基于序列二次规划法的新型分数阶PI^λ-PD^μ控制器设计  

Design of a new fractional order PI^λ-PD^μ controller based on SQP

作　　者：戚志东[1] 卞慧娟 冷博阳 单梁[1] 

机构地区：[1]南京理工大学自动化学院,南京210094

出　　处：《控制与决策》2016年第12期2275-2279,共5页Control and Decision

基　　金：国家自然科学基金项目(61374153;61203009);国家博士后基金项目(2012M511763);国家留学基金项目

摘　　要：针对被控对象具有分数阶特性的系统需要相应的分数阶控制器来提高控制效果,提出一种新型的分数阶PI^λPD^μ制器,系统的前向通道采用分数阶PI^λ制器,被控对象的内反馈环采用分数阶PD^μ制器,利用序列二次规划法辨识分数阶PI^λD^μ制器的参数,并设计了一种结构变换法求取分数阶PI^λPD^μ制器的参数;然后,基于Oustaloup滤波器采用整数阶近似及模型降阶法对分数阶被控对象进行求解.系统仿真结果表明,与整数阶PI-PD控制器相比,分数阶PI^λPD^μ制器的抗干扰性较强,能更好地满足系统的动态响应要求.It is necessary to use the fractional order controller to improve control efficiency for the system with fractional characteristics. Therefore, a novel fractional order PPI^λPD^μcontroller is proposed. The forward channel of the system contains a fractional order PIλcontroller, and the feedback loop uses PDμcontroller. The method of sequential quadratic programming（SQP） is used to identify the parameters of the fractional order PI^λ~μ controller. The parameters of the fractional order PPI^λPD^μcontroller are acquired by using structure transformation method. Then, by using of integer order approximation and reducing order approach, the fractional system is solved with the oustaloup filter. The simulation results show that the dynamic performance and interference immunity of the fractional order PPI^λPD^μcontroller designed are better than the integer order PI-PD controller in the existing results.

关 键 词：参数辨识 分数阶PI^λ-PD^μ控制器 序列二次规划法 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]