Infinite dimensional observer for a flexible robot arm with a tip load

Asian Journal of Control

Volumn 10, Issue 4, 2008, Pages 456-461

  Nguyen, Tu Due ^a   Egeland, Olav ^a  

^a NORWEGIAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Norway)

Author keywords

Beam equation; Distributed parameter system; Infinite dimensional observer; Semigroup

Indexed keywords

DISTRIBUTED PARAMETER CONTROL SYSTEMS; FLEXIBLE MANIPULATORS; MACHINE DESIGN;

BEAM EQUATION; BOUNDARY MEASUREMENTS; DISTRIBUTED PARAMETER SYSTEMS; EULER BERNOULLI BEAMS; EXPONENTIALLY STABLE; INFINITE DIMENSIONAL; SEMI-GROUP; STABILITY OF SOLUTIONS;

ROBOTIC ARMS;

EID: 56149114896     PISSN: 15618625     EISSN: None     Source Type: Journal    
DOI: 10.1002/asjc.45     Document Type: Article

References (20)

1. Chen, G., " Energy decay estimates and exact boundary value controllability for the wave equation in a bounded domain, " J. Math. Pures. Appl, Vol. 58, pp. 249-273 (1979).
2. Canon, R. H. and H. Schmitz, Precise Control of Flexible Manipulators, The MIT Press, Cambridge, MA, pp. 841-861 (1984).
3. Chen, G., M. C. Delfour, A. M. Krall, and G. Payre, " Modelling, stabilization and control of serially connected beams, " SI AM J. Control Opt., Vol. 25, pp. 526-546 (1987).
4. Conrad, F. and F. Morgtil, " On the stabilization of a flexible beam with a tip mass, " SI AM J. Control Opt., Vol. 36, No. 6, pp. 1962-1986 (1998).
5. Coron, J. M. and B. D'Andrea-Novel, " Stabilization of a rotating body-beam without damping, " IEEE Trans. Autom. Control, Vol. 43, pp. 608-618 (1998).
6. Morgtil, O., " Orientation and stabilization of a flexible beam attached to a rigid body, " IEEE Trans. Autom. Control, Vol. 36, No. 8, pp. 953-963 (1991).
7. Wang, D. and M. Vidyasagar, Observer-controller stabilization of a class of manipulators with a single flexible link, Proc. IEEE Int. Conf. Robotics Autom., Sacramento, CA (1991).
8. Zhang, R, D. M. Dawson, M. S. Queiroz, and Vedagarbda, Boundary control of the Timoshenko beam with free-end mass/inertia dynamics, Proc. IEEE Int. Conf. Decis. Control, San Diego (1997).
9. Gauthier, J. P. and I. Kupka, " A separation principle for bilinear systems with dissipative drifts, " IEEE Trans. Autom. Control, Vol. 25, No. 1, pp. 1-18 (1991).
10. Li, Y. F. and X. B. Chen, " End-point sensing and state observation of a flexible-link robot, " IEEE Trans. Mechatron., Vol. 6, No. 3, pp. 351-356 (2001).
11. Tomei, P., " An observer for flexible joint robots, " IEEE Trans. Autom. Control, Vol. 35, No. 6, pp. 739-743 (1990).
12. Balas, M. J., " Do all linear flexible structures have convergent second-order observers, " AIAA Quid., Control, Dyn., Vol. 22, No. 6, pp. 905-908 (1999).
13. Demetriou, M. A., " Second order observers for second order distributed parameter systems, " Syst. Control Lett., Vol. 51, pp. 225-234 (2004).
14. Kristiansen. D., " Modeling of cylinder gyroscopes and observer design for nonlinear oscillations, " Ph.D. Thesis, NTNU, Trondheim, Norway (2000).
15. Lohmiller, W. and J. J. E. Slotine, " On contraction analysis for nonlinear systems, " Automatica, Vol. 34, No. 6, pp. 683-696 (1998).
16. Xu, C.-Z., J. Deguenon, and G. Sallet, " Infinite dimensional observers for vibrating systems, " Proc. IEEE Int. Conf. Decis. Control, San Diego, CA (2006).
17. Nguyen, T. D. and O. Egeland, " Tracking and observer design for a motorized Euler-Bernoulli beam, " Proc. IEEE Int. Conf. Decis. Control, Maui, Hawaii (2003).
18. Luenberger, D. L., Introduction to Dynamic Systems, Wiley, New York (1979).
19. Pazy, A., Semigroups of Linear Operators and Applications to Partial Differential Equations, Springer-Verlag, New York (1983).
20. Evans, L. C, " Partial Differential Equations, " American Mathematical Society, Vol. 19 (1998).