| 一种新的时变双线性离散系统的分析及参数估计方法 |
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| 引用本文： | 冯恩波,俞金寿,蒋慰孙.一种新的时变双线性离散系统的分析及参数估计方法[J].控制理论与应用,1989,6(2):44-53. |
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| 作者姓名： | 冯恩波 俞金寿 蒋慰孙 |
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| 作者单位： | 华东化工学院自动化研究所 上海
(冯恩波，俞金寿)，华东化工学院自动化研究所 上海(蒋慰孙) |
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| 摘 要： | 本文首先讨论了离散正交脉冲的数及其性质,利用增广离散正交脉冲函数矩阵的换位公式和乘法公式,提出了一种新的时变双线性离散系统的分析和参数估计方法。这种方法,可将差分方程化为代数方程,从而使计算得到简化。实例说明了这种方法的有效性。
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| 关 键 词： | 线性离散系统 正交脉冲函数 参数 |
| 收稿时间： | 1988/4/11 0:00:00 |
| 修稿时间： | 1988/12/30 0:00:00 |
A New Approach for Analysis and Parameter Estimation of Bilinear Time-varying Discrete Systems |
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| Feng Enbo,Yu Jinshou,Jiang Weisun.A New Approach for Analysis and Parameter Estimation of Bilinear Time-varying Discrete Systems[J].Control Theory & Applications,1989,6(2):44-53. |
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| Authors: | Feng Enbo Yu Jinshou Jiang Weisun |
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| Affiliation: | Research Institute of Automatic control, East China University of Chemical Technology |
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| Abstract: | This paper discusses the properties of the discrete pulse orthogonal functions (DPOFS) and defines a new operational matrix called expanded DPOF matrix. An approach for the analysis and parameter estimation of bilinear time-varying discrete system is established and two useful operational rules between expanded DPOF matrices are given. The DPOFs technique in discrete system problem is more convenient and straightforward than other approaches. By taking the new method, analysis and estimation problems of discrete bilinear systems are simplified to the solution of a set of simultaneous algebraic equations. Two examples are given to illustrate the DPOF approach. |
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