Reduced-order two-parameter pLPV controller for the rejection of nonstationary harmonically related multisine disturbances

A reduced-order gain-scheduling controller based on two time-varying parameters for the rejection of harmonic disturbances with time-varying frequencies is presented. The frequencies are harmonically related and assumed to be known. The control design results in a discrete-time controller with an order which is two times the number of frequency components of the multisine disturbance. Two gain-scheduling parameters are used independently of the number of harmonic components and a triangle is considered as the polytope, therefore the controller is obtained by interpolation between three controllers calculated for the vertices of the polytope. The resulting controller structure is therefore very simple. Experimental results on an active vibration control test bed are used to validate the controller.

[1]  Xizhi Shi,et al.  Gain-scheduled H,Control for Use in Vibration Suppression of System with Harmonic Excitation , 2002 .

[2]  M. O. Tokhi,et al.  Active noise control systems , 1987 .

[3]  Christian Bohn,et al.  Active vibration control for harmonic disturbances with time-varying frequencies through LPV gain scheduling , 2011, 2011 Chinese Control and Decision Conference (CCDC).

[4]  Bruce A. Francis,et al.  The internal model principle of control theory , 1976, Autom..

[5]  Christian Bohn,et al.  Disturbance Rejection through LPV Gain-Scheduling Control with Application to Active Noise Cancellation , 2011 .

[6]  C. Darengosse,et al.  Linear Parameter-Varying Controller Design for Active Power Filters , 2000 .

[7]  Francesco Amato,et al.  Robust Control of Linear Systems Subject to Uncertain Time-Varying Parameters , 2006 .

[8]  Christian Bohn,et al.  LPV Gain-Scheduled Output Feedback for Active Control of Harmonic Disturbances with Time-Varying Frequencies , 2012 .

[9]  Christian Bohn,et al.  GAIN-SCHEDULED STATE-FEEDBACK CONTROL FOR ACTIVE CANCELLATION OF MULTISINE DISTURBANCES WITH TIME-VARYING FREQUENCIES , 2011 .

[10]  Christian Bohn,et al.  Design of structured discrete-time LPV gain-scheduling controllers through state augmentation and partial state feedback , 2013, 2013 American Control Conference.

[11]  Long Zhang,et al.  LPV technique for the rejection of sinusoidal disturbance with time-varying frequency , 2003 .

[12]  Charles E. Kinney,et al.  AN ADAPTIVE INTERNAL MODEL-BASED CONTROLLER FOR PERIODIC DISTURBANCE REJECTION , 2006 .

[13]  Neil J. Bershad,et al.  A frequency domain model for 'filtered' LMS algorithms-stability analysis, design, and elimination of the training mode , 1993, IEEE Trans. Signal Process..

[14]  Christian Bohn,et al.  Disturbance-observer-based active control of engine-induced vibrations in automotive vehicles , 2003, SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring.

[15]  W. Heins,et al.  LPV Gain-Scheduled Observer-Based State Feedback for Active Control of Harmonic Disturbances with Time-Varying Frequencies , 2012 .

[16]  Charles E. Kinney,et al.  A comparison of fixed point designs and time-varying observers for scheduling repetitive controllers , 2007, 2007 46th IEEE Conference on Decision and Control.

[17]  Christian Bohn,et al.  Active control of engine-induced vibrations in automotive vehicles using disturbance observer gain scheduling , 2004 .

[18]  R.A. de Callafon,et al.  Scheduling control for periodic disturbance attenuation , 2006, 2006 American Control Conference.

[19]  Ferdinand Svaricek,et al.  Parameter Reduction for Disturbance Attenuation with a Discrete-Time LPV Controller , 2013 .

[20]  Hamid Reza Karimi,et al.  Discrete-time static output-feedback semi-decentralized H∞ controller design: An application to structural vibration control , 2012, 2012 American Control Conference (ACC).

[21]  Christian Bohn,et al.  Experimental evaluation of an LPV-gain-scheduled observer for rejecting multisine disturbances with time-varying frequencies , 2012, 2012 American Control Conference (ACC).

[22]  Pablo Ballesteros,et al.  A frequency-tunable LPV controller for narrowband active noise and vibration control , 2011, Proceedings of the 2011 American Control Conference.

[23]  C. Scherer,et al.  LPV Control for Robust Attenuation of Non-stationary Sinusoidal Disturbances with Measurable Frequencies , 2008 .