm is proposed herein, which utilizes the measurements of acceleration and velocity responses rather than the displacement and velocity measurements. Such an optimal algorithm is developed based on the instantaneous optimal control theories, and it is evaluated and compared with other available optimal control laws. Numerical results indicate that the performance of the proposed optimal algorithm is as good as that of other optimal control laws currently available. However, the contribution of such an optimal control law to the practical implementation of active control systems for seismic hazard mitigations may be quite significant.
Keywords:structural control   instantaneous optimal control   active control systems   seismic hazard mitigation   acceleration feedback   velocity feedback   deterministic response   stochastic response
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