Global control of flexural and torsional deformations of one-link mechanical system
Kybernetika, Tome 33 (1997) no. 1, pp. 75-86 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Classification : 70Q05, 73K50, 93C85, 93C95
@article{KYB_1997_33_1_a6,
     author = {Cotsaftis, Michel},
     title = {Global control of flexural and torsional deformations of one-link mechanical system},
     journal = {Kybernetika},
     pages = {75--86},
     year = {1997},
     volume = {33},
     number = {1},
     mrnumber = {1486298},
     zbl = {1002.70570},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_1997_33_1_a6/}
}
TY  - JOUR
AU  - Cotsaftis, Michel
TI  - Global control of flexural and torsional deformations of one-link mechanical system
JO  - Kybernetika
PY  - 1997
SP  - 75
EP  - 86
VL  - 33
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/KYB_1997_33_1_a6/
LA  - en
ID  - KYB_1997_33_1_a6
ER  - 
%0 Journal Article
%A Cotsaftis, Michel
%T Global control of flexural and torsional deformations of one-link mechanical system
%J Kybernetika
%D 1997
%P 75-86
%V 33
%N 1
%U http://geodesic.mathdoc.fr/item/KYB_1997_33_1_a6/
%G en
%F KYB_1997_33_1_a6
Cotsaftis, Michel. Global control of flexural and torsional deformations of one-link mechanical system. Kybernetika, Tome 33 (1997) no. 1, pp. 75-86. http://geodesic.mathdoc.fr/item/KYB_1997_33_1_a6/

[1] R. J. Adams: Sobolev Spaces. Academic Press, New York 1975. | MR | Zbl

[2] M. J. Balas: Active control of flexible systems. J. Optim. Theory Appl. 25 (1978), 3, 415. | MR | Zbl

[3] J. R. Birk R. B. Kelly: An overview of the basic research needed to advance the state of knowledge in robotics. IEEE Trans. Systems Man Cybernet. SMC-11 (1981), 574.

[4] N. N. Bogoliubov Y. A. Mitropolski: Asymptotic Methods in the Theory of Nonlinear Oscillations. Gordon and Breach, Industan Publ. Corp., New York Delhi 6, 1961.

[5] W. J. Book: Recursive Lagrangian dynamics of flexible manipulator arms. Internat. J. Robotic Res. 3 (1984), 3, 87.

[6] W. J. Book T. E. Alberts G. G. Hastings: Design strategies for high-speed lightweight robots. Computers in Mechanical Engineering (1986), 26.

[7] S. Cetinkunt W. J. Book: Symbolic modeling and dynamical simulation of robotic manipulators with compliant links and joints. Robotics and Computer -- Integгated Manufacturing 5 (1987), 4, 301 and In: Proc. 1987 IEEE Intern. Conf. on Robotics and Automation, Raleigh 1987, Vol. III, p. 2074.

[8] R. W. Clough J. Penzien: Dynamics of Structures. McGraw Hill, New York 1975.

[9] M. Cotsaftis: On general theorems of stability. In: Internat. IUTAM Symp. on Instability in Continuous Systems, Herrenalb (E. Leipholtz ed.), Springer-Verlag, Berlin 1971, p. 204. | MR

[10] M. Cotsaftis: Introduction à l'Analyse des Systèmes Complexes. Lecture Notes, INSTN, 1988.

[11] M. Cotsaftis: Direct stability and control of deformable and compliant N-link гobotic systems. In: Proc. WAM ASME 1991, Vol. DSC-31, p. 39.

[12] M. Cotsaftis: Global control of N-link deformable mechanical systems. In: Proc. WAM ASME 1993, New Orleans 1993.

[13] N. Dunford J. T. Schwartz: Linear Operators. Part II. Wiley, New York 1963. | MR

[14] G. G. Hastings J. F. Dorsey W. J. Book: Applications of balanced realizations to estimate model order requirements for flexible manipulatoгs. In: ASME Winter Annual Meeting, Boston 1987.

[15] E. J. Haug S. C. Wu S. S. Kim: Dynamics of flexible machines, a vaгiational approach. In: Dynamics of Multibody Systems (G. Bianchi, W. Schielen, eds.), Springer-Verlag, Berlin 1986, p. 55.

[16] P. C. Hugues: Dynamics of a chain of flexible bodies. J. Astronaut. Sci. 24 (1979), 4, 359. | MR

[17] R. M. Jones: Mechanics of Composite Materials. Mc Graw Hill, New York 1975.

[18] H. Krisnan M. Vidyasagar: Control of a single link flexible beam using a Hankel-norm based reduced order model. In: Proc. IEEE Intern. Conf. on Robotics and Automation, Philadelphia 1988, Vol. I, p. 9.

[19] J. LaSalle S. Lefschetz: Stability by Lyapunov Direct Method with Applications. Academic Press, New York 1961. | MR

[20] A. M. Letov: Stability of Nonlinear Control Systems. Moscow 1962.

[21] J. L. Lions: Equations Différentielles Opérationnelles et Problèmes aux Limites. Springer-Verlag, Berlin 1961. | MR | Zbl

[22] K. H. Low M. Vidyasagar: A Lagrangian formulation of the dynamic model for flexible manipulator systems. J. Dynamic Systems Measurement Control 110 (1988), 175.

[23] D. C. McFarlaine K. Glover: Robust Controller Design Using Normalized Coprime Factor Plant Description. (Lecture Notes in Control and Information Sciences 138) Springer-Verlag, Berlin 1990. | MR

[24] L. Meirovitch: Analytic Methods in Vibrations. McMillan, New York 1967.

[25] A. Midha A. G. Erdman D. A. Frohrib: Finite element approach to mathematical modelling of high speed elastic linkages. Mechanisms and Machine Theory 13 (1978), 603.

[26] N. Minorsky: Theory of Nonlinear Control Systems. McGraw-Hill, New York 1969. | MR

[27] Y. A. Mitropolski: Problémes de la Théorie Asymptotique des Oscillations Non Stationnaires. Gauthier-Villars, Paris 1966. | MR

[28] Y. Sakawa: Feedback control of second order evolution equation with unbounded observation. Internat. J. Control 41 (1985), 3, 713. | MR

[29] A. Sharon: Enhancement of Robot Accuracy Using a Macro/Micro Manipulator System. S. M. Thesis, Mechanical Engineering Dept, MIT, Cambridge 1983.

[30] T. J. Tarn A. K. Bejczy X. Ding: On the modelling of flexible robot arms for control. In: Analysis and Control of Nonlinear Systems (C. I. Byrnes, C. F. Martin, R. E. Saeks, eds.), Elsevier Sci. Pub., Amsterdam 1988, p. 91.

[31] R. Temam: Infinite Dimensional Dynamical System Dynamics in Mechanics and Physics. Springer-Verlag, New York 1988. | MR

[32] S. Timoshenko D. H. Young W. Weaver, Jr.: Vibration Problems in Engineering. Wiley, New York 1974.

[33] A. Truckenbrodt: Effects of elasticity on the performance of industrial robots. In: Proc. IASTED Internat. Symposium on Robotics, Davos 1981, p. 52.

[34] F. Turcic A. Midha: Generalized equations of motion for the dynamic analysis of elastic mechanism systems. ASME J. Dynamic Systems Measurement Control 106 (1984), 243.

[35] V. I. Utkin: Sliding Modes in Control and Optimization. Springer-Verlag, New York 1992. | MR | Zbl

[36] R. C. Winfrey: Dynamics of Mechanisms with Elastic Links. Ph. D. Thesis, Univ. of California, Los Angeles 1969.