分数阶传递函数的SIMULINK实现  

SIMULINK Realization for Fractional Order Transfer Function

作　　者：郑永军[1] 白伟[1] 薛生虎[1] 

机构地区：[1]中国计量学院计量测试工程学院,浙江杭州310018

出　　处：《控制工程》2013年第6期1066-1069,共4页Control Engineering of China

基　　金：浙江省自然科学基金(LY13A020004)

摘　　要：由于分数阶微积分具有"无限记忆"的特点,采用分数阶微分方程能够更全面准确的描述系统的动态特性。目前对于由分数阶传递函数所描述的分数阶系统的分析仿真主要是在MATLAB的工作空间中完成的,而不能如对整数阶系统的仿真分析可在SIMULINK环境下进行。基于分数阶微积分基本理论和SIMULINK模块封装技术,设计了一个可在SIMULINK环境下对分数阶传递函数进行显示、对分数阶系统进行分析的模块。该模块的调用与SIMULINK中整数阶传递函数模块的调用类似,具有便捷、直观的特点。通过工程实例验证,所设计的模块对分数阶系统的分析、设计可获得较好的效果。The dynamic system can be more accurately described by fractionalorder differential equation due to the ＇ unlimited memo ry＇ principle of fractionalorder calculus. Unlike the analysis and simulation of integralorder system which are frequently completed in the SIMULINK environment, the same procession for fractionalorder systems are mainly realized in MATLAB workspaee at present as the absence of corresponding SIMULINK blocks. In this paper, a block was designed which can display fractionalorder transfer func tion, thus fractional order system can be analyzed in the SIMULINK environment based on fractionalorder calculus theory and SIMU LINK mask technology. This block is used as convenient and intuitionistic as the integralorder one. By engineering application, it is validated that the designed block is more useful for the design and analysis of fractionalorder system.

关 键 词：分数阶传递函数 分数阶微分算子近似化 SIMULINK 模块封装 

分 类 号：TP27[自动化与计算机技术—检测技术与自动化装置]