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| Sequential optimal control algorithm for hysteretic smart isolated structures |
| Revised:January 16, 2005 |
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| DOI：10.7511/jslx20071011 |
| KeyWord:vibration control of structures,base isolation,control algorithms,optimal control,smart isolation |
| DU Yong-feng |
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| Abstract: |
| This paper presents a new algorithm for optimal control of hysteretic structures subjected to earthquake excitation.The earthquake signal is discretized into a series of pulse excitation,and the control objective function is reconstructed at each time step.The structure is modeled as Bouc-Wen hysteretic model,and equivalent linearization technique with assumption of zero hysteretic component is used to deal with the nonlinear equation of motion.A new algorithm for optimal control of structural vibration is proposed in time domain based on the idea of sequential optimal control(SOC) which was developed by the auther for linear isolated structures.The SOC for hysteretic smart isolated structure is realized using state transition approach,and two formulae have been derived for both cases of state feedback and output weighted control.An actual isolated building,which was designed by the author's group,has been used as numerical example at the end of the paper,and the control effect of various algorithms is compared with three different earthquake waves.The result shows that the proposed SOC algorithm is advantageous over the degraded classical optimal and instantaneous optimal control algorithms in that the SOC can suppress the peak response more efficiently with less increase of dynamic response in the superstructure, and has a better stability. |
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