Time-Delayed Vibration Control of a Rotating Flexible Manipulator Based on Model Output Prediction Feedback

AbstractThis paper is concerned with vibration control of a single-link flexible beam structure. The proposed beam is controlled by a servo motor through a harmonic gear reducer. After obtaining the models by system identification, a time-delayed optimal controller based on model output prediction and optimal control theory was designed to compensate the unknown time delay in the controlled system. Then, experiments on the proposed control scheme were conducted in a set-point vibration control process. The experimental results demonstrate that the performance of vibration suppression can be improved substantially when applying the proposed method in the presence of time delay compensation, as compared to the traditional proportional and derivative (PD) controller. The accuracy of models was validated according to experimental results, and the factors that influence the output prediction accuracy are analyzed in this paper.

[1]  Baolin Zhang,et al.  Active vibration H∞ control of offshore steel jacket platforms using delayed feedback , 2013 .

[2]  N. Olgac,et al.  Optimum delayed feedback vibration absorber for MDOF mechanical structures , 1998, Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171).

[3]  Dong Yue,et al.  Delayed feedback control of uncertain systems with time-varying input delay , 2005, Autom..

[4]  Seung-Bok Choi,et al.  Position control of a two-link flexible manipulator featuring piezoelectric actuators and sensors , 2001 .

[5]  Kun Liu,et al.  Experimental study of delayed positive feedback control for a flexible beam , 2011 .

[6]  W. Fred Ramirez,et al.  State controllability and optimal regulator control of time-delayed systems , 2001 .

[7]  S. O. Reza Moheimani,et al.  Model Predictive Control Applied to Constraint Handling in Active Noise and Vibration Control , 2008, IEEE Transactions on Control Systems Technology.

[8]  Guang Meng,et al.  Vibration control of piezoelectric smart structures based on system identification technique: Numerical simulation and experimental study , 2006 .

[9]  Wei Wang,et al.  Adaptive backstepping control of uncertain systems with unknown input time-delay , 2009, Autom..

[10]  Sung Hoon Ha,et al.  Accurate position control of a flexible arm using a piezoactuator associated with a hysteresis compensator , 2013 .

[11]  Ali H. Nayfeh,et al.  On utilizing delayed feedback for active-multimode vibration control of cantilever beams , 2009 .

[12]  Michael J. Brennan,et al.  Active vibration control using delayed resonant feedback , 2013 .

[13]  Nader Jalili,et al.  MULTIPLE DELAYED RESONATOR VIBRATION ABSORBERS FOR MULTI-DEGREE-OF-FREEDOM MECHANICAL STRUCTURES , 1999 .

[14]  K. V. Gangadharan,et al.  Parametric modeling and FPGA based real time active vibration control of a piezoelectric laminate cantilever beam at resonance , 2015 .

[15]  Dong Zhang,et al.  Experimental researches on sliding mode active vibration control of flexible piezoelectric cantilever plate integrated gyroscope , 2009 .

[16]  Guang-Ren Duan,et al.  Truncated predictor feedback for linear systems with long time-varying input delays , 2012, Autom..

[17]  I. D. Landau,et al.  Digital Control Systems: Design, Identification and Implementation , 2006 .

[18]  Wook Hyun Kwon,et al.  Feedback stabilization of linear systems with delayed control , 1980 .

[19]  Wodek Gawronski,et al.  Advanced Structural Dynamics and Active Control of Structures , 2004 .

[20]  M. Krstić Delay Compensation for Nonlinear, Adaptive, and PDE Systems , 2009 .

[21]  K. V. Gangadharan,et al.  Modeling and design of field programmable gate array based real time robust controller for active control of vibrating smart system , 2015 .

[22]  Guo-Ping Cai,et al.  An optimal control method for linear systems with time delay , 2003 .

[23]  Boris Rohaľ-Ilkiv,et al.  Model Predictive Vibration Control , 2012 .

[24]  Jinguo Liu,et al.  Experiments on fuzzy sliding mode variable structure control for vibration suppression of a rotating flexible beam , 2015 .

[25]  Gilead Tadmor,et al.  The standard H∞ problem in systems with a single input delay , 2000, IEEE Trans. Autom. Control..

[26]  Changyun Wen,et al.  Adaptive Backstepping Control of Uncertain Systems with Unknown Input Time-Delay , 2008 .

[27]  Ioan Doré Landau,et al.  Digital Control Systems , 2014 .

[28]  B Schenker,et al.  Output prediction in systems with backlash , 1998 .

[29]  A. Olbrot,et al.  Finite spectrum assignment problem for systems with delays , 1979 .

[30]  S. Chatterjee Vibration control by recursive time-delayed acceleration feedback , 2008 .