基于Padé近似法的零阶保持器幅频特性仿真
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摘要
针对目前零阶保持器幅频特性只给出理论性的分析,以及一般性的结论,分析较模糊,提出了基于Padé近似法的零阶保持器幅频特性仿真。该方法对零阶保持器的传递函数进行了改进,得到了分子与分母同阶次的有理传递函数。通过MATLAB控制系统工具箱提供的freqs()以及nyquist()函数,绘制了幅频特性曲线以及奈奎斯特图;并对其进行了详细的分析。对零阶保持器幅频特性仿真结果表明:运用该方法得到的结果与理论性分析的结论一致,解决了目前未能清晰直观的展示零阶保持器幅频特性变化的问题,同时零阶保持器具有低通以及相角滞后的特性。
For present the Amplitude-Frequency characteristics of Zero Order Holder only gives theoretical analysis as well as general conclusions and analysis of the fuzzy,the simulation of it based on Padé Approximation was proposed in this paper. The transfer function of Zero Order Holder was improved to give the same order of the numerator and denominator of the rational transfer function by this method. Through freqs and Nyquist functions provided by MATLAB Control System Toolbox,the Amplitude-frequency characteristic curve and Nyquist plot were drawn,and its detailed analysis was also given. The simulation results of the amplitude-frequency characteristics showed that: the conclusion obtained by this method was consistent with the result the theoretical analysis,it solved the question at present that has not been able to maintain clear intuitive display zero order amplitude frequency characteristics change,and zero order holder has characteristics of low-pass filter and phase angle hysteresis.
For present the Amplitude-Frequency characteristics of Zero Order Holder only gives theoretical analysis as well as general conclusions and analysis of the fuzzy,the simulation of it based on Padé Approximation was proposed in this paper. The transfer function of Zero Order Holder was improved to give the same order of the numerator and denominator of the rational transfer function by this method. Through freqs and Nyquist functions provided by MATLAB Control System Toolbox,the Amplitude-frequency characteristic curve and Nyquist plot were drawn,and its detailed analysis was also given. The simulation results of the amplitude-frequency characteristics showed that: the conclusion obtained by this method was consistent with the result the theoretical analysis,it solved the question at present that has not been able to maintain clear intuitive display zero order amplitude frequency characteristics change,and zero order holder has characteristics of low-pass filter and phase angle hysteresis.
引文
1吴麒,王诗宓.自动控制原理(第二版).北京:清华大学出版社,2006:88-91Wu Qi,Wang Shimi.Principle of automatic control(the second edition).Beijing:Tsinghua University Press,2006:88-91
2高玉凯,李楠.基于零阶保持器的非均匀采样信号恢复方法.齐齐哈尔大学学报,2010;5(26):1-4Gao Yukai,Li Nan.Signal reconstruction based on zero-order holder from nonuniform.Journal of Qiqihar University,2010,5(26):1-4
3罗洁,瞿安连.互相关技术中基于零阶保持器的离散冲激响应模型.计算机与数字工程,2012;40(3):34-36Luo Jie,Qu Anlian.A Zero-Order-Hold Based Discrete-time Impulse Response Model in the Cross-correlation Technique.Computer&Digital Engineering,2012;40(3):34-36
4喻娅娅,王印松,许鹏春.数字控制中的保持器与系统稳定性的关系.控制理论与应用,2004;23(11):17-19Yu Yaya,Wang Yinsong,Xu Pengchun.The relation between stability and the hold in the digital control systems.Control Theory and Applications,2004;23(11):17-19
5郭涛.半实物仿真系统中零阶保持器的数字补偿方法.自动化学报,1993;19(2):248-252Guo Tao.A method of digital compensation for the control system of the Simulator.Acta Automatica Sinica,1993;19(2):248-252
6王春侠.零阶保持器频率特性的仿真研究.电气电子教学学报,2012;34(1):40-42Wang Chunxia.Simulation research on the frequency characteristic of zero order holder.Journal of EEE,2012;34(1):40-42
7冯勇.现代计算机控制系统.哈尔滨:哈尔滨工业大学出版社,1997:38-40Feng Yong.The modern computer control system.Harbin:Harbin Industrial University Press,1997:38-40
8胡寿松.自动控制原理(第五版).北京:科学出版社,2007:316-318Hu Shousong.Principle of automatic control(the fifth edition).Beijing:Science Press,2007:316-318
9施宝华,杨三青,周凤星.计算机控制技术.武汉:华中科技大学出版社,2007:15-16Shi Baohua,Yang Sanqing,Zhou Fengxing.The computer control technology.Wuhan:Huazhong University of Science and Technology Press,2007:15-16
10薛定宇.控制系统计算机辅助设计-MATLAB语言及应用.北京:清华大学出版社,1996:176-177Xue Dingyu.Control system computer aided design,and application of MATLAB language.Beijing:Tsinghua University Press,1996:176-177
2高玉凯,李楠.基于零阶保持器的非均匀采样信号恢复方法.齐齐哈尔大学学报,2010;5(26):1-4Gao Yukai,Li Nan.Signal reconstruction based on zero-order holder from nonuniform.Journal of Qiqihar University,2010,5(26):1-4
3罗洁,瞿安连.互相关技术中基于零阶保持器的离散冲激响应模型.计算机与数字工程,2012;40(3):34-36Luo Jie,Qu Anlian.A Zero-Order-Hold Based Discrete-time Impulse Response Model in the Cross-correlation Technique.Computer&Digital Engineering,2012;40(3):34-36
4喻娅娅,王印松,许鹏春.数字控制中的保持器与系统稳定性的关系.控制理论与应用,2004;23(11):17-19Yu Yaya,Wang Yinsong,Xu Pengchun.The relation between stability and the hold in the digital control systems.Control Theory and Applications,2004;23(11):17-19
5郭涛.半实物仿真系统中零阶保持器的数字补偿方法.自动化学报,1993;19(2):248-252Guo Tao.A method of digital compensation for the control system of the Simulator.Acta Automatica Sinica,1993;19(2):248-252
6王春侠.零阶保持器频率特性的仿真研究.电气电子教学学报,2012;34(1):40-42Wang Chunxia.Simulation research on the frequency characteristic of zero order holder.Journal of EEE,2012;34(1):40-42
7冯勇.现代计算机控制系统.哈尔滨:哈尔滨工业大学出版社,1997:38-40Feng Yong.The modern computer control system.Harbin:Harbin Industrial University Press,1997:38-40
8胡寿松.自动控制原理(第五版).北京:科学出版社,2007:316-318Hu Shousong.Principle of automatic control(the fifth edition).Beijing:Science Press,2007:316-318
9施宝华,杨三青,周凤星.计算机控制技术.武汉:华中科技大学出版社,2007:15-16Shi Baohua,Yang Sanqing,Zhou Fengxing.The computer control technology.Wuhan:Huazhong University of Science and Technology Press,2007:15-16
10薛定宇.控制系统计算机辅助设计-MATLAB语言及应用.北京:清华大学出版社,1996:176-177Xue Dingyu.Control system computer aided design,and application of MATLAB language.Beijing:Tsinghua University Press,1996:176-177