一种区间系统的强稳定鲁棒H_∞控制器设计  

Strong stable robust H_∞ controller design for interval system

作　　者：闫哲[1] 贾明昊 高俊山[1] YAN Zhe;JIA Ming-hao;GAO Jun-shan(Department of Automation,Harbin University of Science and Technology,Harbin 150080,China)

机构地区：[1]哈尔滨理工大学自动化学院,黑龙江哈尔滨150080

出　　处：《电机与控制学报》2018年第8期106-112,共7页Electric Machines and Control

基　　金：黑龙江省自然科学基金(F201307)

摘　　要：针对区间系统稳定性分析计算繁琐导致实用性不强的问题,提出一种区间系统强稳定控制器的设计方法。分离系统参数摄动转变成H_∞性能准则问题,用频域参数整定法选择权值函数后设计鲁棒H_∞控制器,将得到的反馈控制器取适当参数摄动并给定一个增益限定因子k,提取控制器与被控对象构成闭环结构的分母多项式,结合Arguon区间不等式组解限定因子k以限制控制器增益范围从而增强稳定性。最后给出基于某区间型电液位置伺服系统的强稳定控制器数值设计实例并仿真。结果表明系统在一定参数摄动和负载25%波动下达到强稳定,3 s内超调量控制在20%以下。Aiming at the problem of interval system stability analysis calculation cumbersome leading to poor practicality,a design method of strong stability controller for interval systems was proposed.The parameter perturbation was decomposed into H-infinite performance criteria and the robust H-infinite controller was designed by selecting the weight function with frequency domain parameter setting method.The resulting feedback controller was given an appropriate parameter perturbation and a gain limit factor k.The denominator polynomial of the closed-loop structure was composed of the extraction controller and the controlled object.Combined with the Arguon interval inequality group,the limiting factor k can be got to limit the gain range of controller enhancing stability.Finally,a numerical example of a strong stability controller based on an interval electro-hydraulic position servo system was given and simulated.The results show that the system achieves strong stability with parameter perturbation and 25%load fluctuation,and the overshoot is controlled below 20%in 3 seconds.

关 键 词：区间系统 强稳定性 控制器设计 Arguon稳定性检验 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]