Delay-dependent robust stabilization of uncertain state-delayed systems

International Journal of Control

Volumn 74, Issue 14, 2001, Pages 1447-1455

  Moon, Young Soo ^a   Park, Poogyeon ^a   Kwon, Wook Hyun ^a   Lee, Young Sam ^a  

^a Seoul National University   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CONTROL EQUIPMENT; DELAY CONTROL SYSTEMS; MATRIX ALGEBRA; OPTIMIZATION; PROBLEM SOLVING; STABILIZATION; UNCERTAIN SYSTEMS;

STATE-DELAYED SYSTEMS;

ROBUSTNESS (CONTROL SYSTEMS);

EID: 0035922479     PISSN: 00207179     EISSN: None     Source Type: Journal    
DOI: 10.1080/00207170110067116     Document Type: Article

References (18)

1. Boyd, S., Ghaoui, L.E., Feron, E., and Balakrishnan, V., 1994, Linear Matrix Inequalities in System and Control Theory, Voil. 15 (Philadelphia, PA: SIAM).
2. Ghaoui, El, L., Oustry, F., and Ait Rami, M., 1997, A cone complementarity linearization algorithms for static output-feedback and related problems. IEEE Transactions on Automatic Control, 42, 1171-1176.
3. Fiagbedzi, Y.A., and Pearson, A.E., 1986, Feedback stabilization of linear autonomous time lag systems. IEEE Transactions on Automatic Control, AC-31, 857-855.
4. Fu, M., Li, H., and Niculescu, S.I., 1998, Robust stability and stabilization of time-delay systems via integral quadratic constraint approach. In L. Dugard and E. Verriest (Eds) Stability and Control of Time-delay Systems (London: Springer-Verlag), pp. 101-116.
5. Hale, J.K., and Lunel, S.M.V., 1993, Introduction to Functional Differential Equations (New York: Springer-Verlag).
6. Kim, J.H., Jeung, E.T., and Park, H.B., 1996, Robust control for parameter uncertain delay systems in state and control input. Automatica, 32, 1337-1339.
7. ∞ controllers for state delayed systems. IEEE Transactions on Automatic Control, 39, 158-162.
8. Li, X., and De Souza, C.E., 1997 a, Criteria for robust stability and stabilization of uncertain linear systems with state delays. Automatica, 33, 1657-1662.
9. Li, X., and De Souza, C.E., 1997 b, Delay-dependent robust stability and stabilization of uncertain linear delay systems: a linear matrix inequality approach. IEEE Transactions on Automatic Control, 42, 1144-1148.
10. Li, X., De Souza, C.E., and Trofino, A., 1998, Delay-dependent robust stabilization of uncertain linear state-delayed systems via static output feedback. In IFAC International Workshop on Linear Time Delay Systems, Grenoble, France, pp. 1-6.
11. Mahmoud, M.S., and Al-Muthairi, N.F., 1994, Quadratic stabilization of continuous time systems with state-delay and norm-bounded time-varying uncertainties. IEEE Transactions on Automatic Control, 39, 2135-2139.
12. Niculescu, S., de Souza, C.E., Dion, J., and Dugard, L., 1994, Robust stability and stabilization of uncertain linear systems with state delay: Single delay case. In IFAC Symposium on Robust Control Design, Rio de Janeiro, Brazil.
13. Niculescu, S., Verriest, E., Dion, J., and Dugard, L., 1998, Stability and robust stability of time-delay systems: A guided tour. In L. Dugard and E. Verriest (Eds) Stability and Control of Time-delay Systems (London: Springer-Verlag), pp. 1-71.
14. Park, P., 1999, A delay-dependent stability criterion for systems with uncertain time-invariant delays. IEEE Transactions on Automatic Control.
15. Park, P., Moon, Y.S., and Kwon, W.H., 1998, A delay-dependent robust stability criterion for uncertain time-delay systems. In Proceedings of the American Control Conference, Philadelphia, USA.
16. Phoojaruenchanachai, S., and Furuta, K., 1992, Memoryless stabilization of uncertain time-varying state delays. IEEE Transactions on Automatic Control, 37, 1022-1026.
17. Ross, D.W., 1971, Controller design for time lag systems via a quadratic criterion. IEEE Transactions on Automatic Control, AC-16, 664-672.
18. Xie, L., and De Souza, C.E., 1993, Robust stabilization and disturbance attenuation for uncertain delay systems. In Proceedings of the European Control Conference, Gröningen, The Netherlands.