Hostname: page-component-78c5997874-8bhkd Total loading time: 0 Render date: 2024-11-05T17:07:18.377Z Has data issue: false hasContentIssue false

Design of a controller for trajectory tracking for compliant mechanisms with effective vibration suppression

Published online by Cambridge University Press:  19 April 2011

P. Boscariol
Affiliation:
Dipartimento di Ingegneria Elettrica, Gestionale e Meccanica Università di Udine, Via delle Scienze 208, 33100 Udine, Italy
V. Zanotto*
Affiliation:
Dipartimento di Ingegneria Elettrica, Gestionale e Meccanica Università di Udine, Via delle Scienze 208, 33100 Udine, Italy
*
*Corresponding author. E-mail: [email protected]

Summary

In this paper, a numerical investigation of the Model Predictive Control strategy applied to flexible-link mechanisms is presented. The mechanisms used for all the tests are a planar five-link mechanisms. The tests are aimed at showing how the proposed control system can be used for the trajectory tracking and the vibration suppression. An analysis of the effects of the choice of tuning parameters is presented as well. The design of the predictive controller is based on a linearized version of an accurate nonlinear dynamic model. The effectiveness of the proposed approach is confirmed by extensive numerical results.

Type
Articles
Copyright
Copyright © Cambridge University Press 2011

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1.Fraser, A. R. and Daniel, R. W., Perturbation Techniques for Flexible Manipulators (Kluwer Academic Publisher, Norwell, MA, USA, 1991).CrossRefGoogle Scholar
2.Dwivedy, S. K. and Eberhard, P., “Dynamic analysis of flexible manipulators, a literature review,” Mech. Mach. Theory 41, 749777 (2006).CrossRefGoogle Scholar
3.Nagarajan, S. and Turcic, D. A., “Lagrangian formulation of the equation of motion for elastic mechanisms with mutual dependence between rigid body and elastic motions. Part II: Systems equations,” ASME J. Dyn. Sist. Meas. Control 112, 203214 (1990).CrossRefGoogle Scholar
4.Giovagnoni, M., “A numerical and experimental analysis of a chain of flexible bodies,” J. Dyn. Syst. Meas. Control 113, 7380 (1994).CrossRefGoogle Scholar
5.Giovagnoni, M., “Linear decoupled models for a slewing beam undergoing large rotations,” J. Sound Vib. 164, 485501 (1993).CrossRefGoogle Scholar
6.Damaren, C. and Sharf, I., “Simulation of flexible-link manipulators with inertial and geometric nonlinearities,” ASME J. Dyn. Syst. Meas. Control 117, 7487 (1993).CrossRefGoogle Scholar
7.Di Gregorio, R. and Parenti-Castelli, V., “On the characterization of the dynamic performances of planar manipulators,” Meccanica 40 267279 (2005).CrossRefGoogle Scholar
8.Ali Attia, H.Dynamic analysis of spatial linkages: A recursive approach,” Meccanica 40 267279 (2005).Google Scholar
9.Lee, A. C. and Chen, S. T., “Collocated sensor/actuator positioning and feedback design in the control of flexible structure system,” ASME J. Vib. Acoust. 116, 146154 (1994).CrossRefGoogle Scholar
10.Park, J. H. and Asada, H., “Dynamic Analysis of noncollocated flexible arms and design of torque transmission mechanism,” ASME J. Dyn. Syst. Meas. Control 116, 201207 (1994).CrossRefGoogle Scholar
11.Book, W. J., Miaza-Neto, O. and Witney, D. E., “Feedback control of two beams, two joint system with distributed flexibility,” ASME J. Dyn. Syst. Meas. Control 97, 424431 (1975).CrossRefGoogle Scholar
12.Fung, R. F. and Chen, H. H., “Dynamic analysis and vibration control of a flexible slide-crank mechanism using PM synchronous servo motor drive,” J. Sound Vib. 204, 605637 (1998).CrossRefGoogle Scholar
13.Christoforou, E. G. and Damaren, C. J., “The control of flexible links robots manipulating large payloads,” J. Robotic Syst. 17, 255271 (2000).3.0.CO;2-K>CrossRefGoogle Scholar
14.Damaren, C. J., “On the dynamics and control of flexible multibody systems with closed loops,” Int. J. Rob. Res. 3, 6275 (2000).Google Scholar
15.Willis, A. G., Bates, D., Fleming, A. J., Ninness, B. and Moheimani, S. O., “Model predictive control applied to constraints handling in active noise and vibration control,” IEEE Trans. Control Syst. Technol. 16 (1), 312 (2008).CrossRefGoogle Scholar
16.Fallah, M. S., Long, S. H., Xie, W. F. and Bhat, R., “Robust model predictive control of shimmy vibration in aircraft landing gears,” J. Aircr. 45 (6), 18721880 (2008).CrossRefGoogle Scholar
17.Wang, J., Zhang, Y., Xu, L., Jing, Y. and Zhang, S., “Torsional Vibration Suppression of Rolling Mill with Constrained Model Predictive Control,” Proceedings 6th World Congress on Intelligent Control and Automation, Dalian, China (Jun. 21–23 2006) pp. 64016405.Google Scholar
18.Ghahramania, N. O. and Towhidkhah, F., “Constrained incremental predictive controller design for a flexible joint robot,” ISA Trans. 48 (3), 321326 (2009).CrossRefGoogle Scholar
19.Hassan, M., Dubay, R., Li, C. and Wang, R., “Active vibration control of a flexible one-link manipulator using a multivariable predictive controller,” Mechatronics 17, 311323 (2007).CrossRefGoogle Scholar
20.Fan, T. and De Silva, C. W., “Dynamic modelling and model predictive control of flexible-link manipulators,” Int. J. Robot. Autom. 23 (4), pp. 227234 (2008).Google Scholar
21.Boscariol, P., Gasparetto, A. and Zanotto, V., “Vibration Reduction in a Single-Link Flexible Mechanism Trough the Synthesis of an MPC Controller,” Proceedings of the IEEE International Conference on Mechatronics, (ICM '09), Malaga, Spain (2009) pp. 16.Google Scholar
22.Boscariol, P., Gasparetto, A. and Zanotto, V., “Model predictive control of a flexible links mechanism,” J. Intell. Robot. Syst. 58 (2), 125147 (2010).CrossRefGoogle Scholar
23.Caracciolo, R., Richiedei, D., Trevisani, A. and Zanotto, V., “Robust mixed-norm position and vibration control of flexible link mechanisms,” Mechatronics 15, 767791 (2005).CrossRefGoogle Scholar
24.Caracciolo, R. and Trevisani, A., “Simultaneous rigid-body motion and vibration control of a flexible four-bar linkage,” Mech. Mach. Theory, 36 (2), 221243 (2001).CrossRefGoogle Scholar
25.Gasparetto, A., “Accurate modeling of a flexible-link planar mechanism by means of a linearized model in the state-space form for design of a vibration control,” J. Sound Vib. 240 (2), 241262 (2001).CrossRefGoogle Scholar
26.Maciejowski, J. M., Predictive Control with Constraints (Prentice Hall, Upper Saddle River, NJ, USA, 2002).Google Scholar
27.Wang, L., Model Predictive Control System Design and Implementation using Matlab (Spinger-Verlag, London, UK, 2009).Google Scholar
28.Camacho, E. F. and Bordons, C., Model Predictive Control (Springer, New York, USA, 2004).Google Scholar