基于Nevanlinna-Pick插值的时滞系统鲁棒控制器设计  

Robust controller design of time delay systems by Nevanlinna-Pick interpolation

作　　者：王常虹[1] 刘斌[1,2] 张玉鹏[3] 宋启闻[4] 曲国瑞[2] 孙巍[5] 

机构地区：[1]哈尔滨工业大学空间控制与惯性技术研究中心,黑龙江哈尔滨150080 [2]东北石油大学电气信息工程学院,黑龙江大庆163318 [3]大庆油田有限责任公司第七采油厂,黑龙江大庆163517 [4]南开大学物理学院,天津300071 [5]哈尔滨工程大学船舶工程学院,黑龙江哈尔滨150001

出　　处：《东北石油大学学报》2012年第4期90-94,10,共5页Journal of Northeast Petroleum University

基　　金：黑龙江省青年科学基金项目(QC2011C043);黑龙江省科学技术基金项目(12511015)

摘　　要：针对时滞系统,提出一种基于Nevanlinna-Pick插值的鲁棒控制器设计方法.它首先通过互质分解得到控制器和灵敏度函数的参数化形式,将控制器的设计转化为灵敏度函数成型;然后利用同伦法求解具有阶次约束的Nevanlin-na-Pick插值问题,从而求得控制器和灵敏度函数.仿真实验结果表明,闭环系统的灵敏度函数由被控对象的非最小相位零点和不稳定极点决定.A novel method of robust controller design for time-delay system is proposed by Nevanlinna-Pick interpolation with degree constraint.Firstly,the parameterizations of the controller and the sensitivity function are obtained in the form of coprime factorization,and the design of the controller can be transformed to the sensitivity function shaping.Secondly,the homotopy is applied to solve the Nevanlinna-Pick interpolation problem with degree constraint for Nevanlinna-Pick interpolation problem.The simulations show that the closed-loop sensitivity function is mainly determined by the non-minimum phase zeros and unstable poles of the plant.

关 键 词：时滞系统 Nevanlinna—Pick插值 同伦法 灵敏度函数 鲁棒控制 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]