H2-optimal control of systems with multiple i/o delays: Time domain approach

Automatica

Volumn 41, Issue 7, 2005, Pages 1229-1238

  Moelja, Agoes A ^a   Meinsma, Gjerrit ^a  

^a UNIVERSITY OF TWENTE   (Netherlands)

Author keywords

H2 control; LQG control; Time delay systems

Indexed keywords

CONTROL EQUIPMENT; DIFFERENTIAL EQUATIONS; FREQUENCY DOMAIN ANALYSIS; IMPULSE RESPONSE; MATRIX ALGEBRA; PARAMETER ESTIMATION; PROBLEM SOLVING; TIME DOMAIN ANALYSIS;

H2 CONTROL; LQG CONTROL; MEASUREMENT DELAYS; TIME DELAY SYSTEMS;

OPTIMAL CONTROL SYSTEMS;

EID: 18444376494     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2005.01.016     Document Type: Article

References (24)

1. B.D.O. Anderson, and J.B. Moore Optimal control linear quadratic methods 1989 Prentice-Hall Englewood Cliffs, NJ
2. R.F. Curtain, and H.J. Zwart An introduction to infinite-dimensional linear systems theory 1995 Springer New York
3. M.C. Delfour The linear quadratic optimal control problem with delays in the state and control variables; a state space approach SIAM Journal of Control and Optimization 24 1986 835 883
4. M.C. Delfour, and S.K. Mitter Controllability, observability, and optimal feedback control of affine hereditary differential systems SIAM Journal of Control 10 1972 298 328
5. M.C. Delfour, and S.K. Mitter Hereditary differential systems with constant delays I; general case Journal of Differential Equations 12 1972 213 235
6. M.C. Delfour, C. McCalla, and S.K. Mitter Stability and infinite time quadratic cost problem for linear hereditary differential systems SIAM Journal of Control 13 1975 48 88
7. C. Foias, H. Özbay, and A. Tannenbaum Robust Control of Infinite Dimensional Systems 1996 Springer Berlin
8. M.J. Grimble, and G. Hearns LQG controllers for state-space systems with pure transport delays: application to hot strip mills Automatica 34 1998 1169 1184
9. D.L. Kleinman Optimal control of linear systems with time-delay and observation noise IEEE Transactions on Automatic Control 14 5 1969 524 527
10. Kojima, A. (2004). H 2 performance on preview feedforward action. In Proceedings of the 16th MTNS. Leuven, Belgium.
11. Kojima, A., & Ishijima, S. (2003). Formulas on preview and delayed H ∞ control. In Proceedings of the 42nd IEEE CDC (pp. 6532-6538). Hawaii, USA.
12. H. Kwakernaak, and R. Sivan Linear Optimal Control Systems 1972 Wiley-Interscience New York
13. Meinsma, G., & Mirkin, L. (2003). H ∞ control of systems with multiple i/o delays. In Preprints of IFAC workshop on time-delay system. Rocquencourt, France.
14. Meinsma, G., & Zwart, H. (1998). The standard H ∞ control problem for dead-time systems. In Proceedings of the MTNS '98. Padova, Italy.
15. G. Meinsma, and H. Zwart On H ∞ control of dead-time systems IEEE Transactions on Automatic Control 45 2 2000 272 285
16. G. Meinsma, L. Mirkin, and Q.C. Zhong Control of systems with I/O delay via reduction to one-block problem IEEE Transactions on Automatic Control 47 11 2002 1890 1895
17. L. Mirkin On the extraction of dead-time controllers and estimators from delay-free parametrization IEEE Transactions on Automatic Control 48 2003 543 553
18. L. Mirkin, and N. Raskin Every stabilizing dead-time controller has an observer-predictor-based structure Automatica 39 2003 1747 1754
19. Moelja, A. A., & Meinsma, G. (2004). H 2 -optimal control of systems with multiple i/o delays: time domain approach. In Proceedings of MTNS 2004. Leuven, Belgium.
20. Moelja, A. A., Meinsma, G., & Kuipers, J. (2003). H 2 -optimal control of systems with multiple i/o delays. In Germain Garcia (Ed.), Preprints of the fourth IFAC workshop on time delay systems. Rocquencourt, France.
21. A.J. Pritchard, and D. Salamon The linear quadratic optimal control problem for infinite-dimensionals systems II: retarded system with delays in control and observation IMA Journal of Mathematical Information 2 1985 335 362
22. A.J. Pritchard, and D. Salamon The linear quadratic optimal control problem for infinite dimensional systems with unbounded input and output operators SIAM Journal of Control and Optimization 25 1987 121 144
23. G. Tadmor Robust control in the gap: a state-space solution in the presence of a single input delay IEEE Transactions on Automatic Control 42 1997 1330 1335
24. K. Zhou, and J.C. Doyle Essentials of robust control 1998 Prentice-Hall Englewood Cliffs, NJ