分数阶系统模糊自适应分数阶PI~λD~μ控制器  

Fuzzy Self-adaptive Fractional Order PI^λD^μ Controller for Fractional Order Plant

作　　者：梁涛年[1] 陈建军[2] 王媛[1] 林智伟[1] 崔星毅[1] 

机构地区：[1]西北机电工程研究所,陕西咸阳712099 [2]西安电子科技大学机电工程学院,西安710071

出　　处：《北京工业大学学报》2013年第7期1040-1045,共6页Journal of Beijing University of Technology

基　　金：国家"863"计划资助项目(2006AA04Z402)

摘　　要：针对分数阶被控对象,采用分数阶微积分的数值解法,提出了模糊自适应分数阶PIλDμ控制器的数值实现方法与步骤.由于分数阶闭环控制系统的模糊化难以实现,将分数阶PIλDμ控制器与分数阶被控对象构成闭环分数阶控制系统,求其闭环系统在时域内的表达式,再用分数阶微积分的数值解法并结合模糊推理规则,推导出了模糊分数阶PIλDμ控制器的实现步骤,并对其控制系统的单位阶跃响应性能进行了仿真分析.结果表明:所设计的模糊自适应分数阶PIλDμ控制器比分数阶PIλDμ及传统的整数阶PID控制器表现出较好的控制性能.The numerical evaluation method of fuzzy self-adaptive fractional order PI^λD^μ controller for fractional order plant was presented by numerical solution of fractional order equation. It was difficult to realize the fuzzifieation of fractional order closed loop control systems. Therefore, the closed loop expression of fractional order control system was constructed by fractional order PIeD＂ controller and fractional order plant in the time domain. Then, by the numerical solution of fractional order equation and fuzzy rules, the realized method of fuzzy self-adaptive fractional order PI^λD^μ controller was obtained. Lastly, the performance of control system was analyzed for the fractional order plant by fuzzy self-adaptive fractional order PI^λD^μ controller. Result shows that the fuzzy self-adaptive fractional order PI^λD^μ controller demonstrates the better performance compared with fractional order PI^λD^μ controller and classical PID controller.

关 键 词：模糊控制 PIλDμ控制器 分数阶被控对象 模糊逻辑推理 

分 类 号：TP391.9[自动化与计算机技术—计算机应用技术]