A new parameterization method for all stabilizing controllers of nD systems without coprime factorizability

Proceedings - IEEE International Symposium on Circuits and Systems

Volumn 3, Issue , 2003, Pages

  Mori, Kazuyoshi ^a  

^a UNIVERSITY OF AIZU   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

MATRIX ALGEBRA; PARAMETER ESTIMATION; POLYNOMIALS; SYSTEM STABILITY;

COPRIME FACTORIZABILITY;

CONTROL EQUIPMENT;

EID: 0037744794     PISSN: 02714310     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (15)

1. C. A. Desoer, R. W. Liu, J. Murray, and R. Saeks. Feedback system design: The fractional representation approach to analysis and synthesis. IEEE Trans. Automat. Contr., AC-25:399-412, Mar. 1980.
2. n] and polynomial solutions of a system of linear equations. In Proc. of the SYMSAC'86, pages 222-224, 1986.
3. V. Kučra. Stability of discrete linear feedback systems. In Proc. of the IFAC World Congress, 1975. Paper No.44-1.
4. Z. Lin. Output feedback stabilizability and stabilization of linearn-D systems. In Multidimensional Signals, Circuits and Systems. New York, NY: Taylor & Francis, 2001.
5. Z. Lin. Feedback stabilization of MIMO 3-D linear systems. IEEE Trans. Automat. Contr., 44:1950-1955, Oct. 1999.
6. H.M. Möller and F. Mora. New constructive methods in classical ideal theory. Journal of Algebra, 100(1): 138-178, 1986.
7. K. Mori. Parameterization of stabilizing controllers over commutative rings with application to multidimensional systems. IEEE Trans. Circuits and Syst. I, 49:743-752, Jun. 2002.
8. K. Mori and K. Abe. Feedback stabilization over commutative rings: Further study of coordinate-free approach. SIAM J. Control and Optim., 39(6): 1952-1973, 2001.
9. V.R. Raman and R. Liu. A necessary and sufficient condition for feed-back stabilization in a factor ring. IEEE Trans. Automat. Contr., AC-29:941-943, Oct. 1984.
10. S. Shankar and V. R. Sule. Algebraic geometric aspects of feedback stabilization. SIAM J. Control and Optim., 30(1):11-30, 1992.
11. V. R. Sule. Feedback stabilization over commutative rings: The matrix case. SIAM J. Control and Optim., 32(6):1675-1695, 1994.
12. V.R. Sule. Corrigendum: Feedback stabilization over commutative rings: The matrix case. SIAM J. Control and Optim., 36(6):2194-2195, 1998.
13. M. Vidyasagar. Control System Synthesis: A Factorization Approach. Cambridge, MA: MIT Press, 1985.
14. M. Vidyasagar, H. Schneider, and B. A. Francis. Algebraic and topological aspects of feedback stabilization. IEEE Trans. Automat. Contr., AC-27:880-894, Apr. 1982.
15. D.C. Youla, H.A. Jabr, and J.J. Bongiorno, Jr. Modern Wiener-Hopf design of optimal controllers, Part II: The multivariable case. IEEE Trans. Automat. Contr., AC-21:319-338, Mar. 1976.