Control of resonant modes of a smart structure using OMPC

In this article the design and experimental implementation of an observer based model predictive control (OMPC) scheme for active damping of the first two resonant modes of a smart structure is presented. The design of this controller is based on an identified model of the plant. A Kalman filter is used to obtain full state information. The experimental results verify the efficacy of the proposed controller.

[1]  Philip A. Nelson,et al.  Active control of vibration, 1st edition , 1996 .

[2]  S. O. Reza Moheimani Experimental verification of the corrected transfer function of a piezoelectric laminate beam , 2000, IEEE Trans. Control. Syst. Technol..

[3]  Ian R. Petersen,et al.  Spatial balanced model reduction for flexible structures , 1997, Proceedings of the 1997 American Control Conference (Cat. No.97CH36041).

[4]  Leonard Meirovitch,et al.  Elements Of Vibration Analysis , 1986 .

[5]  Reinder Banning,et al.  Modeling piezoelectric actuators , 2000 .

[6]  Hemanshu R. Pota,et al.  Resonant controllers for smart structures , 2002 .

[7]  Ian R. Petersen,et al.  BROADBAND DISTURBANCE ATTENUATION OVER AN ENTIRE BEAM , 1999 .

[8]  Ian R. Petersen,et al.  Minimax LQG optimal control of a flexible beam , 2000 .

[9]  L. Ljung Prediction error estimation methods , 2002 .

[10]  Wook Hyun Kwon,et al.  Empirical frequency-domain optimal parameter estimate for black-box processes , 2006, IEEE Transactions on Circuits and Systems I: Regular Papers.

[11]  S.O. Reza Moheimani,et al.  Resonant controllers for flexible structures , 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304).

[12]  S. O. R. Moheimani,et al.  Improvement of accuracy and speed of a commercial AFM using positive position feedback control , 2009, 2009 American Control Conference.

[13]  Paul Kabaila,et al.  On output-error methods for system identification , 1983 .

[14]  H. R. Pota,et al.  High-Speed AFM Image Scanning Using Observer-Based MPC-Notch Control , 2013, IEEE Transactions on Nanotechnology.

[15]  Liuping Wang,et al.  Model Predictive Control System Design and Implementation Using MATLAB , 2009 .

[16]  Ian R. Petersen,et al.  Model predictive control of atomic force microscope for fast image scanning , 2012, 2012 IEEE 51st IEEE Conference on Decision and Control (CDC).

[17]  H. R. Pota,et al.  High performance control of a PZT scanner for fast nanoscale positioning of atomic force microscope , 2012, 2012 2nd Australian Control Conference.

[18]  Jan M. Maciejowski,et al.  Predictive control : with constraints , 2002 .