Optimal negative derivative feedback controller design for collocated systems based on H2 and H∞ method

•A straightforward design method for Negative Derivative Feedback Controller.•Optimal design of NDF controller with the maximum possible closed loop damping.•Applicable for collocated system with different patterns (zero before pole or zero after pole pattern).•Acting as a bandpass filter, cutting o...

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Bibliographic Details
Published in:Mechanical systems and signal processing Vol. 181; p. 109497
Main Authors: Jamshidi, Rasa, Collette, Christophe
Format: Journal Article
Language:English
Published: Elsevier Ltd 01.12.2022
Elsevier BV
Subjects:
Aerospace Engineering
Band-pass filter
Civil and Structural Engineering
Collocated system
Computer Science Applications
Control and Systems Engineering
Engineering, computing & technology
Ingénierie mécanique
Ingénierie, informatique & technologie
Maximum damping
Mechanical Engineering
Negative derivative feedback (NDF)
Pole-zero pattern
Signal Processing
Vibration mitigation
Maximum damping
Vibration mitigation
Collocated system
Band-pass filter
Pole-zero pattern
Negative derivative feedback (NDF)
ISSN:0888-3270, 1096-1216, 1096-1216
Online Access:Get full text
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Summary:•A straightforward design method for Negative Derivative Feedback Controller.•Optimal design of NDF controller with the maximum possible closed loop damping.•Applicable for collocated system with different patterns (zero before pole or zero after pole pattern).•Acting as a bandpass filter, cutting off the control action far from the controlled modes which reduces the spillover effect.•Using different strategies for finding optimal solution (H2 and H∞). In this paper, a direct procedure is presented in order to design negative derivative feedback (NDF) controller for collocated systems. Collocated systems have embedded sensors and actuators, which have an alternating poles and zeroes in frequency domain, which creates asymptotic stability. NDF is a band-pass filter, cutting off the control action far from the natural frequencies associated with the controlled modes, which reduces the spillover effect. Since it is a band-pass filter, it can effectively control the lower and higher frequency disturbances. Also, it is very efficient controller for higher frequencies’ vibration mitigation. An approach for an optimal design of NDF controller to implement on collocated system is presented. A simple, collocated system is considered and a mode of it is targeted to damp. Maximum damping method is used to extract all of the controller constants dependent on closed-loop damping value. Afterward, H2 and H∞ methods are utilized to determine the closed-loop damping value optimally. The results show that NDF not only can easily damp the targeted mode impactfully but also can reduce some level of vibrations in the modes after that as well. This shows the power of NDF filter on vibration mitigation of modes located in a band of frequency. The proposed method is applicable for any general system and for any zero/pole patterns of collocated system, easily. It can be applied for any collocated system with zero before pole pattern or zero after pole pattern.
Bibliography:scopus-id:2-s2.0-85134617031
ISSN:0888-3270
1096-1216
1096-1216
DOI:10.1016/j.ymssp.2022.109497