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Robust Analysis for Principal Component Active Control Systems

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journal contribution
posted on 18.01.2021, 16:53 by Hao Yang, RM Morales Viviescas, Matthew Turner
Principal component active control is of great interest in recent times because of its extensive use in vibration and noise reduction applications. Existing analyses for such control systems mainly focus on simplified representations of the closed-loop system to obtain robust stability conditions, but they exclude key practical considerations, such as open-loop dynamics, periodic time-varying effects generated by the transformations between the time-domain harmonic signals and the estimation of their Fourier coefficients, multirate issues caused by the plant and the controller operating at different sampling rates, modeling errors, and particular ways of scaling the control actions. The contribution of this work is to include all the afore-mentioned effects to provide more accurate robustness conditions, which complement existing controller tuning procedures. The robustness analysis is conducted by first exploiting the time-lifting method to reformulate the linear-periodic-time-variant part of the discrete-time system into an equivalent linear-time-invariant representation. Then using the theoretical tool of integral quadratic constraints, standard forms of plant uncertainty and scaling of the control actions are incorporated. A vibration control example based on the Airbus EC-145 helicopter main rotor with On-Blade actuators is included to demonstrate the benefits of the contributions. The proposed design results are benchmarked against the mixed-sensitivity H∞ method, highlighting strengths, and weaknesses by each approach for this particular application.

History

Alternative title

Robust Principal Component Active Control for Practical Implementations

Author affiliation

School of Engineering

Version

AM (Accepted Manuscript)

Published in

IEEE Transactions on Control Systems Technology

Publisher

Institute of Electrical and Electronics Engineers

issn

1063-6536

Copyright date

2020

Available date

03/07/2020

Language

en