Rejection of bounded disturbances via invariant ellipsoids technique

Proceedings of the IEEE Conference on Decision and Control

Volumn , Issue , 2006, Pages 1429-1434

  Polyak, Boris T ^a   Nazin, Alexander V ^a   Topunov, Michael V ^a   Nazin, Sergey A ^a  

^a TRAPEZNIKOV INSTITUTE OF CONTROL SCIENCES   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

DISCRETE TIME CONTROL SYSTEMS; DYNAMICAL SYSTEMS; FEEDBACK CONTROL; OPTIMIZATION;

BOUNDED DISTURBANCES; DISCRETE TIME CASES; ELLIPSOIDS;

INVARIANCE;

EID: 39649113306     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/cdc.2006.377785     Document Type: Conference Paper

References (16)

1. J. Abedor, K. Nagpal and K. Poolla, "A linear matrix inequality approach to peak-to-peak gain minimization", Int. J. Robust and Nonlinear Control, vol. 6, 1996, pp. 899-927.
2. D.P. Bertsekas and I.B. Rhodes, "On the minimax reachability of target sets and target tubes", Automatica, vol. 7, 1971, pp. 233-247.
3. D.P. Bertsekas and I.B. Rhodes, "Recursive state estimation for a setmembership description of uncertainty", IEEE Trans. Autom. Control, vol. 16, 1971, pp. 117-128.
4. F. Blanchini and M. Sznaier, "Persistent disturbance rejection via static state feedback", IEEE Trans. Autom. Control, vol. 40, 1995, pp. 1127-1131.
5. F. Blanchini, "Set invariance in control -a survey", Automatica, vol. 35, 1999, pp. 1747-1767.
6. S. Boyd, L. El Ghaoui, E. Ferron and V Balakrishnan, Linear Matrix Inequalities in System and Control Theory, SIAM, Philadelphia; 1994.
7. F.L. Chernousko, State Estimation for Dynamic Systems, CRC Press, Boca Raton; 1994.
8. 1-Optimal feedback controllers for MIMO discrete-time systems", IEEE Trans. Autom. Control, vol. 32, 1987, pp. 314-322.
9. N. Elia and M.A. Dahleh, "Minimization of the worst case peakto-peak gain via dynamic programming: state feedback case", IEEE Trans. Autom. Control, vol. 45, 2000, pp. 687-701.
10. D. Glover and F. Schweppe, "Control of linear dynamic systems with set constrained disturbances", IEEE Trans. Autom. Control, vol. 16, 1971, pp. 411-423.
11. B.T Polyak, "Convexity of quadratic transformations and its use in control and optimization", J. Opt. Theory Appl., vol. 99, 1998, pp. 553-583.
12. B.T Polyak, S.A. Nazin, C. Durieu and E. Walter, "Ellipsoidal Parameter or State Estimation Under Model Uncertainty", Automatica, vol. 40, 2004, pp. 1171-1179.
13. F.C. Schweppe, Uncertain Dynamic Systems, Prentice Hall, Englewood Cliffs, NJ; 1973.
14. J.S. Shamma and K.-Y. Tu, "Set-valued observers and optimal disturbance rejection", IEEE Trans. Autom. Control, vol. 44, 1999, pp. 253-264.
15. 1 norm?" in American Control Conference, Seattle, WA, 1995, pp. 944-945.
16. M. Vidyasagar, "Optimal rejection of persistent bounded distur-bances", IEEE Trans. Autom. Control, vol. 31, 1986, pp. 527-535.