Optimal negative derivative feedback controller design for collocated systems based on [formula omitted] and [formula omitted] method.

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Title: Optimal negative derivative feedback controller design for collocated systems based on [formula omitted] and [formula omitted] method.
Authors: Jamshidi, Rasa1,2 (AUTHOR), Collette, Christophe1,2 (AUTHOR)
Source: Mechanical Systems & Signal Processing. Dec2022, Vol. 181, pN.PAG-N.PAG. 1p.
Subjects: Bandpass filters, Frequencies of oscillating systems, Electric power filters
Abstract: • 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 (H 2 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, H 2 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. [ABSTRACT FROM AUTHOR]
Copyright of Mechanical Systems & Signal Processing is the property of Academic Press Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Label: Title
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  Data: Optimal negative derivative feedback controller design for collocated systems based on [formula omitted] and [formula omitted] method.
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  Data: <searchLink fieldCode="AR" term="%22Jamshidi%2C+Rasa%22">Jamshidi, Rasa</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Collette%2C+Christophe%22">Collette, Christophe</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)
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  Data: <searchLink fieldCode="JN" term="%22Mechanical+Systems+%26+Signal+Processing%22">Mechanical Systems & Signal Processing</searchLink>. Dec2022, Vol. 181, pN.PAG-N.PAG. 1p.
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  Data: <searchLink fieldCode="DE" term="%22Bandpass+filters%22">Bandpass filters</searchLink><br /><searchLink fieldCode="DE" term="%22Frequencies+of+oscillating+systems%22">Frequencies of oscillating systems</searchLink><br /><searchLink fieldCode="DE" term="%22Electric+power+filters%22">Electric power filters</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: • 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 (H 2 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, H 2 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. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Mechanical Systems & Signal Processing is the property of Academic Press Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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      – Type: doi
        Value: 10.1016/j.ymssp.2022.109497
    Languages:
      – Code: eng
        Text: English
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      Pagination:
        PageCount: 1
        StartPage: N.PAG
    Subjects:
      – SubjectFull: Bandpass filters
        Type: general
      – SubjectFull: Frequencies of oscillating systems
        Type: general
      – SubjectFull: Electric power filters
        Type: general
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      – TitleFull: Optimal negative derivative feedback controller design for collocated systems based on [formula omitted] and [formula omitted] method.
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            NameFull: Jamshidi, Rasa
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            – D: 01
              M: 12
              Text: Dec2022
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              Y: 2022
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              Value: 181
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            – TitleFull: Mechanical Systems & Signal Processing
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