zbMATH — the first resource for mathematics

Geometry Search for the term Geometry in any field. Queries are case-independent.
Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact.
"Topological group" Phrases (multi-words) should be set in "straight quotation marks".
au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted.
Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff.
"Quasi* map*" py: 1989 The resulting documents have publication year 1989.
so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14.
"Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic.
dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles.
py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses).
la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
any anywhere an internal document identifier
au author, editor ai internal author identifier
ti title la language
so source ab review, abstract
py publication year rv reviewer
cc MSC code ut uncontrolled term
dt document type (j: journal article; b: book; a: book article)
Analysis of a high-order iterative learning control algorithm for uncertain nonlinear systems with state delays. (English) Zbl 0912.93031
The authors propose and analyse a new high-order learning control algorithm for a class of nonlinear systems characterized by uncertainty and state delays. The method is enriched by interesting simulation results.

93C10Nonlinear control systems
Full Text: DOI
[1] Ahn, H.; Choi, C.; Kim, K.: Iterative learning control for a class of nonlinear systems. Automatica 29, 1575-1578 (1993) · Zbl 0790.93063
[2] Arimoto, S.; Kawamura, S.; Miyazaki, F.: Bettering operation of robots by learning. J. robotic systems 1, No. 2, 123-140 (1984)
[3] Bien, Z.; Huh, K. M.: Highorder iterative learning control algorithm. IEE proc. Pt.-D 136, No. 3, 105-112 (1989) · Zbl 0731.93047
[4] Bondi, P.; Casalino, G.; Gambardella, L.: On the iterative learning control theory for robotic manipulators. IEEE J. Robotics automation 4, 14-22 (1988)
[5] Chen, Y.; Wen, C.; Sun, M.: A robust high-order P-type iterative learning controller using current iteration tracking error. Int. J. Of control 68, 331-342 (1997) · Zbl 0886.93036
[6] Corke, P. I.; Armstrong-Hélouvry, B.: A meta-study of PUMA 560 dynamicsa critical appraisal of literature data. Robotica 13, 253-258 (1995)
[7] Craig, J. (1984). Adaptive control of manipulators through repeated trials. In Proc. Amer. Control Conf., San Diego, CA, pp. 1566-1573.
[8] De Luca, A.; Panzieri, S.: An iterative scheme for learning gravity compensation in flexible robot arms. Automatica 30, 993-1002 (1994) · Zbl 0800.93816
[9] Geng, Z., J. D. Lee, R. L. Carroll and L. H. Haynes (1990). Learning control system design based on 2-d theory--an application to parallel link manipulator. In Proc. 1990 IEEE Int. Conf. on Robotics and Automation, pp. 1510-1515.
[10] Hauser, J. (1987). Learning control for a class of nonlinear systems. In Proc. 26th IEEE Conf. on Decision and Control, Los Angles, CA, pp. 859-860.
[11] Heinzinger, G., Fenwick, D., B. Paden and F. Miyazaki (1989). Robust learning control. In Proc. 28th IEEE Conf. on Decision and Control, Tempa, FL, pp. 436-440.
[12] Heinzinger, G.; Fenwick, D.; Paden, B.; Miyazaki, F.: Stability of learning control with disturbances and uncertain initial conditions. IEEE trans. Automat. control 37, No. 1, 110-114 (1992)
[13] Horowitz, R.; Messner, W.; Boals, M.: Exponential convergence of a learning controller for robot manipulator. IEEE trans. Automat. control 36, No. 7, 890-894 (1991) · Zbl 0762.93062
[14] Ioannou, P. A.; Sun, J.: Robust adaptive control. (1996) · Zbl 0839.93002
[15] Jang, T. -J.; Choi, C. -H.; Ahn, H. -S.: Iterative learning control in feedback systems. Automatica 31, No. 2, 243-245 (1995) · Zbl 0830.93034
[16] Kuc, T. -Y.; Lee, J. S.; Nam, K.: An iterative learning control theory for a class of nonlinear dynamic systems. Automatica 28, 1215-1221 (1992) · Zbl 0775.93092
[17] Lee, H. -S.; Bien, Z.: Study on robustness of iterative learning control with nonzero initial error. Int. J. Of control 64, 345-359 (1996) · Zbl 0850.93275
[18] Messner, W.; Horowitz, R.; Kao, W.; Boals, M.: A new adaptive learning rule. IEEE trans. Automat. control 36, No. 2, 188-197 (1991) · Zbl 0758.93086
[19] Oh, S.; Bien, Z.; Suh, I.: An iterative learning control method with application for the robot manipulator. IEEE J. Robotics automation 4, No. 5, 508-514 (1988)
[20] Sugie, T.; Ono, T.: An iterative learning control law for dynamical systems. Automatica 27, No. 4, 729-732 (1991)
[21] Yamada, M., L. Xu and O. Saito (1996). 2D model-following servo system. In Proc. 13th IFAC Triennial World Congress, San Francisco, pp. 291-296. · Zbl 0920.93024