Finite horizon H∞ state-feedback control of continuous-time systems with state delays

IEEE Transactions on Automatic Control

Volumn 45, Issue 12, 2000, Pages 2406-2411

  Fridman, Emilia ^a   Snaked, Uri ^a  

^a TEL AVIV UNIVERSITY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; ASYMPTOTIC STABILITY; CLOSED LOOP CONTROL SYSTEMS; DELAY CONTROL SYSTEMS; FEEDBACK CONTROL; PARTIAL DIFFERENTIAL EQUATIONS; PERTURBATION TECHNIQUES; RICCATI EQUATIONS; STATE FEEDBACK;

TIME INVARIANT LINEAR SYSTEMS;

TIME VARYING CONTROL SYSTEMS;

EID: 0034471275     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/9.895584     Document Type: Article

References (15)

1. A. Bensoussan, G. Da Prato, M. Delfour, and S. Mitter, Representation and Control of Infinite Dimensional Systems. Boston, MA: Birkhauser, 1992, vol. 2.
2. ∞.-Control for Distributed Parameter Systems: A State-Space Approach. Boston, MA: Birkhauser, 1993.
3. ∞ controllers for delayed systems," IEEE Trans. Automat. Contr., vol. 39, pp. 159-162, 1994.
4. ∞ control via output feedback for state delayed systems," Int. J. Contr., vol. 64, pp. 1-7, 1996.
5. ∞-state-feedback control of linear systems with small state-delay," Syst. Contr. Letters, vol. 33, no. 3, pp. 141-150, 1998.
6. ∞ control of uncertain linear state-delayed systems," Automatica, vol. 35, pp. 1313-1321, 1999.
7. P. Ndiaye and M. Sorine, "Delay sensitivity of quadratic controllers - A singular perturbation approach," SIAM J. Contr. Optim.
8. U. Shaked, I. Yaesh, and C. de Souza, "Bounded real criteria for linear time-delay systems," IEEE Trans. Automat. Contr., vol. 43, pp. 1016-1022, July 1998.
9. ∞-norm and invariant manifolds of systems with state delays," Syst. Contr. Letters, vol. 36, no. 2, pp. 157-165, 1999.
10. A. Vasilieva, "Asymptotic solutions of differential-difference equations in the case of a small deviation in the argument," Comput. Meth. Math. Phys., vol. 2, no. 5, pp. 869-893, 1962.
11. R. O'Malley, Introduction to Singular Perturbations. New York: Academic, 1974.
12. P. Sannuti and P. Reddy, "Asymptotic series solution to optimal systems with small time delay," IEEE Trans. Automat. Contr., vol. 18, pp. 250-259, 1973.
13. ∞-optimal control for singularly perturbed systems. Part I: Perfect state measurements," Automatica, vol. 2, pp. 401-424, 1993.
14. M. Delfour, "The linear quadratic optimal control problem with delays in state and control variables," SIAM J. Contr. Optim., vol. 24, pp. 835-883, 1986.
15. J. Hale, Functional Differential Equations. New York: Springer-Verlag, 1977.