An LMI-based approach for robust stabilization of time delay systems containing saturating actuators

IMA Journal of Mathematical Control and Information

Volumn 24, Issue 3, 2007, Pages 347-356

  El haoussi, Fatima ^a   Tissir, El Houssaine ^a  

^a SIDI MOHAMED BEN ABDELLAH UNIVERSITY   (Morocco)

Author keywords

Actuator saturation; Linear matrix inequality (LMI); Robust stabilization; Time delay systems

Indexed keywords

ACTUATORS; CLOSED LOOP SYSTEMS; CONTROL SYSTEM SYNTHESIS; FEEDBACK CONTROL; LINEAR MATRIX INEQUALITIES; ROBUSTNESS (CONTROL SYSTEMS); SYSTEM STABILITY; TIME DELAY; TIME VARYING SYSTEMS;

ACTUATOR SATURATION; INPUT SATURATION; ROBUST STABILIZATION;

UNCERTAIN SYSTEMS;

EID: 34948888337     PISSN: 02650754     EISSN: 14716887     Source Type: Journal    
DOI: 10.1093/imamci/dnl030     Document Type: Article

References (17)

1. BERNSTEIN, D. S. & MICHEL, A. N. (1995) A chronological bibliography on saturating actuators. Int. J. Robust Nonlinear Control, 5, 375-380.
2. BOYD, S., EL GHAOUI, L., FERON, E. & BALAKRISHNAN, V. (1994) Linear Matrix Inequalities in Systems and Control Theory. Studies in Applied Mathematics, vol. 15. Philadelphia: SIAM.
3. CHEN, B.-S., WANG, S.-S. & LU, H.-C. (1988) Stabilisation of time-delay systems containing saturating actuators. Int. J. Control 47, 867-881.
4. DUGARD, L. & VERRIEST, E. I. (eds) (1998) Stability and Control of Time Delay Systems. Lecture Notes in Control and Information Sciences, vol. 228. Springer.
5. GOUBET-BARTHOLOMÉÜS, A., DAMBRINE, M. & RICHARD, J. P. (1997) Stability of perturbed systems with time-varying delays. Syst. Control Lett., 31, 155-163.
6. HALE, J. K. (1977) Theory of Functional Differential Equations New York: Springer.
7. KOLMANOVSKII, V. B. & NOSOV, V. R. (1977) Stability of Functional Differential Equations. New York: Academic Press.
8. KRASOVSKII, N. N. (1963) Stability of Motion. Stanford, CA: Stanford university Press.
9. LUO, J. S., JOHNSON, A. & VAN DEN BOSH, P. P. J. (1995) Delay-independent robust stability of uncertain linear systems. Syst. Control Lett., 24, 33-39.
10. MAHMOUND, M. S. & AL-MUTHAIRI, N. F. (1994) Quadratic stabilization of continuous-time systems with state-delay and norm-bounded time-varying uncertainties. IEEE Trans. Autom. Control 39, 2135-2139.
11. MORI, T., FUKUMA, N. & KUWAHARA, M. (1982) On an estimate of the decay rate for stable linear delay systems. Int. J. Control, 36 95-97.
12. NESTEROV, YU. & NEMIROVSKY, A. (1994) Interior point polynomial methods convex programing. Stud. Appl. Math., 13.
13. NICULESCU, S.-I., DION, -M. & DUGARD, L. (1996) Robust stabilization for uncertain time delay systems containing saturating actuators. IEEE Trans. Autom. Control, 41, 742-747.
14. TARBOURIECH ET, S. & GOMES DA SILVIA JR., J. M. (2000) Synthesis of controllers for continuous-time delay systems with saturating controls via LMIs. IEEE Trans. Autom. Control, 45, 105-111.
15. TISSIR, E. & HMAMED, A. (1992) Further results on the stabilisation of the time delay systems containing saturation actuators. Int. J. Syst. Sci., 23, 615-622.
16. TSENG, C.-L., FONG, I.-K. & J.-H. (1994) Robust stability of uncertain delay systems with output feedback. Syst. Control Lett., 23, 271-278.
17. CAO, Y.-Y., LIN, Z. & HU, T. (2002) Stability analysis of linear time-delay systems subject to input saturation. IEEE Trans. Circuits Syst., 49, 233-240.