Interval methods for nonlinear identification and robust control

Proceedings of the IEEE Conference on Decision and Control

Volumn 4, Issue , 2002, Pages 4676-4681

  Jaulin, Luc ^a   Braems, Isabelle ^b   Walter, Eric ^b  

^a University of Algiers   (France)

^b SUPELEC   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; CONSTRAINT THEORY; IDENTIFICATION (CONTROL SYSTEMS); NONLINEAR CONTROL SYSTEMS; PARAMETER ESTIMATION; ROBUSTNESS (CONTROL SYSTEMS); SYSTEM STABILITY; TWO TERM CONTROL SYSTEMS; UNCERTAIN SYSTEMS; VECTORS;

BOUNDED ERROR ESTIMATION; INTERVAL CONSTRAINT PROPAGATION; INTERVAL METHODS; NONLINEAR IDENTIFICATION; PARAMETER VECTORS;

CONTROL SYSTEM ANALYSIS;

EID: 0036994125     PISSN: 01912216     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (17)

1. J. C. Cleary, "Logical arithmetic", Future Computing Systems, vol. 2(2) (1987), pp. 125-149.
2. E. Davis, "Constraint propagation with interval labels", Artificial Intelligence, vol. 32(3) (1987), pp. 281-331.
3. R. E. Moore, Methods and Applications of Interval Analysis. SIAM, Philadelphia PA, 1979.
4. A. K. Mackworth, "Consistency in networks of relations", Artificial Intel., vol. 8(1) (1977), pp. 99-118.
5. F. Benhamou and L. Granvilliers, "Automatic generation of numerical redundancies for nonlinear constraint solving", Reliable Computing, vol. 3(3) (1997), pp. 335-344.
6. F. Benhamou, F. Goualard, F. Granvilliers, and J. F. Puget, "Revising hull and box consistency", Proceedings of the International Conference on Logic Programming, Las Cruces NM, 1999, pp. 230-244.
7. L. Jaulin, M. Kieffer, O. Didrit, and E. Walter, Applied Interval Analysis, Springer, London, 2001.
8. http://www.istia.univ-angers.fr/~jaulin/propagR1R2,sce
9. http://www-rocq.inria.fr/scilab/scilab.html
10. L. Jaulin, M. Kieffer, I. Braems, and E. Walter, "Guaranteed nonlinear estimation using constraint propagation on sets", International Journal of Control, vol. 74(18) (2001), pp. 1772-1782.
11. R. B. Kearfott, "Interval mathematics techniques for control theory computations", in Progress in Systems and Control Theory, Birkhäuser, Boston MA, vol. 20 (1989), pp. 169-178.
12. L. V. Kolev, V. M. Mladenov, and S. S. Vladov, "Internal mathematics algorithms for tolerance analysis", IEEE Transactions on Circuits and Systems, vol. 35(8) (1988), pp. 967-974.
13. N. A. Khlebalin, "Interval automatic systems - theory, computer-aided design and applications", Interval Computations, vol. 3 (1992), pp. 106-115.
14. L.V. Kolev, "An interval first-order method for robustness analysis", Proceedings of the IEEE International Symposium on Circuits and Systems, Chicago IL, 1993, pp. 2522-2524.
15. L. Jaulin and E. Walter, "Guaranteed tuning, with application to robust control and motion planning", Automatica, vol. 32(8) (1996), pp. 1217-1221.
16. S. A. Malan, M. Milanese, and M. Taragna. "Robust analysis and design of control systems using interval arithmetics", Automatica, vol. 33(7) (1997), pp. 1363-1372.
17. J. Garloff and E. Walter, editors, Special Issue of Reliable Computing devoted to Applications to Control, Signals and Systems, vol. 6(3) (2000), pp. 229-362.