Hybrid adaptive control method for active vibration control system with positive feedback
Author(s): GAO Zhi-yuan, ZHU Xiao-jin, ZHANG He-sheng, LI Pei-jiang, School of Mechatronic Engineering & Automation, Shanghai University, Shanghai Academy of Spaceflight Technology
Pages: 978-984
Year: 2015 Issue: 7
Journal: Control Theory & Applications
Keyword: active vibration control; adaptive control; hybrid control; feedforward control; feedback control; structural positive feedback;
Abstract: The traditional finite impulse response(FIR) feedforward controller design method cannot guarantee the stability and desired control performances for active vibration control systems with structural positive feedback.To tackle the controller design problem,we put forward a novel infinite impulse response(IIR) hybrid adaptive vibration control algorithm by inserting an adaptive feedback controller into an adaptive feedforward controller.The reference signal of the feedforward controller is obtained from the reference sensor,while the reference signal of the feedback controller is constructed by using the estimates of the disturbance;control parameters are updated by employing Landau recursive algorithm.Taking a mechanical system with positive feedback as the controlled plant,the deducing process of this algorithm is illustrated in details.The stability and convergence are analyzed;the strictly positive real condition is derived along with the relaxation requirements.A real time control experimental platform is constructed;comparison experiments are done for several different vibration disturbances.The experiment results confirm the feasibility and effectiveness of the proposed algorithm.
Pages: 978-984
Year: 2015 Issue: 7
Journal: Control Theory & Applications
Keyword: active vibration control; adaptive control; hybrid control; feedforward control; feedback control; structural positive feedback;
Abstract: The traditional finite impulse response(FIR) feedforward controller design method cannot guarantee the stability and desired control performances for active vibration control systems with structural positive feedback.To tackle the controller design problem,we put forward a novel infinite impulse response(IIR) hybrid adaptive vibration control algorithm by inserting an adaptive feedback controller into an adaptive feedforward controller.The reference signal of the feedforward controller is obtained from the reference sensor,while the reference signal of the feedback controller is constructed by using the estimates of the disturbance;control parameters are updated by employing Landau recursive algorithm.Taking a mechanical system with positive feedback as the controlled plant,the deducing process of this algorithm is illustrated in details.The stability and convergence are analyzed;the strictly positive real condition is derived along with the relaxation requirements.A real time control experimental platform is constructed;comparison experiments are done for several different vibration disturbances.The experiment results confirm the feasibility and effectiveness of the proposed algorithm.
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