Experimental Demonstration of H∞ Control based Active Vibration Suppression in Composite Fin-tip of Aircraft using Optimally Placed Piezoelectric Patch Actuators

The goal of this study is the multi-mode structural vibration control in the composite fin-tip of an aircraft. Structural model of the composite fin-tip with surface bonded piezoelectric actuators is developed using the finite element method. The finite element model is updated experimentally to reflect the natural frequencies and mode shapes accurately. A model order reduction technique is employed for reducing the finite element structural matrices before developing the controller. Particle swarm based evolutionary optimization technique is used for optimal placement of piezoelectric patch actuators and accelerometer sensors to suppress vibration. H∞ based active vibration controllers are designed directly in the discrete domain and implemented using dSpace® (DS-1005) electronic signal processing boards. Significant vibration suppression in the multiple bending modes of interest is experimentally demonstrated for sinusoidal and band limited white noise forcing functions.

[1]  A. Berman,et al.  Improvement of a Large Analytical Model Using Test Data , 1983 .

[2]  Edvaldo Assunção,et al.  Robust control to parametric uncertainties in smart structures using linear matrix inequalities , 2004 .

[3]  P. Khargonekar,et al.  State-space solutions to standard H/sub 2/ and H/sub infinity / control problems , 1989 .

[4]  Michael I. Friswell,et al.  The adjustment of structural parameters using a minimum variance estimator , 1989 .

[5]  B. Bhattacharya,et al.  Finite elements for vibration analysis of unsymmetric laminated composite plates , 1998 .

[6]  Fulei Chu,et al.  Design of fuzzy controller for smart structures using genetic algorithms , 2003 .

[7]  Daniel J. Inman,et al.  Modeling and control for vibration suppression of a flexible active structure , 1995 .

[8]  J. C. Bruch,et al.  Optimal piezo-actuator locations/lengths and applied voltage for shape control of beams , 2000 .

[9]  Ayech Benjeddou,et al.  Advances in piezoelectric finite element modeling of adaptive structural elements: a survey , 2000 .

[10]  Liviu Librescu,et al.  Dynamic Aeroelastic Response of Aircraft Wings Modeled as Anisotropic Thin-Walled Beams , 2003 .

[11]  A. Ng,et al.  Actuator Placement Optimization and Adaptive Vibration Control of Plate Smart Structures , 2005 .

[12]  I. Bruant,et al.  A methodology for determination of piezoelectric actuator and sensor location on beam structures , 2001 .

[13]  Liviu Librescu,et al.  On a shear-deformable theory of anisotropic thin-walled beams: further contribution and validations , 2002 .

[14]  E. Crawley,et al.  Use of piezoelectric actuators as elements of intelligent structures , 1987 .

[15]  P. Khargonekar,et al.  STATESPACE SOLUTIONS TO STANDARD 2 H AND H? CONTROL PROBLEMS , 1989 .

[16]  Indra Narayan Kar,et al.  Bending and torsional vibration control of a flexible plate structure using H∞-based robust control law , 2000, IEEE Trans. Control. Syst. Technol..

[17]  M.A. Demetriou,et al.  H-Infinity Control of a Force-Actuated Flexible Beam Using an Analytical Bound Approach and Non Collocated Disturbance , 2005, Proceedings of the 2005 IEEE International Symposium on, Mediterrean Conference on Control and Automation Intelligent Control, 2005..

[18]  K. Lim Method for Optimal Actuator and Sensor Placement for Large Flexible Structures , 1992 .

[19]  A. Stoorvogel The H∞ control problem , 1992 .

[20]  Michael N. Vrahatis,et al.  On the computation of all global minimizers through particle swarm optimization , 2004, IEEE Transactions on Evolutionary Computation.

[21]  M.A. Demetriou,et al.  Collocated actuator placement in structural systems using an analytical bound approach , 2004, Proceedings of the 2004 American Control Conference.

[22]  R. J. Wynne,et al.  Modelling and optimal placement of piezoelectric actuators in isotropic plates using genetic algorithms , 1999 .

[23]  Michael N. Vrahatis,et al.  Unified Particle Swarm Optimization for Solving Constrained Engineering Optimization Problems , 2005, ICNC.

[24]  Lin Ye,et al.  Active control of a flexible smart beam using a system identification technique based on ARMAX , 2003 .

[25]  Scott R. White,et al.  Thick-walled composite beam theory including 3-d elastic effects and torsional warping , 1997 .

[26]  Grant P. Steven,et al.  A Review on the Modelling of Piezoelectric Sensors and Actuators Incorporated in Intelligent Structures , 1998 .

[27]  A. Mukherjee,et al.  Design of actuator profiles for minimum power consumption , 2001 .

[28]  Chul H. Park,et al.  Vibration control of beams using multiobjective state-feedback control , 2006 .

[29]  E. Smith,et al.  Formulation and evaluation of an analytical model for composite box-beams , 1991 .

[30]  Yavuz Yaman,et al.  APPLICATION OF µ-SYNTHESIS ACTIVE VIBRATION CONTROL TECHNIQUE TO A SMART FIN , 2003 .

[31]  M. Alamgir Hossain,et al.  Intelligent Active Vibration Control for a Flexible Beam System , 2004 .