非整数阶函数的频带实现

Nitisha Shrivastava, P. Varshney
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引用次数: 1

摘要

非整数微积分由于其额外的自由度,在信号处理、控制和自动化领域的作用逐渐得到重视。本文主要研究非整数阶微分器和积分器在s域中的频带近似。提出了一种非整数阶比例加积分加微分(PID)控制器对对象模型进行控制的方法。这是通过首先使用不同的近似技术将非整数阶项近似为有限值,然后分解有限模型以获得电路元件来完成的。给出了近似模型的频响分析,表明近似技术决定了电路元件的个数。通过绘制阶跃响应,给出了闭环系统的时域分析。利用MATLAB和OrCAD Capture CIS仿真器进行了仿真。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Frequency band implementation of non-integer order functions
The role of non-integer calculus in the fields of signal processing, control and automation is gradually gaining high importance due to its additional degree of freedom. In this paper we focus on frequency band approximations of non-integer order differentiators and integrators in s-domain. The implementation of non-integer order proportional plus integral plus derivative (PID) controller to control a plant model is presented. This is done by first approximating the non-integer order terms to a finite value using different approximation techniques and then decomposing the finite model to obtain the circuit elements. The frequency response analysis of the approximated model is presented and it is shown that the number of circuit elements depends on the approximation technique. The time domain analysis of the closed loop system is presented by plotting the step response. The simulations have been performed using MATLAB and OrCAD Capture CIS simulator.
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