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非整数阶系统连续时间域的模拟

Continuous-time modelling of non-integer systems
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摘要 提出了一种致力于非整数阶系统连续时间域的模拟方法.这种特殊系统的仿真建立在有限频率区间非整数阶积分算子的基础上,其非整数阶作用仅限于有限频率区域.然后,可以定义非整数阶模型的状态方程实现,它允许近似理想非整数阶系统的连续时间响应.最后,通过两个数字仿真例子来验证这种模拟方法. A method is proposed to deal with the continuous-time modelling of fractional systems. The simulation of these particular systems is based on a fractional integrator where the non-integer behavior acts only on a limited spectral band. Then, it is possible to define a state-space representation of the fractional model, which permits to approximate the continuous-time response of an ideal system. Finally, this methodology is validated with two simulated examples.
出处 《控制理论与应用》 EI CAS CSCD 北大核心 2007年第3期419-422,共4页 Control Theory & Applications
关键词 非整数阶系统 非整数阶算子 模拟 fractional systems fractional operator modelling
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参考文献5

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