Visualizing control systems performance: A fractional perspective

This article presents a novel method for visualizing the control systems behavior. The proposed scheme uses the tools of fractional calculus and computes the signals propagating within the system structure as a time/frequency-space wave. Linear and nonlinear closed-loop control systems are analyzed,...

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Bibliographic Details
Main Author: Lopes, A. M. (author)
Other Authors: Machado, J.A.Tenreiro (author)
Format: article
Language:eng
Published: 2016
Subjects:
Online Access:http://hdl.handle.net/10400.22/7442
Country:Portugal
Oai:oai:recipp.ipp.pt:10400.22/7442
Description
Summary:This article presents a novel method for visualizing the control systems behavior. The proposed scheme uses the tools of fractional calculus and computes the signals propagating within the system structure as a time/frequency-space wave. Linear and nonlinear closed-loop control systems are analyzed, for both the time and frequency responses, under the action of a reference step input signal. Several nonlinearities, namely, Coulomb friction and backlash, are also tested. The numerical experiments demonstrate the feasibility of the proposed methodology as a visualization tool and motivate its extension for other systems and classes of nonlinearities.