基于卡尔曼滤波器的分数阶PI^(λ)D^(μ)控制器  

A Fractional Order PI^(λ)D^(μ)Controller Based on Kalman Filter

作　　者：蔡元宵 王芸芳 CAI Yuan-xiao;WANG Yun-fang(Information and Computer Science Department,Xinhua College of Ningxia University,Yinchuan Ningxia 750021;Technology Center of Shaanxi Automobile Holding Group Co.,Ltd.,Xi'an Shaanxi 710200)

机构地区：[1]宁夏大学新华学院信息与计算机科学系,宁夏银川750021 [2]陕西汽车控股集团有限公司技术中心,陕西西安710200

出　　处：《数字技术与应用》2021年第3期49-52,共4页Digital Technology & Application

摘　　要：针对整数阶被控对象和分数阶被控对象,分别采用分数阶PIλDμ控制器与整数阶PID控制器进行控制,考虑实际系统存在的干扰噪声,在分数阶控制器的后端加卡尔曼滤波器,滤除噪声。对给定的被控系统建立连续状态空间模型,并将其用零阶保持器转换为离散模型,在实现分数阶控制器数字化的同时,结合离散卡尔曼滤波算法,通过仿真实例表明分数阶控制器既能有效地控制系统且能很好地滤除噪声。FOPID and PID controller control integer plant and fractional order plant respectively,considering the interference noise,we add a Kalman filter to the rear end of the FOPID controller to filter out the noise.For the given plant,establish a continuous state space model and then convert it into a discrete model by zero-order holder.Combined the Kalman filter algorithm with the digital implementation of FOPID,the simulation results show that the FOPID controller,based on Kalman filter,can control the system and remove the noise effectively.

关 键 词：卡尔曼滤波器 分数阶控制器 离散控制系统 

分 类 号：TP273.2[自动化与计算机技术—检测技术与自动化装置]