Buradasınız

Anasayfa » Content

Control of a Magnetorheological Fluid Vibration Damping System via Feedback Linearization and Suboptimal Design

Journal Name:

  • Journal of Control Engineering and Technology

Publication Year:

  • 2013

Keywords (Original Language):

Author NameUniversity of AuthorFaculty of Author
Bookmark/Search this post with
Abstract (Original Language): 
The development of control systems for a two degree-of-freedom vibration suppression system using a magnetorheological (MR) fluid damper is the subject of this paper. It is assumed that system encounters impulsive disturbance forces. The objective is to use the (MR) fluid damper for the position control and vibration suppression of the payload. The control force is generated by regulating the electric current to the damper. Two control systems, based on (i) the dynamic inversion (feedback linearization) method and (ii) the state-dependent Riccati equation (SDRE) approach, for the position control of the payload and vibration suppression are derived. The dynamic inversion method yields an asymptotically stable linear second-order position error dynamics of the payload, and accomplishes vibration suppression. The SDRE design approach provides a sub-optimal control law which accomplishes asymptotic stabilization of the origin in the state space. The SDRE method considers control constraint in the design process, and uses a nonlinear quadratic performance index for minimization. Simulation results are obtained in the presence of impulsive force on the system. It is shown that in the closed-loop system, both the control systems are effective in the position regulation and vibration suppression in the system.
FULL TEXT (PDF): 
PDF icon arastirmax-control-magnetorheological-fluid-vibration-damping-system-feedback-linearization-and-suboptimal-design.pdf
  • 4
166
174
  • English

REFERENCES

References: 

G.T. Ngatu, W. Hu, and N.M. Wereley, “Adaptive Snubber-Type Magnetorheological Fluid-Elastomeric Helicopter Lag Damper,” AIAA Journal, Vol. 48, No. 3, March 2010.

S. Cetin, E. Zergeroglu, and S. Sivrioglu, “A New Semiactive Nonlinear Controller for Structures using MR Damper: Design and Experimental Validation,” Nonlinear Dynamics, Vol. 66, pp. 731-743, 2011.

Y. Shen, M.F. Golnaraghi, and G.R. Heppler, “Semi-active Vibration Control Schemes for Suspension Systems using Magnetorheological Dampers,” Journal of Vibration and Control, 12(1), pp. 3-24, 2006.

J.C. Ramallo, E.A. Johnson, and B.F. Spencer, “'Smart' Base Isolation Systems,” J. Engrg. Mech., ASCE, Vol. 128, No. 10, pp. 1088-1099, 2002.

W. Hu, N.M. Wereley, “Semi-active Linear Stroke Magnetorheological Fluid-Elastic Helicopter Lag Damper”, Journal of Guidance, Control, and Dynamics, Vol. 30, No. 2, March-April 2007.

H. Yoshika, J.C. Ramallo, and B.F. Spencer, “'Smart' Base Isolation Strategies Employing Magnetorheological Dampers,” J. Engrg. Mech., ASCE, Vol. 128, No. 5, pp. 540-551, 2002.

S.J. Dyke, B.F. Spencer, M.K. Sain, and J.D. Carlson, “Phenomenological Model of a Magnetorheological Damper”, Journal of Engineering Mechanics, ASCE, Vol. 123, No. 3, pp. 230-238, 1997.

R. Ehrgott, S.F. Masri, “Modeling the Oscillatory Dynamic Behavior of Electrorheological Materials in Shear,” Smart Mat. and Struct., Vol. 1, pp. 275-285, 1992.

H.P. Gavin, R.D. Hanson, and F.E. Filisko, “Electrorheological Dampers, Part I: Analysis and Design,” Journal of Applied Mechanics, Vol. 63, No. 3, pp. 669-675, 1996.

H.P. Gavin, R.D. Hanson, and F.E. Filisko, `Electrorheological Dampers, Part II: Analysis and Design," Journal of Applied Mechanics, Vol. 63, No. 3, pp. 676-682, 1996.

C.C. Chang, P. Roschke, “Neural Network Modeling of a Magnetorheological Damper,” J. Intelligent Material Systems and Structures, Vol. 9, pp. 755-764, 1998.

M. Kamath, M.K. Hurt, and N.M. Wereley, “Analysis and Testing of Bingham Plastic Behavior in Semi-active Electrorheological Fluid Dampers,” Smart Mat. and Struct., Vol. 5, pp. 576-590, 1996.

R.A. Snyder, G.M. Kamath, and N.M. Wereley, “Characteristics and Analysis of Magnetorheological Damper Behavior under Sinusoidal Loading,” AIAA Journal, Vol. 39, No. 7, pp. 1240-1253, 2001.

Y.T. Choi, N.M. Wereley, “Semi-active Vibration Isolation Using Magnetorheological Isolators”, SPIE's 9th Annual International Symposium on Smart Structures and Materials, San Diego, CA, 2002.

N.D. Sims, D.J. Peel, R. Stanway, A. R. Johnson, and W. A. Bullough, “The Electrorheological Long Stroke Damper: A New Modeling Technique with Experimental Validation,” Journal of Sound and Vibration, Vol. 229, No. 2, pp.207-227, 2000.

L. Pang, G.M. Kamath, N.M. Werely, “Analysis and Testing of a Linear Stroke Magnetorheological Damper”, AIAA/ASME/AHS Adaptive Structure Forum, Long Beach CA, Paper No. AIAA 98-2040, Vol. CP9803, Part 4, pp. 2841-2856, 1998.

N.M. Wereley, L. Pang, and G.M. Kamath, “Idealized Hysteresis Modeling of Electrorheological and Magnetorheological Dampers,” J. Intelligent Mat., Systems and Struct., Vol. 9, pp. 642-649, 1998.

X.Q. Ma, E.R. Wang, S. Rakheja, and C.Y. Su, “Modeling Hysteretic Characteristics of MR Fluid Damper and Model Validation,” Proceedings of the 41st IEEE Conference on Decision and Control, Las Vegas, Nevada USA, December 2002.

M. Kamath, N.M. Werely, “Nonlinear Viscoelastic-Plastic Mechanism-Based Model of an Electrorheological Damper,” Journal of Guidance, Control, and Dynamics, Vol. 20, No. 6, pp. 1125-1132, 1997.

M. Kamath, N.M. Werely, “A Nonlinear Viscoelastic-Plastic Model for Electrorheological Fluids,” Smart Materials and Structures, Vol. 6, No. 3, pp. 351-358, 1997.

G.M. Kamath, N.M. Werely, “Modeling the Damping Mechanism in Electrorheological Fluid Based Dampers,” M3DIII: Mechanics and Mechanisms of Material Damping, edited by V.K. Kinra and A. Wolfden, American Society for Testing and Materials, pp. 331-348, 1997.

S.B. Choi, S.K. Lee, “A Hysteresis Model for the Field-Dependent Damping Force of a Magnetorheological Damper,” Journal of Sound and Vibration, Vol. 245, No. 2, pp. 375-383, 2001.

S.R. Hong, S.B. Choi, Y.T. Choi, and N.M. Wereley, “Comparison of Damping Force Models for an Electrorheological Fluid Damper,” Int. J. of Vehicle design, Vol. 33, No. 1A, pp. 1-19, 2003.

S.A. Burton, N. Makris, I. Konstantopoulos, and P.J. Antsaklis, “Modeling the Response of ER Damper: Phenomenology and Emulation,” J. Engrg. Mech., Vol. 122, pp. 897-906, 1996.

N. Markis, S.A. Burton, D. Hill and M. Jordan, M., “Analysis and Design of ER Damper for Seismic Protection of Structures,” J. Engrg. Mech., Vol. 122, pp. 1003-1011, 1996.

G. Leitmann, E. Reithmeier, “Semi-active Control of a Vibrating System by Means of Electrorheological Fluids”, Journal of Dynamics and Control Vol. 3, pp. 7-33, 1993.

G. Leitmann, “Semiactive Control for Vibration Attenuation,” J. Intelligent Mat., Systems and Struct., Vol. 5, pp. 841-846, 1994.

S.B. Choi, Y.T. Choi, and D.W., “A Sliding Mode Control of a Full-Car Electrorheological Suspension System via Hardware-in-the-Loop Simulation,” Journal of Dynamics Systems, Measurement and Control, Vol. 122, No. 1, pp. 114-121, 2000.

S.J. Dyke, B.F. Spencer, M.K. Sain, and J.D. Carlson, “An Experimental Study of MR dampers for Seismic Protection,” Smart. Mat. and Struct., Vol. 5, pp. 693-703, 1998.

B.F. Spencer, S.J. Dyke, and M.K. Sain, “Magnetorheological Dampers: A New Approach to Seismic Protection of Structures,” Proc. IEEE Conf. on Decision and Control, Vol. 1, pp. 676-681, 1996.

F. Yi, S.J. Dyke, “Structural Control Systems: Performance Assessment,” Proc. of American Control Conf., Chicago, IL, 2000.

X. Wang, F. Gordaninejad, “Lyapunov-Based Control of a Bridge Using Magneto-Rheological Fluid Dampers,” Journal of Intelligent Material System and Structures, in press, 2003.

Y.T. Choi, N.M. Werely, “Shock Isolation Systems using Magnetorheological Dampers,” Proc. of SPIE, Vol. 5386, 2004.

Y.T. Choi, N.M. Werely, “Vibration Control of a Landing Gear System Featuring Electrorheological Fluids,” Journal of Aircraft, Vol. 40, No. 3, pp. 432-439, 2003.

W. Yim, S.N. Singh, M.A. Minnicino, “Semi-active Control of Magnetorheological Damper system: A Lyapunov Design,” SPIE Conference, 2004.

S.N. Singh, W.J. Rugh, “Decoupling in a class of nonlinear systems by state feedback,” Transactions ASME Journal of Dynamic System, Measurement and Control, Vol. 94, pp. 323-329, 1972. A. Isidori, Nonlinear Control Systems, Springer-Verlag, N.Y., 1989.

G.B. Maganti, S.N. Singh and W. Yim, “On absolute stability and semi-active control of a magnetorheological fluid vibration suppression system,” Proc. of Internl. Conf. on Systems Engineering, Las Vegas, NV., 2005.

J.R. Cloutier, C.P. Mracek, D.B. Ridgely, and K.D. Hammett, “State Dependent Riccati Equation Techniques: Theory and Applications,” Notes From the SDRE Workshop Conducted at the American Control Conference, Albuquerque, NM, 1998.

J.R. Cloutier, D.T. Stansbery, “The Capabilities and Art of State-Dependent Riccati Equation-Based Design,” Proceedings of the American Control Conference, Anchorage, AK, May 8-10, 2002.

Thank you for copying data from http://www.arastirmax.com