Experimental study of delayed feedback control for a flexible plate

Delayed feedback control is a novel control strategy that utilizes time delay for good control effectiveness. This strategy is now mainly studied on theoretical basis and few effect was ever made on the experiment. This paper presents an experimental study of delayed feedback control using a flexible plate as research object. A treating method for multiple time delays is proposed. The experiment system is structured based on the DSP TMS320F2812. Piezoelectric (PZT) patches are used as actuators and foil gauges as sensors. The optimal positions of PZT actuators on the plate are determined using the particle swarm optimizer (PSO). The feasibility and efficiency of delayed feedback control method are verified both theoretically and experimentally.

[1]  Guo-Ping Cai,et al.  Optimal tracking control of a flexible hub–beam system with time delay , 2006 .

[2]  Jian Xu,et al.  An Efficient Method for Studying Weak Resonant Double Hopf Bifurcation in Nonlinear Systems with Delayed Feedbacks , 2007, SIAM J. Appl. Dyn. Syst..

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

[4]  Yen-Sheng Chen,et al.  Nonlinear Dynamics and Chaos Control for a Time Delay Duffing System , 2005 .

[5]  Cai Guoping,et al.  Optimal Control Method for Seismically Excited Building Structures with Time-delay in Control , 2002 .

[6]  Sergey V. Drakunov,et al.  Delay identification in time-delay systems using variable structure observers , 2006, Annu. Rev. Control..

[7]  Hisham Abou-Kandil,et al.  Piezoelectric actuators and sensors location for active control of flexible structures , 2001, IEEE Trans. Instrum. Meas..

[8]  Jinde Cao,et al.  Bifurcation Analysis and Chaos Control for lÜ System with Delayed Feedback , 2007, Int. J. Bifurc. Chaos.

[9]  Xianmin Zhang,et al.  Optimal placement and active vibration control for piezoelectric smart flexible cantilever plate , 2007 .

[10]  T. T. Soong,et al.  Experiments on Active Control of Seismic Structures , 1988 .

[11]  Yue Shi,et al.  A modified particle swarm optimizer , 1998, 1998 IEEE International Conference on Evolutionary Computation Proceedings. IEEE World Congress on Computational Intelligence (Cat. No.98TH8360).

[12]  Martin Hosek,et al.  A Single-Step Automatic Tuning Algorithm for the Delayed Resonator Vibration Absorber , 1999, Dynamic Systems and Control.

[13]  Haiyan Hu,et al.  Stabilization of vibration systems via delayed state difference feedback , 2006 .

[14]  H. Hu,et al.  Dynamics of Controlled Mechanical Systems with Delayed Feedback , 2002 .

[15]  Mohamed Abdel-Rohman,et al.  TIME-DELAY EFFECTS ON ACTIVELY DAMPED STRUCTURES , 1987 .

[16]  M. A. Abido Optimal des'ign of Power System Stabilizers Using Particle Swarm Opt'imization , 2002, IEEE Power Engineering Review.

[17]  Riccardo Poli,et al.  Particle swarm optimization , 1995, Swarm Intelligence.

[18]  Jian Xu,et al.  Effects of delayed feedback control on nonlinear vibration absorber system , 2007 .

[19]  Kwok-wai Chung,et al.  Effects of time delayed position feedback on a van der Pol–Duffing oscillator , 2003 .