基于分数阶PI^λ控制器的单容水箱液位控制  

Level Control of Single Water Tank Based on Fractional-Order PI^λ Controllers

作　　者：蔡国娟[1] 王德进[1] 刘振全[1] 

机构地区：[1]天津科技大学电子信息与自动化学院,天津300222

出　　处：《天津科技大学学报》2011年第4期57-60,共4页Journal of Tianjin University of Science & Technology

基　　金：国家自然科学基金资助项目(60874028)

摘　　要：讨论分数阶PIλ控制器在单容水箱液位控制中的应用问题,给出了一种基于图解稳定性准则的PIλ控制器的设计方法.研究了PIλ控制器的参数稳定域,然后在稳定域内进行系统性能的设计,并提出具体的设计算法.通过Matlab仿真和水箱液位控制系统的实际操作实验,对分数阶PIλ控制器、整数阶PI控制器和常规Ziegler-Nichols参数整定方法进行比较,说明了本文设计方法的有效性和分数阶PIλ控制器的优越性.The application problem of fractional-order PI^λ controller in the level control of single water tank was discussed, and a design method of PI^λ controller was given based on a graphical stability criterion. The parameters stability region of PI^λ controller was first determined, then, the performances of the closed-loop system were considered in the stability region, and a practical design algorithm was proposed also. Via Matlab simulation and the practical control test in the level control of water tank device, the control effects of fractional-order PI^λ control, the conventional PI control and the Ziegler-Nichols tuning rule was compared. The results show the effectiveness of the design approach proposed and the superiority of fractionalorder PI^λ control over the conventional PI control.

关 键 词：分数阶pIλ控制器 水箱液位控制系统 图解稳定性准则 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]