Optimal guaranteed cost control of discrete-time uncertain systems with both state and input delays

Journal of the Franklin Institute

Volumn 338, Issue 1, 2001, Pages 101-110

  Yu, Li ^a   Gao, Furong ^b  

^a ZHEJIANG UNIVERSITY OF TECHNOLOGY   (China)

^b HONG KONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

CLOSED LOOP CONTROL SYSTEMS; CONTROL SYSTEM ANALYSIS; CONTROL SYSTEM SYNTHESIS; DELAY CONTROL SYSTEMS; FEEDBACK CONTROL; OPTIMAL CONTROL SYSTEMS; TIME VARYING CONTROL SYSTEMS; UNCERTAIN SYSTEMS;

CLOSED-LOOP COST FUNCTIONS; GUARANTEED COST CONTROL; LINEAR MATRIX INEQUALITY (LMI) METHOD;

DISCRETE TIME CONTROL SYSTEMS;

EID: 0035121043     PISSN: 00160032     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0016-0032(00)00073-9     Document Type: Article

References (21)

1. Barmish B.R. Necessary and sufficient conditions for quadratic stabilizability of an uncertain system. J. Optim. Theory Appl. 46(4):1985;399-408.
2. Leitmann G. On one approach to the control of uncertain systems. ASME J. Dynamic Systems, Measurement, Control. 115(4):1993;373-380.
3. Chang S.S.L., Peng T.K.C. Adaptive guaranteed cost control of systems with uncertain parameters. IEEE Trans. Automat. Control. 17(4):1972;474-483.
4. Petersen I.R., McFarlane D.C. Optimal guaranteed cost control and filtering for uncertain linear systems. IEEE Trans. Automat. Control. 39(9):1994;1971-1977.
5. Petersen I.R. Guaranteed cost LQG control of uncertain linear systems. IEE Proc. Control Theory Appl. 142(2):1995;95-102.
6. L. Xie, Y.C. Soh, Guaranteed cost control of uncertain discrete-time systems, Proceedings of the 32nd IEEE Conference on Decision & Control, San Antonio, Texas, 1993, pp. 56-61.
7. L. Yu, J.C. Wang, J. Chu, Guaranteed cost control of uncertain linear discrete-time systems, Proceedings of the American Control Conference, Albuquerque, New Mexico, 1997, pp. 3181-3184.
8. Petersen I.R., McFarlane D.C., Rotea M.A. Optimal guaranteed cost control of discrete-time uncertain linear systems. Int. J. Robust Nonlinear Control. 8:1998;649-657.
9. Yu L. Design of stabilizing controllers for uncertain linear time-delay systems. Control Theory Appl. 8(1):1991;68-73.
10. Choi H.H., Chung M.J. Memoryless stabilization of uncertain dynamic systems with time-varying delayed states and controls. Automatica. 31:1995;1349-1351.
11. ∞ controller design for linear time-delay systems with norm-bounded time-varying uncertainty. Automatica. 32(12):1996;1759-1762.
12. L. Yu, X. Huang, J. Chu, Guaranteed cost control of linear uncertain time-delay systems, Proceedings of the Second Asian Control Conference, Seoul, South Korea, 1997, pp. 705-708.
13. Moheimani S.O.R., Petersen I.R. Optimal quadratic guaranteed cost control of a class uncertain time-delay systems. IEE Proc. Control Theory Appl. 144(2):1997;183-188.
14. Yu L., Chu J. A LMI approach to guaranteed cost control of linear uncertain time-delay systems. Automatica. 35(6):1999;1155-1159.
15. Esfahani S.H., Moheimani S.O.R., Petersen I.R. LMI approach to suboptimal guaranteed cost control for uncertain time-delay systems. IEE Proc. Control Theory Appl. 145(6):1998;491-498.
16. Guan X., Lin Z., Duan G. Robust guaranteed cost control for discrete-time uncertain systems with delay. IEE Proc. Control Theory Appl. 146(6):1999;598-602.
17. L. Yu, F. Gao, A. Xue, Guaranteed cost control of discrete linear time-delay systems, Proceedings of the American Control Conference, Chicago, Illinois, June 2000, pp. 2481-2485.
18. Mahmoud M.S., Xie L. Guaranteed cost control of uncertain discrete systems with delays. Int. J. Control. 73(2):2000;105-114.
19. ∞ control of systems with parameter uncertainty. Int. J. Control. 63(4):1996;741-750.
20. P. Gahinet, A. Nemirovski, A.J. Laub, M. Chilali, LMI Control Toolbox - for use with Matlab, The MATH Works Inc., 1995.
21. S. Boyd, L.E. Ghaoui, E. Feron, V. Balakrishnan, Linear Matrix Inequalities in Systems and Control Theory, Studies in Applied Mathematics, Vol. 15, SIAM, Philadelphia, PA, 1994.