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Guaranteed cost control for uncertain large-scale systems with time-delays via delayed feedback. (English) Zbl 1094.93020

The authors give a delayed feedback controller design method for guaranted cost stabilization of uncertain large-scale interconnected systems with time-delays. An illustrating example shows that the obtained controllers stabilize the system and guarantee an adequate level of performance in spite of uncertainties.

MSC:

93D15 Stabilization of systems by feedback
93D05 Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory

Software:

LMI toolbox
Full Text: DOI

References:

[1] Siljak, D., Large-scale dynamic systems: stability and structure (1978), North Holland: North Holland Amsterdam · Zbl 0384.93002
[2] Mahmoud, M.; Hassen, M.; Darwish, M., Large-scale control system: theories and techniques (1985), Marcel-Dekker: Marcel-Dekker New York · Zbl 0628.93001
[3] Wu, H. S., J Optim Theory Appl, 100, 59-87 (1999) · Zbl 0927.93043
[4] Park, J. H., J Dynam Syst Measur Control, 123, 332-336 (2002)
[5] Park, J. H., J Optim Theory Appl, 113, 105-119 (2002) · Zbl 1006.93063
[6] Chang, S. S.L.; Peng, T. K.C., IEEE Trans Automat Control, 17, 474-483 (1972) · Zbl 0259.93018
[7] Yu, L.; Chu, J., Automatica, 35, 1155-1159 (1999) · Zbl 1041.93530
[8] Moheimani, S. O.R.; Petersen, I. R., IEE Proc—Control Theory Appl, 144, 183-188 (1997) · Zbl 0873.49024
[9] Lee YS, Moon YS, Kwon WH. In: Proceedings of the American control conference, Arlington, VA, 2001. p. 3376-81.; Lee YS, Moon YS, Kwon WH. In: Proceedings of the American control conference, Arlington, VA, 2001. p. 3376-81.
[10] Part, J. H., J Comput Appl Math, 151, 371-382 (2003) · Zbl 1038.93044
[11] Moon, Y. S.; Part, P.; Kwon, W. H., Automatica, 37, 307-312 (2001) · Zbl 0969.93035
[12] Kwon, O.; Won, S.; Yue, D., IEICE Trans Fundam, E86A, 2413-2418 (2003)
[13] Yue, D.; Won, S.; Kwon, O., IEE Proc—Control Theory Appl, 150, 23-28 (2003)
[14] Boyd, B.; Ghaoui, L. E.; Feron, E.; Balakrishnan, V., Linear matrix inequalities in systems and control theory (1994), SIAM: SIAM Philadelphia · Zbl 0816.93004
[15] Hale, J.; Verduyn-Lunel, S. M., Introduction to functional differential equations (1993), Springer-Verlag: Springer-Verlag New York, NY · Zbl 0787.34002
[16] Gu K. In: Proceedings of the IEEE conference on decision and control, Sydney, Australia, 2000. p. 2805-10.; Gu K. In: Proceedings of the IEEE conference on decision and control, Sydney, Australia, 2000. p. 2805-10.
[17] Gahinet, P.; Nemirovski, A.; Laub, A.; Chilali, M., LMI control toolbox user’s guide (1995), The Mathworks: The Mathworks Massachusetts
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