【作者】 周佩冬； 欧林林； 俞立；

【Author】 ZHOU Peidong,OU Linlin,YU Li College of Information Engineering,Zhejiang University of Technology,Hangzhou 310023,P.R.China

【机构】 浙江工业大学信息工程学院；

【摘要】 针对任意阶次的线性离散时滞系统,本文给出了一种满足多性能指标要求的数字PID控制器设计方法.该方法的设计思想是,利用切比雪夫表达式和根的分布条件,给出能够使闭环控制系统稳定的控制参数集合,然后,基于该控制参数集合,分别确定满足单个性能指标要求的控制参数区域,位于这些区域交集中的控制参数值均能够使得系统达到多性能指标的控制要求.该设计方法的优点在于能够直观、准确地给出满足多性能指标的数字PID控制参数集合,易于工程人员掌握.最后的数值算例验证了本文方法的有效性.更多还原

【Abstract】 A method to design digital PID controller satisfying multiple performance indices is proposed for arbitrary-order linear discrete-time systems with time delay.The design idea of this method is first to present the control parameter set which stabilizes the closed-loop control system by adopting Tchebyshev representation and roots distribution conditions,and then to determine the corresponding parameter region satisfying each performance index on the basis of the resultant stabilizing set of the control parameters.Thus,the parameter values in the intersection of these regions must be the ones which can simultaneously satisfy multiple performance indices according to the demand of control system.The advantage of this approach lies in that it can accurately present the digital PID control parameters meeting multiple performance indices in an intuitive way so that it could be easy for engineers to understand.Finally,a numerical example is presented to show the validity of the proposed method.更多还原