Design of adaptive variable structure controllers for perturbed time-varying state delay systems

Journal of the Franklin Institute

Volumn 338, Issue 1, 2001, Pages 35-46

  Chou, Chien Hsin ^a   Cheng, Chih Chiang ^a  

^a NATIONAL SUN YAT SEN UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; CONTROL SYSTEM ANALYSIS; CONTROL SYSTEM SYNTHESIS; DELAY CONTROL SYSTEMS; LYAPUNOV METHODS; PERTURBATION TECHNIQUES; SYSTEM STABILITY; THEOREM PROVING; TIME VARYING CONTROL SYSTEMS;

TIME-VARYING STATE DELAY SYSTEMS; VARIABLE STRUCTURE CONTROL (VSC) METHOD;

ADAPTIVE CONTROL SYSTEMS;

EID: 0035121390     PISSN: 00160032     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0016-0032(00)00070-3     Document Type: Article

References (26)

1. Liu P.L., Su T.J. Robust stability of interval time-delay systems with delay-dependence. Systems Control Lett. 33:1998;231-239.
2. Petersen I.R., Hollot C.V. A Riccati equation approach to the stabilization of uncertain linear systems. Automatica. 22(4):1986;397-411.
3. Cheres E., Gutman S., Palmor Z.J. Stabilization of uncertain dynamic systems including state delay. IEEE Trans. Automat. Control. AC-34(11):1989;1199-1203.
4. Shen J.C., Chen B.S., Kung F.C. Memoryless stabilization of uncertain dynamic delay systems. Riccati equation approach IEEE Trans. Automat. Control. AC-36(5):1991;638-640.
5. Phoojaruenchanachai S., Furuta K. Memoryless stabilization of uncertain linear systems including time-varying state delays. IEEE Trans. Automat. Control. AC-37(7):1992;1022-1026.
6. Choi H.H., Chung M.J. Memoryless stabilization of uncertain dynamic systems with time-varying delayed states and controls. Automatica. 31(9):1995;1349-1351.
7. Shyu K.K., Yan J.J. Robust stability of uncertain time-delay systems and its stabilization by variable structure control. Int. J. Control. 57(1):1993;237-246.
8. Luo N., de la Sen M. State feedback sliding mode control of a class of uncertain time delay systems. IEE Proc. -D. 140(4):1993;261-274.
9. Mahmoud M.S., Al-Muthairi N.F. Quadratic stabilization of continuous time systems with state-delay and norm-bounded time-varying uncertainties. IEEE Trans. Automat. Control. AC-39(10):1994;2135-2139.
10. Sun Y.J., Hsieh J.G. A note on the stability of uncertain time-lag systems. J. Franklin Inst. 332B(5):1995;619-631.
11. Shen J.C. Designing stabilising controllers and observers for uncertain linear systems with time-varying delay. IEE Proc. Control Theory Appl. 144(4):1997;331-333.
12. DeCarlo R.A., Zak S.H., Mattews G.P. Variable structure control of nonlinear multivariable systems. a tutorial Proc. IEEE. 76(3):1998;212-232.
13. V.I. Utkin, Sliding Modes and their Application in Variable Structure Systems, MIR, Moscow, 1978.
14. Cheng C.C., Liu I.M. Design of MIMO integral variable structure controls. J. Franklin Inst. 336(7):1999;1119-1134.
15. Shyu K.K., Yan J.J. Variable-structure model following adaptive control for systems with time-varying delay. Control Theory Adv. Technol. 10(3):1994;513-521.
16. Drazenovic B. The invariance conditions in variable structure system. Automatica. 5:1969;287-295.
17. Zak S.H., Hui S. On variable structure output feedback controller for uncertain dynamic systems. IEEE Trans. Automat. Control. AC-38(10):1993;1509-1512.
18. Mahmoud M.S. Dynamic control of systems with variable state-delay. Int. J. Robust and Nonlinear Control. 6:1996;123-146.
19. Khalil H.K. Nonlinear Systems. 1992;Macmillan, New York.
20. Feng G., Jiang Y.A. Variable structure based decentralized adaptive control. IEE Proc. Control Theory Appl. 142(5):1995;439-443.
21. Yoo D.S., Chung M.J. Avariable structure control with simple adaptation laws for upper bounds on the norm of the uncertainties. IEEE Trans. Automat. Control. AC-37(6):1992;860-864.
22. E. M. Jafarov, and R. Tasaltim, Design of longitudinal variable structure flight control system for the F-18 aircraft model with parameter perturbations, Proceedings of IEEE International Symposium on Computer Aided Control System Design, Hawaii, August 1999, pp. 607-612.
23. Kreindler E., Jameson A. Conditions for nonnegativeness of partitioned matrices. IEEE Trans. Automat. Control. AC-17(2):1972;147-148.
24. P. Gahinet, A, Nemirovski, A. J. Laub, and M. Chilali, The LMI Control Toolbox, The Math Works Inc., 1995.
25. Slotine J.-J.E., Sastry S.S. Tracking control of nonlinear system using sliding surface with application to robot manipulators Int. J. Control. 38:1983;465-492.
26. Ioannou P.A., Kokotovic P.V. Adaptive Systems with Reduced Models. 1983;Springer, New York.