Stability analysis of iterative learning control system with interval uncertainty

IFAC Proceedings Volumes (IFAC-PapersOnline)

Volumn 16, Issue , 2005, Pages 282-287

  Ahn, Hyo Sung ^a   Moore, Kevin L ^b   Chen, Yang Quan ^a  

^a Utah State University   (United States)

^b JOHNS HOPKINS UNIVERSITY APPLIED PHYSICS LABORATORY   (United States)

Author keywords

Interval uncertainty; Iterative learning control; Monotonic convergence; Schur stability; Vertex matrices

Indexed keywords

INTERVAL UNCERTAINTY; ITERATIVE LEARNING CONTROL; MONOTONIC CONVERGENCE; SCHUR STABILITY; VERTEX MATRICES;

ASYMPTOTIC STABILITY; AUTOMATION; LEARNING ALGORITHMS; TWO TERM CONTROL SYSTEMS; UNCERTAINTY ANALYSIS;

CONTROL SYSTEM STABILITY;

EID: 79960723506     PISSN: 14746670     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (16)

1. P. Batra. On necessary conditions for real robust Schur-stability. IEEE Trans. on Automatic Control, 48(2):259-261, 2003.
2. S. P. Bhattacharyya, H. Chapellat, and L. H. Keel. Robust Control: The Parameter Approach. Prentice Hall, 1995.
3. YangQuan Chen and K. L. Moore. On D-alphatype iterative learning control. In Proceedings of the 28th IEEE Conference on Decision and Control, pages 4451-4456, Orlando, FL, US, December 2001. IEEE.
4. YangQuan Chen and K. L. Moore. An optimal design of PD-type iterative learning controller with monotonic convergence. In IEEE International Symposium on Intelligent Control, pages 55-60, Vancouver, British Comlumbia, Canada, October 27-30 2002a. IEEE ISIC.
5. YangQuan Chen and K. L. Moore. PI-type iterative learning control revisited. In 2002 American Control Conference, pages 2138-2143, Anchorage, Alaska, USA., May 8-10 2002b. AACC.
6. J. J. D. Delgado-Romero, R. S. Gonzalez-Garza, J. A. Rojas-Estrada, G. Acosta-Villarreal, and F. Delgado-Romero. Some very simple Hurwitz and Schur stability tests for interval matrices. In Proceedings of the 30th Conference on Decision and Control, pages 2980-2981, Kobe, Japan, December 1996. IEEE.
7. H. S. Han and J. G. Lee. Necessary and sufficient conditions for stability of time varying discrete interval matrices. Int. J. Control, 59:1021-1029, 1994.
8. C. I. Jiang. Sufficient conditions for the asymptotic stability of interval matrices. Int. J. Control, 46:1803-1810, 1987.
9. H. Kokame and T. Mori. A Kharitonov-like theorem for interval polynomial matrices. System and Control Letters, 16:107-116, 1991.
10. K. L. Moore. Iterative learning control for deterministic systems. Advances in Industrial Control. Springer-Verlag, 1993.
11. K. L. Moore and YangQuan Chen. An iterative learning control algorithm for systems with measurement noise. In Proc. of the 38th IEEE Conference on Decision and Control, pages 270-275, Phoenix, Arizona USA, Dec. 1999. IEEE.
12. K. L. Moore and YangQuan Chen. On monotonic convergence of high order iterative learning update laws. In Invited Session on High-order Iterative Learning Control at The 15-th IFAC Congress, Barcelona, Spain, July 21-26 2002. IFAC.
13. Kevin L. Moore. Multi-loop control approach to designing iterative learning controllers. In Proceedings of the 37th IEEE Conference on Decision and Control, pages 666-671, Tampa, Florida, USA, 1998.
14. Djordjija B. Petkovski. Stability analysis of interval matrices: Improved bounds. Int. J. Control, 48(6):2265-2273, 1988.
15. J. Rohn. Positive definiteness and stability of interval matrices. SIAM J. Matrix Anal. Appl., 15(1):175-184, 1994.
16. Mau-Hsiang Shih, Yung-Yih Lur, and Chin-Tzong Pang. An ineqality for the spectral radius of an interval matrix. Linear Algebra and Its Applications, 274:27-36, 1998.