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线性时变系统二次最优控制问题的保辛近似求解 被引量:2
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作者 谭述君 钟万勰 《应用数学和力学》 CSCD 北大核心 2007年第3期253-262,共10页
状态空间的最优控制体系是保守的,其近似算法应当保辛.提出了基于分段常值精细积分方法的保辛摄动近似方法,在同一框架下求解了线性时变LQ最优控制中的计算问题,即变系数矩阵Riccati方程和状态反馈方程.该算法是保辛的,具有很好的数值... 状态空间的最优控制体系是保守的,其近似算法应当保辛.提出了基于分段常值精细积分方法的保辛摄动近似方法,在同一框架下求解了线性时变LQ最优控制中的计算问题,即变系数矩阵Riccati方程和状态反馈方程.该算法是保辛的,具有很好的数值稳定性和精度.算例验证了算法的有效性. 展开更多
关键词 线性时变系统 线性二次最优控制 变系数Riccati方程 区段混合能 状态传递矩阵 保辛摄动
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适用于机电波传播的电网框架结构模型 被引量:3
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作者 燕跃豪 毕天姝 杨奇逊 《电网技术》 EI CSCD 北大核心 2014年第7期1879-1884,共6页
传统机电波理论将实际电网建模为整个二维空间的连续体模型,将机电波处理为二维平面波。这与实际电力系统情况不完全相符,因此不能真实反映实际电网中机电波传播的特性及现象。为此提出一种全新的由一维均匀参数段按照电网拓扑关系构建... 传统机电波理论将实际电网建模为整个二维空间的连续体模型,将机电波处理为二维平面波。这与实际电力系统情况不完全相符,因此不能真实反映实际电网中机电波传播的特性及现象。为此提出一种全新的由一维均匀参数段按照电网拓扑关系构建的电网框架结构模型。首先分析了实际电网中机电波传播过程的特征,提出电网边界的无反射性、扰动传播距离与地理距离的非一致性以及电网介质的分层特性。在此基础上,将一维链式电网中发电机转动惯量作用域的概念推广到实际电网,提出沿传播路径逐级对称分布转动惯量的等效化处理方法,从而构建了具有分段均匀参数特征的电网空间框架结构模型。进一步采用状态传递矩阵证明了转动惯量等效处理方法的正确性。最后,在PSD-BPA软件中进行IEEE 14节点系统仿真,验证了所建模型与实际电网模型的等效性。 展开更多
关键词 机电波 非完全反射边界 框架结构模型 转动惯量作用域 状态传递矩阵
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Geometric state transfer method for construction control of a large-segment steel box girder with hoisting installation 被引量:6
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作者 Jin-feng WANG Hua-wei XIANG +2 位作者 Jiang-tao ZHANG Tian-mei WU Rong-qiao XU 《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》 SCIE EI CAS CSCD 2020年第5期382-391,共10页
This paper aims to address the problem of geometric state control of large-segment steel box girders in offshore hoisting during the construction of large-span bridges. First, the geometric state control indexes of a ... This paper aims to address the problem of geometric state control of large-segment steel box girders in offshore hoisting during the construction of large-span bridges. First, the geometric state control indexes of a large-segment steel box girder are determined, such as the manufacturing parameters of the top and bottom slabs, the width of the annular joint, and the support position. Second, the geometric state equations and state transfer matrixes of large-segment steel box girders under different conditions are deduced by taking the mileage and elevation of control points as basic state variables. In application of the geometric state transfer method in the construction control of the Hong Kong-Zhuhai-Macao Bridge, the width of the annular joint and the position parameters for the support of the large-segment steel box girder are predicted precisely. Moreover, the manufacturing parameters of the top and bottom slabs of the steel box girders are calculated reliably. The measured values show that the width of the annular joint is basically the same with the difference of less than 2 mm, the eccentricity of bridge support is less than 20 mm, and the elevation error of the bridge deck is within-10 mm to +15 mm, which meets the construction accuracy. Using the geometric state transfer method, the rapid and accurate installation of the Hong Kong-Zhuhai-Macao Bridge has been realized, demonstrating that the precise control of the geometric state of a steel box girder with ectopic installation and multi-state transition can be realized by using the geometric state transfer method. 展开更多
关键词 Large-segment steel box girder Offshore hoisting Construction control Geometric state Transfer matrix
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