Multilevel control method for vibration control of structures
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摘要: 為有效處理結構參數和激勵荷載不確定等因素的影響,基于相平面分析,提出了一種分級控制法.將相平面劃分成若干局部網格區域,使與被控質點運動狀態對應的任一軌跡點映射到某一局部網格區域.根據對應的網格區域可判定質點的運動趨勢,然后設計出相應的控制力.通過算例研究了一個底層設有主動拉索系統(ATS)的三層剪切型結構的地震反應控制問題,驗證了建議控制律的有效性.數值結果顯示,與無控狀況相比,建議算法可以顯著減少結構的地震反應,同時其控制性能也要略優于線性二次型定常狀態調節器(LQR)控制.Abstract: To deal efficiently with imprecise and uncertain data associated with structural parameters and exciting loads, a multilevel control method was presented for vibration control of structures based on phase plane analysis. The phase plane was divided into many local grid regions, and the trajectory point corresponding to any instantaneous motion state of the controlled mass could be mapped to a grid region. The control force was obtained by distinguishing the motion trend of the controlled mass. Effectiveness of the proposed algorithm was demonstrated through a numerical example which considered a three-storey structure controlled with the active tendon system (ATS) installed in the first storey. Numerical results show that the proposed algorithm results in significant decrease in the seismic response of the structure when compared to the uncontrolled case, and the control performance of the algorithm is also superior to that of the linear quadratic regulator (LQR) algorithm.
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Key words:
- vibration control /
- control algorithm /
- multilevel control /
- active tendon system /
- seismic excitations
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