分数阶PI^λD^μ控制器控制性能的研究  

The Investigation of Control Performance of Fractional - order PI^λD^μ Controller

作　　者：严慧[1] 刘坤[2] 汪木兰[2] 

机构地区：[1]金陵科技学院信息技术学院,江苏南京210001 [2]南京工程学院先进数控技术江苏省高校重点建设实验室,江苏南京210013

出　　处：《计算机仿真》2009年第11期335-338,共4页Computer Simulation

摘　　要：现实控制系统研究中存在很多分数阶系统,因此对系统提出了分数阶PIλDμ控制器,控制器将传统整数阶PID控制器的微分与积分阶数扩展到分数,增加了两个参数微分阶数μ和积分阶数λ。为了对比研究分数阶系统分别在分数阶PIλDμ控制器控制下和在整数阶PID控制器控制下的系统性能,针对一个典型的分数阶系统,分别设计两类控制器,再进行性能比较。实验仿真结果表明,与整数阶PID控制器相比,该系统在分数阶PIλDμ控制器控制下整个闭环系统具备较好的动、静态性能,并且鲁棒性较强,说明分数阶PIλDμ控制器控制性能的优越性以及当被控系统为分数阶系统时应该设计分数阶PIλDμ控制器。Most real systems are fractional systems, so fractional -order PI^λD^μ controller is introduced on this kind of system. It expands the orders of integrator and differentiator of classical integer - order PID controller into fractional order, so it has two more parameters, differential order μ and integral order λ. In order to compare the performance of fractional system controlled by fractional - order PI^λD^μ controller with the performance of fractional system controlled by integerorder PID controller, the two kind controllers are designed based on a typical fractional system, and then their control performances are compared in this paper. The simulation verifies that compared with integer - order PID controller, fractional - order system controlled by fractional - order PI^λD^μ controller can get better dynamic and static performance, and has strong robust. So the advantage of control performance of fractional - order PI^λD^μ controller is approved and fractional -order PI^λD^μ controller should be designed when the controlled system is fractional system.

关 键 词：分数阶控制器 整数阶控制器 控制性能 分数阶系统 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]