基于极点配置和Pade近似的空调温度控制器的设计
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摘要
空调温度系统的被控对象可以看作一个具有时滞的一阶环节,时滞的存在,降低了温度控制系统的控制品质,甚至使系统不稳定。针对空调温度控制系统中的具有时滞的一阶对象模型,论文提出了一种基于极点配置和Pade近似的PID(Proportion Integral Derivative)控制器的设计新方法。Pade近似是有理函数逼近的一种方法,可以实现系统模型函数的降阶,简化模型。极点配置是一种通过设计反馈控制器,使得闭环传递函数的极点位于期望位置,从而使系统达到期望性能的方法。仿真结果表明,采用极点配置和Pade近似算法的PID控制可以明显改善温度控制系统的控制品质,使控制系统有更好的动态性能和更强的鲁棒性。
The controlled process of air conditioning temperature system can be regarded as a first order plant with time delay. The existence of time delay reduces the control quality of the temperature control system and even makes the system unstable. A new design method of PID controller based on pole assignment and Pade ap-proximation is proposed for the object model with time delay in air conditioning temperature system. Pade ap-proximation is an approximation method of rational function and can reduce the order of system model and sim-plify the model. Pole assignment is an approach to design the feedback controller to make the poles of the closed-loop transfer function stand at the desired location,thereby enabling the system to achieve the desired performance. The simulation results show that the PID control with pole assignment and Pade approximation al-gorithm can improve the control quality of the temperature control system that demonstrates better dynamic per-formance and stronger robustness.
The controlled process of air conditioning temperature system can be regarded as a first order plant with time delay. The existence of time delay reduces the control quality of the temperature control system and even makes the system unstable. A new design method of PID controller based on pole assignment and Pade ap-proximation is proposed for the object model with time delay in air conditioning temperature system. Pade ap-proximation is an approximation method of rational function and can reduce the order of system model and sim-plify the model. Pole assignment is an approach to design the feedback controller to make the poles of the closed-loop transfer function stand at the desired location,thereby enabling the system to achieve the desired performance. The simulation results show that the PID control with pole assignment and Pade approximation al-gorithm can improve the control quality of the temperature control system that demonstrates better dynamic per-formance and stronger robustness.
引文
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[3]THOMPSON R,DEXTER A.A fuzzy decision-making approach to temperature control in air-condition systems[J].Control Engineering Practice,2005,13(6):689-698.
[4]刘长良,马曾辉.Smith预估模型参数仿真分析及多目标优化[J].系统仿真学报,2014,26(8):1706-1712.
[5]MAJHI S,ATHERTON D P.Modified Smith predictor and controller for processes with time delay[J].Control Theory and Applications,2012,146(5):359-366.
[6]LAI C L,HSU P L.Design the remote control system with the time delay estimator and the adaptive Smith predictor[J].Transactions on Industrial Informatics,2010,6(1):73-80.
[7]曹满婷,张秀玲.达林算法的应用研究[J].自动化技术与应用,2001,2(3):5-6.
[8]俞挺,陈应麟.达林算法在管道温度控制中的应用[J].电气自动化,1998,4(6):11-12.
[9]陈杰,陈伟,孙健.多模型自适应控制研究概述[J].系统科学与数学,2014,34(12):1421-1437.
[10]贾超.基于神经网络的多模型自适应控制方法研究[D].北京:北京科技大学,2017.
[11]陈伟.参数不确定系统多模型自适应控制算法研究[D].北京:北京理工大学,2016.
[12]刘满,井元伟.区域极点配置问题的研究方法[J].控制与决策,2015,20(3):241-245.
[13]ABDELAZIZ T H S.Pole assignment of multivariable systems using proportional-derivative state feedback[J].International Journal of Systems Science,2017,48(13):2871-2886.
[14]李学园,彭绍雄,邹强.极点配置控制分析[J].火力与指挥控制,2012,37(8):177-183.
[15]王耀青.鲁棒极点配置方法[J].华中理工大学学报,1994,22(3):56-61.
[16]薛美盛,白东进.基于Pade近似一般形式的MC-PID控制器设计[J].控制工程,2010,17(6):715-718.
[17]叶华,霍健.基于Pade近似的时滞电力系统特征值计算方法[J].电力系统自动化,2013,37(7):25-30.
[18]王学雷,邵惠鹤.一种基于Pade近似的频域辨识与频域模型降阶新方法[J].控制理论与应用,2003,21(6):131-134.
[19]温彩霞,陈天及,孙毅刚.神经元PID在空调机组性能实验室温度控制中的建模与仿真[J].制冷与空调,2010,1(7):31-34.
[20]杨平,邓亮,徐春梅,等.PID控制器参数整定方法及应用[M].北京:中国电力出版社,2016:16-17.