H∞ control of systems with multiple I/O delays via decomposition to adobe problems

IEEE Transactions on Automatic Control

Volumn 50, Issue 2, 2005, Pages 199-211

  Meinsma, Gjerrit ^a   Mirkin, Leonid ^b  

^a UNIVERSITY OF TWENTE   (Netherlands)

^b TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

Dead time compensation; H control; Time delay systems

Indexed keywords

CONTROL SYSTEM ANALYSIS; DELAY CONTROL SYSTEMS; FEEDBACK CONTROL; MATHEMATICAL OPERATORS; MATRIX ALGEBRA;

ADOBE DELAY OPERATORS; DEAD TIME COMPENSATION; MULTIPLE INPUT-OUTPUT DELAYS;

OPTIMAL CONTROL SYSTEMS;

EID: 14644424593     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2004.841936     Document Type: Article

References (21)

1. D. L. Kleinman, "Optimal control of linear systems with time-delay and observation noise," IEEE Trans. Autom. Control, vol. 14, no. 5, pp. 524-527, May 1969.
2. M. A. Soliman and W. H. Ray, "Optimal feedback control for linear-quadratic systems having time delays," Int. J. Control, vol. 15, no. 4, pp. 609-627, 1972.
3. C. Foias, H.Özbay, and A. Tannenbaum, Robust Control of Infinite Dimensional Systems: Frequency Domain Methods. London. U.K.: Springer-Verlag, 1996, vol. 209, Lecture Notes in Control and Information Sciences.
4. ∞ control of system with I/O delay: A review of some problem-oriented methods," IMA J. Math. Control Inf., vol. 19, pp. 185-199, 2002.
5. ∞ Control for Distributed Parameter Systems: A State Space Approach. Boston, MA: Birkhäuser, 1993.
6. M. J. Grimble and G. Hearns, "LQG controllers for state-space systems with pure transport delays: Application to hot strip mills," Automatica, vol. 34, no. 10, pp. 1169-1184, 1998.
7. ∞ control for preview and delayed strategies," in Proc. 40th IEEE Conf. Decision and Control, Orlando, FL, 2001, pp. 991-996.
8. G. Meinsma, L. Mirkin, and Q.-C. Zhong, "Control of systems with I/O delay via reduction to a one-block problem," IEEE Trans. Autom. Control, vol. 47, no. 11, pp. 1890-1895, Nov. 2002.
9. ∞ control for dead-time systems," IEEE Trans. Autom. Control, vol. 45, no. 2, pp. 272-285, Feb. 2000.
10. L. Mirkin, "On the extraction of dead-time controllers and estimators from delay-free parametrizations," IEEE Trans. Autom. Control, vol. 48, no. 4, pp. 543-553, Apr. 2003.
11. N. F. Jerome and W. H. Ray, "High-performance multivariable control strategies for systems having time delays," AIChE J., vol. 32, no. 6, pp. 914-931, 1986.
12. G. Weiss, "Transfer functions of regular linear systems. Part I: Characterizations of regularity," Trans. Amer. Math. Soc., vol. 342, no. 2, pp. 827-854, 1994.
13. M. Green and D. J. N. Limebeer, Linear Robust Control. Upper Saddle River, NJ: Prentice-Hall, 1995.
14. ∞ Control. Boston, MA: Birkhäuser, 1996.
15. I. Gohberg and M. A. Kaashoek, "Time varying linear systems with boundary conditions and integral operators, I. The transfer operator and its properties," Int. Equat. Oper. Theory, vol. 7, pp. 325-391, 1984.
16. ∞ Control of Systems With Multiple I/O Delays via Decomposition to Adobe Problems. Part II: Simplifications and Interpretations," in Joint 44th IEEE Conf. Decision and Control and Eur. Control Conf., Seville, Spain, 2005, submitted for publication.
17. ∞ fixed-lag smoothing," presented at the 5th IFAC Workshop on Time Delay Systems, Brussels. Belgium, 2004.
18. K. Zhou, J. C. Doyle, and K. Glover, Robust and Optimal Control. Upper Saddle River, NJ: Prentice-Hall, 1995.
19. H. Bart, I. Gohberg, and M. A. Kaashoek, Minimal Factorization of Matrix and Operator Functions. Basel, Germany: Birkhäuser, 1979, vol. 1, Operator Theory.
20. ∞ space," IMA J. Math. Control Inf., vol. 14, pp. 109-136, 1997.
21. R. F. Curtain and H. Zwart, An Introduction to Infinite-Dimensional Linear Systems Theory. New York: Springer-Verlag, 1995.