基于MATLAB GUI的分数阶控制器设计与分析平台

建立一个基于MATLAB的分数阶PI^α D^β控制器设计与分析平台,该平台主要包括分数阶微积分算子有理逼近函数生成模块和分数阶PI^αD^β控制器设计模块.在该平台上可获得分数阶微积分算子最佳有理逼近表达式、频率特性曲线、零极点分布,完成分数阶PIα Dβ控制器设计与分析.通过分数阶微积分算子有理逼近及控制器设计实例表明,该平台能够方便地实现分数阶微积分算子的有理逼近及其性能分析,交互界面友好、使用方便,为分数阶PI^α D^β控制器的便捷设计提供了条件.

Design and Platform Analysis of Fractional-Order Controller Based on MATLAB GUI

A design and analysis platform of MATLAB-based fractional-order PI^α D^β controller is established.The platform includes two modules,the rational approximation function generating module of fractional calculus operator and the fractional PI^α D^β controller design module.The best rational approximation expressions of a fractional calculus operator,the frequency characteristic curves and zero-pole distribution can be achieved,and the design and analysis of a fractional PI^α D^β controller also can be complete on the platform.Design examples on rational approximations and controller for a given fractional calculus operator show that the rational approximation functions of a given fractional calculus operator and their performance analysis can be achieved easily on the platform proposed.The platform has friendly user interface and provides convenient conditions for fractional PI^α D^β controller design.