A PID controller with desired closed-loop time response and stability margin

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• 英文论文题名：A PID controller with desired closed-loop time response and stability margin
• 论文作者：Xinxin Wang ; Xiaoqiang Yan ; Donghai Li
• 英文论文作者：Xinxin Wang ; Xiaoqiang Yan ; Donghai Li ; School of mechanical engineering ; university of science and technology Beijing ; State Key Lab of Power Systems ; Department of Thermal Engineering ; Tsinghua University
• 年：2017
• 作者机构：School of mechanical engineering, university of science and technology Beijing;State Key Lab of Power Systems, Department of Thermal Engineering, Tsinghua University;
• 英文论文关键词：PID controller ; the desired closed-loop time response ; stability margin
• 会议召开时间：2017-07-26
• 会议录名称：第36届中国控制会议论文集（A）
• 英文会议录名称：Proceedings of the 36th Chinese Control Conference（A）
• 语种：英文
• 分类号：TP273
• 学会代码：KZLL
• 会议名称：第36届中国控制会议
• 会议地点：中国辽宁大连
• 主办单位：中国自动化学会控制理论专业委员会
• 学会名称：中国自动化学会控制理论专业委员会
• 页数：6
• 文件大小：197k
• 原文格式：D
• 会议级别：全国

摘要

In this article, we propose a PID tuning method which can simultaneously guarantee desired closed-loop time response and stability margin. For systems without time-delay, dominant pole placement method is used to guarantee the desired closed-loop time response and generalized-frequency method is adopted to give systems the desired stability margin. For systems with time-delay, however, the desired closed-loop time response and the stability margin are obtained through dominant pole placement method and gain-phase margin test method respectively. To demonstrate the effectiveness and confirm the validity of the proposed methodology, examples are provided for illustration.
In this article, we propose a PID tuning method which can simultaneously guarantee desired closed-loop time response and stability margin. For systems without time-delay, dominant pole placement method is used to guarantee the desired closed-loop time response and generalized-frequency method is adopted to give systems the desired stability margin. For systems with time-delay, however, the desired closed-loop time response and the stability margin are obtained through dominant pole placement method and gain-phase margin test method respectively. To demonstrate the effectiveness and confirm the validity of the proposed methodology, examples are provided for illustration.

引文

[1]Ang,K.H.,G.Chong,and Y.Li,"PID control system analysis,design,and technology",IEEE T CONTR SYST T Vol.13,No.4,2005,pp.559-576.
    [2]K.J Astrom,T.H.,advanced PID Control:ISA,Research Triangle Park,NC,2006.
    [3]Skogestad,S.,"Simple analytic rules for model reduction and PID controller tuning",J PROCESS CONTR Vol.13,No.4,2003,pp.291-309.
    [4]K.J Astrom,T.H.,PID controllers theory design and tuning,second ed.:Instrument Society of America,Research Triangle Park,North Caorlina,1995.
    [5]Wang,Q.,Z.Zhang,K.J.Astrom,and L.S.Chek,"Guaranteed dominant pole placement with PID controllers",J PROCESS CONTR Vol.19,No.2,2009,pp.349-352.
    [6]Li,Y.,A.Sheng,and Q.Qi,"Further results on guaranteed dominant pole placement with PID controllers",Yantai,China,2011,pp.3756-3760.
    [7]Astrom,K.J.,and T.Hagglund,"automatic tuning of simple regulators with specifications on phase and amplitude margins",AUTOMATICA Vol.20,No.5,1984,pp.645-651.
    [8]Khuen Ho,W.,C.Chieh Hang,and L.S.Cao,"Tuning of PID controllers based on gain and phase margin specifications",AUTOMATICA Vol.31,No.3,1995,pp.497-502.
    [9]Xianyong,Y.,Automatic Control for Thermal Process,Second ed.,Beijing:Tsinghua University Press,2008.
    [10]Arrieta,O.,and R.Vilanova,"Simple PID tuning rules with guaranteed Ms robustness achievement",Milano,Italy,2011,pp.12042-12047.
    [11]Chen,B.,Y.Cheng,and C.Lee,"Genetic approach to mixed H2/H optimal PID control",IEEE CONTR SYST MAG Vol.15,No.5,1995,pp.51-60.
    [12]Tang,W.,J.Huang,J.Wu,and Q.Wang,"A PID tuning method based on dominant poles and phase margin",Beijing,China,2010,pp.3402-3405.
    [13]Wang,Y.,"Graphical computation of gain and phase margin specifications-oriented robust PID controllers for uncertain systems with time-varying delay",J PROCESS CONTR Vol.21,No.4,2011,pp.475-488.
    [14]Srivastava,S.,and V.S.Pandit,"A PI/PID controller for time delay systems with desired closed loop time response and guaranteed gain and phase margins",J PROCESS CONTR Vol.37,2016,pp.70-77.
    [15]Katsuhiko,O.,Modern Control Engineering,Fourth ed.:Prentice Hall,2002.