Delay-dependent stabilisation and disturbance tolerance for time-delay systems subject to actuator saturation

IEE Proceedings: Control Theory and Applications

Volumn 149, Issue 5, 2002, Pages 387-393

  Tarbouriech, S ^a   Peres, P L D ^a   Garcia, G ^a   Queinnec, I ^a  

^a LAAS CNRS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ACTUATORS; CLOSED LOOP CONTROL SYSTEMS; CONVERGENCE OF NUMERICAL METHODS; DELAY CONTROL SYSTEMS; EIGENVALUES AND EIGENFUNCTIONS; LINEAR CONTROL SYSTEMS; MATRIX ALGEBRA;

ACTUATOR SATURATION; DELAY-DEPENDENT STABILIZATION; LINEAR CONTINUOUS-TIME SYSTEM; TIME-DELAY SYSTEM;

SYSTEM STABILITY;

EID: 0036759552     PISSN: 13502379     EISSN: None     Source Type: Journal    
DOI: 10.1049/ip-cta:20020608     Document Type: Article

References (27)

1. DUGARD, L., and VERRIEST, E.I. (Eds.) 'Stability and control of time-delay systems' (Springer-Verlag, Berlin, Germany, 1997)
2. HALE, J.K., and VERDUYN LUNEL, S.M. 'Introduction to functional Differential equations' (Springer-Verlag, New York, 1991)
3. MALEK-ZAVAREI, M., and JAMSHIDI, M.: 'Time-delay systems: analysis, optimization and applications' (North-Holland, Amsterdam, The Netherlands, 1987)
4. ∞ controller design for linear time-delay systems', Automatica, 1997, 33, (4), pp. 737-739
5. LEHMAN, B., and SHUJAEE, K.: 'Delay independent stability conditions and decay-estimates for time-varying functional-differential equations', IEEE Trans. Autom. Control, 1994, 39, (8), pp 1673-1676
6. SHAKED, U., YAESH, I., and DE SOUZA, C.E.: 'Bounded real criteria for linear time-delay systems', IEEE Trans. Autom. Control, 1998, 43, (7), pp. 1016-1022
7. CAO, Y.Y., SUN, Y.X., and CHENG, C.: 'Delay-dependent robust stabilization of uncertain systems with multiple state delays', IEEE Trans. Autom. Control, 1998, 43, (11), pp. 1608-1612
8. ∞ control of uncertain linear state-delayed systems', Automatica, 1999, 35, (7), pp. 1313-1321
9. BERNSTEIN, D.S. MICHEL, A.N. 'Special issue: saturating actuators', Int. J. Robust Nonlinear Control, 1995, 5, pp. 375-540
10. STOORVOGEL, A.A. SABERI, A. Special issue: control problems with constraints', Int. J. Robust Nonlinear Control, 1999, 9, (10), pp. 583-734
11. OUCHERIAH, S.: 'Global stabilization of a class of linear continuous time delay systems with saturating controls', IEEE Trans. Circuits Syst. I: Fundam. Theory Appl., 1996, 43, (12), pp. 1012-1015
12. CHEN, B.S., WANG, S.S., and LU, H.C.: 'Stabilization of time-delay systems containing saturating actuators', Int. J. Control, 1988, 47, pp. 867-881
13. NICULESCU, S.I., DION, J.M., and DUGARD, L.: 'Robust stabilization for uncertain time-delay systems containing saturating actuators', IEEE Trans. Autom. Control, 1996, 41, (5), pp. 742-747
14. SU, T.J., LIU, P.L., and TSAY, J.T.: 'Stabilization of delay-dependence for saturating actuator systems'. Proceedings of the 30th IEEE Conference on Decision and control, Brighton, UK, December 1991, pp. 2891-2892
15. TARBOURIECH, S., and GOMES DA SILVA, J.M. Jr: 'Synthesis of controllers for continuous-time delay systems with saturating controls via LMIs', IEEE Trans. Autom. Control, 2000, 45, (1), pp. 105-111
16. KRASOVSKII, N.N.: 'Stability of motion' (Stanford University Press, Stanford, CA, 1963)
17. BOYD, S., EL GHAOUI, L, FERON, E., and BALAKRISHNAN, V.: 'Linear matrix inequalities in system and control theory' (SIAM Studies in Applied Mathematics, Philadelphia, USA, 1994)
18. TARBOURIECH, S., PERES, P.L.D., GARCIA, G., and QUEINNEC, I.: 'Delay-dependent stabilization of time-delay systems with saturating actuators'. Proceedings of the 39th IEEE Conference on Decision and control, Sydney, Australia, December 2000, pp. 3248-3253
19. KLAÏ, M., TARBOURIECH, S., and BURGAT, C.: 'Some independent time delay stabilization of linear systems with saturating controls'. Proceedings of the IEE International Conference on control, Coventry, UK, 1994, pp. 1358-1363
20. LIN, Z., and SABERI, A.: 'Semi-global exponential stabilization of linear systems subject to input saturation via linear feedback', Syst. Control Lett., 1993, 21, pp. 225-239
21. SABERI, A., LIN, Z., and TEEL, A.R.: 'Control of linear systems with saturating actuators', IEEE Trans. Autom. Control, 1996, 41, (3), pp. 368-378
22. TARBOURIECH, S. and GARCIA, G. (Eds.) 'Control of uncertain systems with bounded inputs' (Springer-Verlag, Berlin, 1997, 227, Lecture Notes in Control and Information Sciences)
23. SUAREZ, R., ALVAREZ-RAMIREZ, J., and ALVAREZ, J.: 'Linear systems with single saturated input: stability analysis'. Proceedings of the 30th IEEE Conference on Decision and control, Brighton, UK, December 1991, pp. 223-228
24. KHALIL, H.J.: 'Nonlinear systems' (Macmillan Publishing Company, Singapore, 1992)
25. NICULESCU, S.-I.: 'Delay Effects on stability. A robust control approach' (Springer-Verlag, Berlin, Germany, 2001)
26. MOLCHANOV, A.P., and PYATNITSKII, E.S.: 'Criteria of asymptotic stability of differential and difference inclusions encountered in control theory', Syst. Control Lett., 1989, 13, pp. 59-64
27. HALE, J.K.: 'Theory of functional differential equations' (Springer-Verlag, New York, 1977)