Robust stabilization for uncertain time-delay systems containing saturating actuators

IEEE Transactions on Automatic Control

Volumn 41, Issue 5, 1996, Pages 742-747

  Niculescu, Silviu Iulian ^a,b   Dion, Jean Michel ^a   Dugard, Luc ^a  

^a GIPSA LAB   (France)

^b UNIVERSITY POLITEHNICA OF BUCHAREST   (Romania)

Author keywords

[No Author keywords available]

Indexed keywords

ACTUATORS; CONSTRAINT THEORY; DIFFERENTIAL EQUATIONS; FEEDBACK CONTROL; MATRIX ALGEBRA; ROBUSTNESS (CONTROL SYSTEMS); SYSTEM STABILITY;

MEMORYLESS STATE FEEDBACK CONTROL; PARAMETER UNCERTAINTY; SATURATING ACTUATORS; TIME DELAY SYSTEMS;

CONTROL SYSTEM SYNTHESIS;

EID: 0030150467     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/9.489216     Document Type: Article

References (20)

1. B.-S. Chen and S.-S. Wang, "The stability of feedback control with nonlinear saturating actuator: Time domain approach," IEEE Trans. Automat. Contr., vol. 33, pp. 483-487, 1988.
2. B.-S. Chen, S.-S. Wang, and H.-C. Lu, "Stabilization of time-delay systems containing saturating actuators," Int. J. Contr., vol. 47, pp. 867-881, 1988.
3. J.-H. Chou, I.-R. Horng, and B.-S. Chen, "Dynamical feedback compensator for uncertain time-delay systems containing saturating actuator," Int. J. Contr., vol. 49, pp. 961-968, 1988.
4. A. H. Glattfelder and W. Schaufelberger, "Stability analysis of single loop control systems with saturation and antireset-windup circuits," IEEE Trans. Automat. Contr., vol. AC-28, pp. 1074-1080, 1983.
5. J. Hale, Theory of Functional Differential Equations. New York: Springer-Verlag, 1977.
6. J. Kato, "On Liapunov-Razumikhin type theorems for functional differential equations," Funkcialaj Ekvacioj, vol. 16, pp. 225-239, 1973.
7. ∞ control theory," IEEE Trans. Automat. Contr., vol. 35, pp. 356-361, 1990.
8. M. Klai, S. Tarbouriech, and C. Burgat, "Some independent time-delay stabilization of linear systems with saturating controls," in Proc. IEE Contr. '94, Coventry, U.K., pp. 1358-1363.
9. V. B. Kolmanovskii and V. R. Nosov, Stability of Functional Differential Equations. New York: Academic, 1986.
10. R. L. Kosut, "Design of linear systems with saturating linear control and bounded state," IEEE Trans. Automat. Contr., vol. AC-28, pp. 121-124, 1983.
11. N. N. Krasovskii, Stability of Motion. Stanford Univ. Press, 1963.
12. N. J. Krikelis, "State feedback integral control with intelligent integrator," Int. J. Contr., vol. 32, pp. 465-473, 1980.
13. V. Lakshmikhantam and S. Leela, Differential and Integral Inequalities. New York: Academic, 1969.
14. S. I. Niculescu, C. E. de Souza, J.-M. Dion, and L. Dugard, "Robust stability and stabilization for uncertain linear systems with state delay: Single delay case (I)," in Proc. IFAC Wkshp. Robust Contr. Design, Rio de Janeiro, Brazil, 1994, pp. 469-474.
15. _, "Robust stability and stabilization for uncertain linear systems with state delay: Multiple delays case (II)," in Proc. IFAC Wkshp. Robust Contr. Design, Rio de Janeiro, Brazil, 1994, pp. 475-480.
16. S. I. Niculescu, J.-M. Dion, and L. Dugard, "Delay-dependent stability criteria for uncertain systems with delayed state: A Razumikhin based approach," in Proc. IEEE VSLT'94, Benevento, Italy, pp. 34-41.
17. _, "Robust stabilization for uncertain time-delay systems containing saturating actuators," in Proc. 33rd Conf. Decision Contr., Lake Buena Vista, FL, 1994, pp. 431-432 (short version of the paper).
18. E. Tissir and A. Hmamed, "Further results on the stabilization of time delay systems containing saturating actuators," Int. J. Syst. Sci., vol. 23, pp. 615-622, 1992.
19. J.-C. Shen and F.-C. Kung, "Stabilization of input-delay systems with saturating actuator," Int. J. Contr., vol. 50, pp. 1667-1680, 1989.
20. T. J. Su, P.-L. Liu, and J.-T. Tsay, "Stabilization of delay-dependence for saturating actuator systems," in Proc. 30th Conf. Decision Contr., Brighton, U.K., 1991, pp. 2891-2892.