• 作者： 洪宏基; 劉進賢; 劉德源
• 作者服務機構： 臺灣大學土木工程學研究所
• 中文摘要： 在各個方面皆考慮外在刺激的線性二次最佳控制理論常被認為實際上是不可行的，因為即時控制計算必須利用將來而尚未到來的外在刺激的數據。本文將此困難徹底排除，基於包括外狀態及內狀態的全狀態觀念，提出全狀態LQ最佳控制計算法則。此一理論將外在刺激對結構物的累積效應納入控制律中；因此可認為線性二次最佳控制理論在本文中完全解決。作為例子，本文以全狀態LQ最佳控制理論計算一棟八層樓結構物受地震力作用的響應，並與傳統的線性二次控制理論及瞬時控制理論比較，在樓層位移、加速度、層間剪力、及控制力各方面都得出較好的結果。
• 英文摘要： A genuine linear quadratic (LQ) optimal control considering the effect of external excitation in everyaspect, sometimes referred to as closed-open-loop LQ optimal control in the civil structural controlliterature, has been thought to not be achievable because it needs future data of external excitation. Thisdifficulty is tackled in the present paper, and a control algorithm is presented based on the concept ofthe complete state, which combines the (external) state and the internal state accounting for the accumulatedeffect of excitation on the structure under control. Consequently, in a broad sense, the LQ optimal controlproblem is solved completely, and so-called closed-open-loop LQ optimal control, renamed herein completestate LQ optimal control, is now feasible. An illustrative example of the active control of an eight-storyshear building subjected to seismic excitation is worked out, and comparison with conventional LQ controland the instantaneous optimal control algorithms shows improvement in every response category.
• 中文關鍵字： complete stste LQ optimal control; internal state; LQ system; structural control; optimal control; building; earthquake
• 英文關鍵字： --