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基于分数阶PI~λ控制器的单容水箱液位控制
引用本文:蔡国娟,王德进,刘振全.基于分数阶PI~λ控制器的单容水箱液位控制[J].天津科技大学学报,2011(4):57-60.
作者姓名:蔡国娟  王德进  刘振全
作者单位:天津科技大学电子信息与自动化学院;
基金项目: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.

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

Level Control of Single Water Tank Based on Fractional-Order PI~λControllers
CAI Guo-juan,WANG De-jin,LIU Zhen-quan.Level Control of Single Water Tank Based on Fractional-Order PI~λControllers[J].Journal of Tianjin University of Science & Technology,2011(4):57-60.
Authors:CAI Guo-juan  WANG De-jin  LIU Zhen-quan
Institution:CAI Guo-juan,WANG De-jin,LIU Zhen-quan(College of Electronic Information and Automation,Tianjin University of Science & Technology,Tianjin 300222,China)
Abstract:The application problem of fractional-order PIλ controller in the level control of single water tank was discussed,and a design method of PIλ controller was given based on a graphical stability criterion.The parameters stability region of PIλ 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 PIλ control,the conventional PI control and the Ziegler-Nichols tun-ing rule was compared.The results show the effectiveness of the design approach proposed and the superiority of fractional-order PIλ control over the conventional PI control.
Keywords:fractional-order PIλ controller  level control systems of water tank  graphical stability criterion
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