成比例分数阶系统的仿真研究

成比例分数阶系统是一种特殊的分数阶系统.这里提出将成比例分数阶系统的基本阶次项看作一个整体,成比例分数阶系统就转化成一个常规的整数阶系统.通过对成比例分数阶系统的基本阶次项进行近似化研究,减少了系统的复杂性.并用仿真实例进一步演示了该方法的简洁性,可以有效分析成比例分数阶系统问题.

Simulation of Commensurate Fractional Order Systems

Commensurate fractional order systems is a special kind of fractional order systems.The basic item of commensurate fractional order systems can be looked upon as the whole.The commensurate fractional order systems can be converted to the integer order systems through approximation method.The complexity the commensurate fractional order systems can be depressed greatly through much less approximation procession.The validity and succinctness of the method was demonstrated by some simulation examples.The proposed method is used for solution of the commensurate fractional order systems.