Robust non-fragile guaranteed cost control of uncertain large-scale systems with time-delays in subsystem interconnections

International Journal of Systems Science

Volumn 35, Issue 4, 2004, Pages 233-241

  Park, Ju H ^a  

^a Yeungnam University   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; CLOSED LOOP CONTROL SYSTEMS; CONTROL EQUIPMENT; COSTS; MATRIX ALGEBRA; PARAMETER ESTIMATION; PROBLEM SOLVING; ROBUSTNESS (CONTROL SYSTEMS);

COST FUNCTIONS; LINEAR MATRIX INEQUALITIES (LMI); SUBSYSTEM INTERCONNECTIONS; TIME DELAYS;

LARGE SCALE SYSTEMS;

EID: 3142589039     PISSN: 00207721     EISSN: None     Source Type: Journal    
DOI: 10.1080/00207720410001714121     Document Type: Article

References (28)

1. ALIYU, M. D. S., 2000, Minimax guaranteed cost control of uncertain nonlinear systems. International Journal of Control, 73, 1491-1499.
2. ARZELIER, D., and PEAUCELLE, D., 2000. Quadratic guaranteed cost control for uncertain dissipative models: a Riccati equation approach. International Journal of Control, 73, 762-775.
3. BOYD, S., GHAOUI, L. E., FERON, E., and BALAKRISHANAN, V., 1994, Linear Matrix Inequalities in Systems and Control Theory (Philadelphia. PA: SIAM Studies in Applied Mathematics).
4. CHANG, S. S. L., and PENG, T. K. C., 1972, Adaptive guaranteed cost control of systems with uncertain parameters. IEEE Transactions on Automatic Control, 17, 474-483.
5. CHEN, Y., LEITMANN, G., and KAI, X., 1991, Robust control design for interconnected systems with time-varying uncertainties. International Journal of Control, 54, 1119-1142.
6. CHEN, Y. H., 1992, Decentralized robust control for large-scale uncertain systems: A design based on the bound uncertainty. Journal of Dynamic Systems. Measurement, and Control, 114, 1-9.
7. CHENG, C., WU, Q., and THORNTON-TRUMP, A., 2001, Decentralized robust controller design for uncertain large-scale systems with control delays. International Journal of Systems Science. 32, 33-41.
8. CORRADO, J. R., and HADDAD, W. M., 1999, Static output controllers for systems with parametric uncertainty and control gain variation. Proceedings of American Control Conference, San Diego, CA, pp. 915-919.
9. DORATO, P., 1998, Non-fragile controller design: An overview. American Control Conference, Philadelphia, PA, pp. 2829-2831.
10. DORATO, P., ABDALLAH, C., and FAMULARO, D., 1998, On the design of non-fragile compensators via symbolic quantifier elimination. World Automation Congress. Anchorage, AL, pp. 9-14.
11. FAMULARO, D., ABDALAH. C., JADBABAIE, A., DORATO, P., and HADDAD, W., 1998, Robust non-fragile LQ controllers: The static state feedback case. American Control Conference. Philadelphia, PA, pp. 1109-1113.
12. GAHINET, P., NEMIROVSKII, A., LAUB, A., and CHILALI, M., 1995, LMI Control Toolbox (Natick. MA: MathWorks).
13. GEROMEL, J. C., and YAMAKAMI, A., 1982, Stabilization of continuous and discrete linear systems subjected to control structure constraint. International Journal of Control, 3, 429-444.
14. GUAN. X., LIN, Z., and DUAN, G., 1999, Robust guaranteed cost control for discrete-time uncertain systems with delays. IEE Proceedmgs-D, 146, 598-602.
15. HADDAD, W. M., and CORRADO, J. R., 1998, Robust resilient dynamic controllers for systems with parametric uncertainty and controller gain variations. American Control Conference, Philadelphia, PA, pp. 2837-2841.
16. Ho, S. J., HORNG, I. R., and CHOU, J. H., 1992, Decentralized stabilization of large-scale systems with structured uncertainties. International Journal of Systems Science, 23, 425-434.
17. HU, Z., 1994, Decentralized stabilization of large scale interconnected systems with delays. IEEE Transactions on Automatic Control, 39, 180-182.
18. ∞ output feedback stabilization for large-scale systems with multiple time-varying delays. Proceedings of American Control Conference, Chicago, pp. 971-975.
19. KEEL, L., and BHATTACHARYYA, S., 1997, Robust, fragile, or optimal. IEEE Transactions on Automatic Control, 42, 1098-1105.
20. LEE, T., and RADOVIC, U., 1988, Decentralized stabilization of linear continuous and discrete-time systems with delays in interconnections. IEEE Transactions on Automatic Control, 33, 757-761.
21. MAHMOUD, M., HASSEN, M., and DARWISH, M., 1985, Large-scale control systems: theorys and techniques (New York: Marcel-Dekker).
22. OUCHERIAH, S., 2000, Decentralized stabilization of large scale systems with multiple delays in the interconnections. International Journal of Control, 73, 1213-1223.
23. PETERSEN, I. R., 1995, Guaranteed cost LQG control of uncertain linear systems. IEE Proceeding-D, 142, 95-102.
24. PETERSEN, I. R., MCFARLANE, D. C., and ROTEA, M. A., 1998, Optimal guaranteed cost control of discrete-time uncertain linear systems. International Journal of Robust and Nonlinear Control, 8, 649-657.
25. SHI, Z. C., and GAO, W. B, 1987, Decentralized stabilization of time-varying large-scale interconnected systems. International Journal of Systems Science, 18, 1523-1535.
26. SILJAK, D., 1978, Large-scale Dynamic Systems: Stability and Structure (Amsterdam: North-Holland).
27. YAN, J.-J., TSAI, J. S.-H., and KUNG, F.-C., 1998, Robust stabilization of large-scale systems with nonlinear uncertainties via decentralized state feedback. Journal of The Franklin Institute, 335B, 951-961.
28. YU, L., and CHU, J., 1999, An LMI approach to guaranteed cost control of linear uncertain time-delay systems. Automatica, 35, 1155-1159.