Robust analysis and synthesis of linear time-delay systems with norm-bounded time-varying uncertainty

Systems and Control Letters

Volumn 28, Issue 5, 1996, Pages 281-289

  Yuan, Lisong ^a,b  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

^b UNIVERSITY OF CONNECTICUT   (United States)

Author keywords

Robust control; Time delay system; Uncertain system; Uncertainty

Indexed keywords

EID: 0012360534     PISSN: 01676911     EISSN: None     Source Type: Journal    
DOI: 10.1016/0167-6911(96)00039-4     Document Type: Article

References (23)

1. B.R. Barmish, Necessary and sufficient conditions for quadratic stabilizability of an uncertain system, J. Optim. Theory Appl. 46 (1985) 399-408.
2. S. Boyd, L. EI Ghaoui, E. Feron and V. Balakrishnam, Linear Matrix Inequalities in Systems and Control Theory (SIAM, Philadelphia, 1994).
3. ∞ problems, IEEE Trans. Automat. Control AC-34 (1989) 831-847.
4. ∞ Control Theory (Springer, New York, 1987).
5. ∞ control, Int. J. Robust Nonlinear Control 4 (1994) 421-448.
6. P. Gahinet, A. Nemirovski, A. Laub and M. Chilali, The LMI control toolbox, The MathWorks, Inc., 1995.
7. G. Garcia, J. Bernussou and D. Arzelier, Robust stabilization of discrete time linear systems with norm-bounded time-varying uncertainty, Systems Control Lett. 22 (1994) 327-339.
8. ∞ control of systems under bounded uncertainties in all system matrices, IEEE Trans. Automat. Control AC-39 (1994) 1320-1322.
9. ∞ optimal control with state feed back, IEEE Trans. Automat. Control AC-33 (1988) 786-788.
10. ∞ control theory, IEEE Trans. Automat. Control AC-35 (1990) 356-361.
11. ∞ controllers for stable delay systems, IEEE Trans. Automat. Control AC-39 (1994) 156-162.
12. J.S. Lou, A. Johnson and P.P.J. Van Den Bosch, Delay-independent robust stability of uncertain linear system, Systems Control Lett. 24 (1995) 33-39.
13. M.S. Mahmoold and N.F. Al-Muthairi, Design of a robust controller for time-delay systems, IEEE Trans. Automat. Control AC-39 (1994) 995-999.
14. M.S. Mahmoold and N.F. Al-Muthairi, Quadratic stabilization of continuous time systems with state delay and norm bounded time varying uncertainties, IEEE Trans. Automat. Control AC-39 (1994) 2135-2139.
15. I.R. Petersen and C.V. Hollot, A Riccati equation approach to the stabilization of uncertain linear system, Automatica 22 (1986) 397-411.
16. ∞ output feedback control problem, Systems Control Lett. 14 (1990) 13-24.
17. ∞ controllers for stable delay systems, IEEE Trans. Automat. Control AC-38 (1993) 638-640.
18. T.J. Su and P.L. Lie, Robust stability for linear uncertain time-delay system with delay dependence, Int. J. System Sci. 24 (1993) 1067-1080.
19. T. Thhowsen, Uniform ultimate boundedness of the solutions of uncertain dynamic delay systems with state dependent and memoryless feedback control, Int. J. Control 45 (1983) 1135-1143.
20. H. Trinh and M. Aldeen, Stabilization of uncertain dynamic delay systems by memoryless feedback controllers, Int. J. Control 59 (1994) 1525-1542.
21. C.L. Tseng, I.K. Fong and J.H. Su, Robust stability analysis for uncertain delay system with output feedback controller, Systems Control Lett. 14 (1990) 13-24.
22. ∞ control and quadrative stabilization of system with parameter uncertain via output feedback, IEEE Trans. Automat. Control AC-37 (1992) 1253-1256.
23. ∞ control for linear systems with norm-bounded time-varying uncertainty, IEEE Trans. Automat. Control AC-37 (1992) 1188-1191.