Proceedings ArticleDOI
Design and Analysis of Fractional Filters with Complex Orders
TLDR
In this paper, the authors proposed a complex fractional differentiator for the order π+j\beta, where an approximation technique using curve fitting based iterative algorithm is proposed for the implementation of these differentiators.Abstract:
This paper focuses on designing a complex fractional differentiator for the order $\alpha+j\beta$ . An approximation technique using curve fitting based iterative algorithm is proposed for the implementation of these differentiators. Furthermore, the development of various complex fractional-order filters, namely low-pass, high-pass, band-pass, and all-pass, is presented. Bode diagrams from the results show that the proposed filters have produced a similar behavior to the conventional and fractional filter. Similarly, Bode diagrams of approximated filters using the proposed technique also confirms the achievement of similar behavior to the traditional and fractional filter. The step response on the process plant also proved that the fractional low-pass filter with complex order accomplished well on filtering the noise signal.read more
Citations
More filters
Proceedings ArticleDOI
Design and Implementation of Signal Filtering Techniques on Real-time Pressure Process Plant
TL;DR: In this article, a set-point and noise filtering technique was proposed to improve the performance of closed-loop feedback industrial processes, where the measured sensor signal from the field environment is directly fed to the controller for processing.
Proceedings ArticleDOI
Design and Analysis of Complex Fractional-order PID Controllers
TL;DR: In this paper, the design of a complex fractional-order differentiator and integrator for the order π+j\beta was studied and an approximation using a curve fitting-based iterative algorithm was proposed.
Journal ArticleDOI
On the possible realization of a complex‐order capacitive impedance and its applications
TL;DR: In this article , the authors report on the possibility of synthesizing capacitive impedances with complex orders and explain the meaning of such impedances, and demonstrate applications in realizing a complex-order integrator and a complex order high-pass filter.
Book ChapterDOI
Application of Fractional-Order Signal Filtering Techniques for Dead-Time Process Plants
Book ChapterDOI
Novel Hybrid Iterative Learning–Fractional Predicative PI Controller for Time-Delay Systems
TL;DR: In this paper , a hybridization of the ILC with the fractional-order predictive PI (FOPPI) is proposed for time-delay processes. But the proposed technique is not suitable for continuous output tracking based on the reference plant model.
References
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Book
Linear feedback control : analysis and design with MATLAB
TL;DR: The CtrlLAB tool as discussed by the authors is a feedback control system analysis and design tool for MATLAB functions that can be used to analyze feedback control systems. But it is not suitable for the analysis of linear control systems and does not support simulation of nonlinear systems.
Journal ArticleDOI
IMC-PID-fractional-order-filter controllers design for integer order systems.
TL;DR: A new approach is investigated for the fractional order case of standard PID controllers, which can be decomposed into two transfer functions: an integer transfer function which is generally an integer PID controller and a simple fractional filter.
Journal ArticleDOI
Approximated Fractional Order Chebyshev Lowpass Filters
TL;DR: In this article, the use of nonlinear least squares optimization is proposed to approximate the passband ripple characteristics of traditional Chebyshev lowpass filters with fractional order steps in the stopband.
Journal ArticleDOI
Optimal Controllers with Complex Order Derivatives
TL;DR: The results demonstrate not only that complex-order derivatives constitute a valuable alternative for deriving control algorithms, but also the feasibility of the adopted optimization strategy.
Journal ArticleDOI
New tuning design schemes of fractional complex-order PI controller
TL;DR: In this paper, the authors presented two systematic design procedures, to tune parameters of a fractional complex-order PI (FCO-PI) controller in the form of $$\mathrm{PI}^{a+ib}