| 数字控制系统中有限字长效应的研究 |
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| 引用本文： | 陈连坤,贺允东. 数字控制系统中有限字长效应的研究[J]. 北京交通大学学报(自然科学版), 1988, 0(1) |
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| 作者姓名： | 陈连坤 贺允东 |
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| 作者单位： | 北方交通大学通信与控制工程系，北方交通大学通信与控制工程系 |
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| 摘 要： | 本文推导出了多输入多输出(MIMO)闭环数字控制系统的扩展状态模型,并讨论了此模型的可计算性、可解性与系数矩阵之间的关系;应用基于此模型的扩展状态分析法分析了模数变换器、数模变换器、加法器和乘法器的量化误差对 MIMO 闭环数字控制系统稳态输出值的影响,得到了输出量化噪声的均值、方差和绝对值上界的计算公式;根据这些公式编制了一套计算机分析计算程序;最后本文提出了测量和分析输出量化噪声的方法,通过对实际数字控制系统输出量化噪声的测量和分析,验证了作者提出的分析方法。
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| 关 键 词： | 数字控制系统 有限字长效应 输出量化噪声 扩展状态模型。 |
A Study of Finite Word Length Effects in Digital Control Systems |
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| Chen Liankun,He Yundong. A Study of Finite Word Length Effects in Digital Control Systems[J]. JOURNAL OF BEIJING JIAOTONG UNIVERSITY, 1988, 0(1) |
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| Authors: | Chen Liankun He Yundong |
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| Affiliation: | Chen Liankun;He Yundong |
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| Abstract: | In this paper the expanded state model for multi-input multi- output(MIMO)closed-loop digital control systems is developed, and the relation between the computability,solvability of the model and its coefficient matrixes is also considered.The effects which are individually introduced by quantizations of analog-to -digital converters,digital-to-analog converters,adders and multi- pliers,on steady-state outputs of a MIMO closed-loop digital control sysytem are analysed with the expanded state analysis method based on the model.Formulas with which the mean, variance and absolute value upper bound of the output quan- tization errors can be calculated are obtained.According to these formulas a set of computer analysis and calculation pro- gramms is built up.Finally the method with which the output quantization errors can be measured and analysed is put forword. The method that the authors offer is checked by the measure and analysis results of the output quantization errors in a practice digital control system. |
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| Keywords: | digital control systems the effects of finite word length output quantization errors the expanded state model |
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