| 应用精细积分法的结构MBC状态方程求解 |
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| 引用本文： | 李宏男,宋建筑.应用精细积分法的结构MBC状态方程求解[J].振动工程学报,2015,28(6). |
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| 作者姓名： | 李宏男 宋建筑 |
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| 作者单位： | 大连理工大学建设工程学部海岸与近海工程国家重点实验室,大连理工大学建设工程学部海岸与近海工程国家重点实验室 |
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| 基金项目： | 国家自然科学基金重大国际合作项目(51261120375)、国家重点基础研究计划(973计划)(2011CB013605)和国家自然科学基金创新研究群体项目(51121005)资助。 |
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| 摘 要： | 基于市场机制控制(Market-Based Control,MBC)属于分散控制,以往求解状态方程都采用差分类的近似,有时由于计算存在较大误差,不能得到结构真实状态的精确响应。精细积分法以其高精度、无条件稳定等优点被广泛的应用。文中引入两种精细积分方法,将精细积分的思想运用到基于市场机制(MBC)控制算法的求解中,推导了两种基于MBC控制状态方程的精细递推格式,大大提高了计算的精度及算法的稳定性,并且比较了两种精细积分方法的优缺点。最后通过算例,说明了采用精细积分方法计算MBC控制的必要性及有效性。
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| 关 键 词： | 基于市场机制控制 精细积分法 加法定理 增量存储 |
| 收稿时间： | 2014/1/13 0:00:00 |
| 修稿时间： | 2015/11/30 0:00:00 |
The precise integration of State Equation of Structures with Market-based Control |
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| LI Hong-nan and SONG Jian-zhu.The precise integration of State Equation of Structures with Market-based Control[J].Journal of Vibration Engineering,2015,28(6). |
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| Authors: | LI Hong-nan and SONG Jian-zhu |
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| Affiliation: | State Key Laboratory of Coastal and Offshore Engineering,Dalian University of Technology,State Key Laboratory of Coastal and Offshore Engineering,Dalian University of Technology |
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| Abstract: | Market-based Control (MBC) belongs to decentralized control. Most of the existing method to solve state equations use differential approximation, which has large errors so that it is hard to obtain the accuracy results. The precise integration has been widely used due to its high accuracy and unconditional stability. In the present study, two precise integration are introduced to MBC computation and the recursive scheme of state equations are derived. This method improve the accuracy and stability, then the advantage as well as disadvantage of the two precise integration have been compared. The necessity and effectiveness of MBC method using precise integration are proved by examples. |
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| Keywords: | MBC strategy Precise computation Addition theorem Incremental storage |
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