| 用WALSH函数对线性时变系统进行分析和最优控制 |
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| 引用本文： | 王霏. 用WALSH函数对线性时变系统进行分析和最优控制[J]. 北方工业大学学报, 1989, 1(3): 58-63 |
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| 作者姓名： | 王霏 |
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| 作者单位： | 北方工业大学工学部 |
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| 摘 要： | 本文将序率排列的WALSH函数应用于解线性时变状态方程和线性二次型的最优反馈控制上.导出了正向和逆向积分的运算矩阵.给出了状态方程在已知初值、末值或两点边值条件下的解以及矩阵Riccati方程的解.
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| 关 键 词： | 时变系统 最优控制 WALSH函数 |
WALSH FUNCTION APPROACH TO ANALYSIS AND OPTIMAL CONTROL OF LINEAR TIME-VARYING SYSTEMS |
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| Wang Fei. WALSH FUNCTION APPROACH TO ANALYSIS AND OPTIMAL CONTROL OF LINEAR TIME-VARYING SYSTEMS[J]. Journal of North China University of Technology, 1989, 1(3): 58-63 |
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| Authors: | Wang Fei |
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| Affiliation: | Department of Engineering |
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| Abstract: | In this paper walsh functions in sequential order are applied to the solution of linear time-varying ( LTV ) state equations and optimal feedback control of linear system with quadratic performance index. Operational matrices for forward and backward integrations have been derived. Solutions of LTV state equations with given initial condition, end condition or two-point boundary conditions as well as solution of matrix Riccati equation are presented. |
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| Keywords: | time-varying systems optimal control Walsh function |
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