| 子结构消元法在结构动力系统奇异控制中的应用 |
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| 引用本文： | 邓子辰,叶天麒, 钟万勰.子结构消元法在结构动力系统奇异控制中的应用[J].航空学报,1994,15(7):787-793. |
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| 作者姓名： | 邓子辰 叶天麒 钟万勰 |
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| 作者单位： | 西北工业大学，大连理工大学工程力学研究所 |
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| 基金项目： | 国家自然科学基金,航空科学青年基金 |
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| 摘 要： | 建立了结构动力系统控制的数学模型,并进行了奇异控制问题的研究。基于计算结构力学与最优控制的模拟关系,给出了奇异条件下时段混合能的定义,进而采用于结构消元的一套方法推导了时段消元凝聚公式,并求解了连续时间奇异控制下的Ｒｉｃｃａｔｉ方程,给出了相应的例题。
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| 关 键 词： | 奇点 控制 黎卡提方程 |
THE APPLICATION OF THE SUBSTRUCTURAL CONDENSATION METHOD IN THE SINGULAR CONTROL OF STRUCTURAL DYNAMICSYSTEM |
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| Deng Zichen,Ye Tianqi.THE APPLICATION OF THE SUBSTRUCTURAL CONDENSATION METHOD IN THE SINGULAR CONTROL OF STRUCTURAL DYNAMICSYSTEM[J].Acta Aeronautica et Astronautica Sinica,1994,15(7):787-793. |
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| Authors: | Deng Zichen Ye Tianqi |
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| Institution: | Faculty 504, Northwestern Polytechnical University,Xi′an,710072;Research Institute of Engineering Mechanics,Dalian University of Technology, Dalian,116023 |
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| Abstract: | The mathematical model of structural dynamic system is established and the singular control problem is studied. Based on the simulation relation between computational structural mechanics and optimal control,the mixed energy of the time-interval with the singular control is defined,the condensation formulas of the time-interval are formulated with the substructural condensation method, and then Riccati equation with the singularity is solved.Acorresponding example is also given. |
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| Keywords: | singularity(mathematics) control Riccati equation |
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