Robust overlapping guaranteed cost control of uncertain state-delay discrete-time systems

IEEE Transactions on Automatic Control

Volumn 51, Issue 12, 2006, Pages 1943-1950

  Bakule, Lubomír ^a   Rodellar, José ^b   Rossell, Josep Maria ^b  

^a INSTITUTE OF INFORMATION THEORY AND AUTOMATION   (Czech Republic)

^b UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

Author keywords

Decentralized control; Delay systems; Inclusion principle; Large scale systems; Robust control

Indexed keywords

CONTROL SYSTEM SYNTHESIS; DECENTRALIZED CONTROL; DELAY CONTROL SYSTEMS; LARGE SCALE SYSTEMS; ROBUSTNESS (CONTROL SYSTEMS); UNCERTAIN SYSTEMS;

COST CONTROL; INCLUSION PRINCIPLE; LINEAR MATRIX INEQUALITY;

DISCRETE TIME CONTROL SYSTEMS;

EID: 33845781598     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2006.886536     Document Type: Article

References (23)

1. M. Ikeda and D. Šiljak, "Overlapping decompositions, expansions and contractions of dynamic systems," Large Scale Syst., vol. 1, no. 1, pp. 29-38, 1980.
2. D. Šiljak, Decentralized Control of Complex Systems. New York: Academic, 1991.
3. L. Bakule, J. Rodellar, and J. Rossell, "Generalized selection of complementary matrices in the inclusion principle," IEEE Trans. Autom. Control, vol. 45, no. 6, pp. 1237-1243, Jun. 2000.
4. L. Bakuke, J. Rodellar, and J. Rossell, "Structure of expansion-contraction matrices in the inclusion principle for dynamic systems," SIAM J. Matrix Anal. Appl., vol. 21, no. 4, pp. 1136-1155, 2000.
5. M. Ikeda and D. Šiljak, "Overlapping decentralized control with input, state, and output inclusion," Control Theory Adv. Technol., vol. 2, no. 2, pp. 155-172, 1986.
6. M. Ikeda, D. Šiljak, and D. White, "Decentralized control with overlapping information sets," J. Optim. Theory Appl., vol. 34, no. 2, pp. 279-310, 1981.
7. L. Bakule, J. Rodellar, J. Rossell, and P. Rubió, "Preservation of controllability-observability in expanded systems," IEEE Trans. Autom. Control, vol. 46, pp. 1155-1162, 2001.
8. L. Bakule, J. Rodellar, and J. Rossell, "Inclusion principle for uncertain discrete-time systems with guaranteed cost," in Proc. 43rd IEEE Conf. Decision Control, Paradise Island, Bahamas, 2004, pp. 2712-2716.
9. L. Bakule, J. Rodellar, and J. Rossell, "Overlapping guaranteed cost control for uncertain discrete-time systems," in Prep. 10th IFAC/IFORS/IMACS/IFIP Symp. Large Scale Syst.: Theory Appl., Osaka, Japan, 2004, pp. 41-46.
10. X. Guan, Z. Lin, and G. Duan, "Robust guaranteed cost control for discrete-time uncertain systems with delay," Proc. Inst. Elect. Eng. Control Theory Appl., vol. 146, no. 6, 1999.
11. P. Jiang, H. Su, and J. Chu, "LMI approach to optimal guaranteed cost control for a class of linear uncertain discrete systems," in Proc. Amer. Control Conf., Chicago, IL, 2000, pp. 327-331.
12. L. Xie and Y. Soh, "Control of uncertain discrete-time systems with guaranteed cost," in Proc. 32nd Conf. Decision Control, San Antonio, TX, 1993, pp. 56-61.
13. S. Xu, J. Lam, C. Yang, and E. Verriest, "An LMI approach to guaranteed cost control for uncertain linear neutral delay systems," Int. J. Robust Nonlinear Control, vol. 13, pp. 35-53, 2003.
14. L. Yu, "Guaranteed cost control of uncertain linear discrete-time systems," in Proc. Amer. Control Conf., Alburquerque, NM, 1997, pp. 3181-3184.
15. L. Yu, F. Gao, and A. Xue, "Guaranteed cost control of uncertain discrete linear time-delay systems," in Proc. Amer. Control Conf., Chicago, IL, 2000, pp. 2481-2485.
16. L. Yu and J. Chu, "An LMI approach to guaranteed cost control of linear uncertain time-delay systems," Automatica, vol. 35, pp. 1155-1159, 1999.
17. L. Yu and F. Gao, "Optimal guaranteed cost control of discrete-time uncertain systems with both state and inputs delays," J. Franklin Inst., vol. 338, pp. 101-110, 2001.
18. O. Moheimani and I. Petersen, "Optimal quadratic guaranteed cost control of a class of uncertain time-delay systems," Proc. Inst. Elect. Eng. Control Theory Appl., vol. 144, no. 2, pp. 183-188, 1997.
19. S. Xu, J. Lam, and C. Yang, "Quadratic stability and stabilization of uncertain linear discrete-time systems with state delay," Syst. Control Lett., vol. 43, no. 2, pp. 77-84, 2001.
20. W. Rugh, Linear System Theory, 2nd ed. Upper Saddle River, NJ: Prentice-Hall, 1996.
21. C. Crusius and A. Trofino, "Sufficient LMI conditions for output feedback control problems," IEEE Trans. Autom. Control, vol. 44, no. 5, pp. 1053-1057, May 1999.
22. A. Zečević and D. Šiljak, "Design of robust static output feedback for large-scale systems," IEEE Trans. Autom. Control, vol. 49, no. 11, pp. 2040-2044, Nov. 2004.
23. P. Gahinet, A. Nemirovski, A. Laub, and M. Chilali, The LMI Control Toolbox. Natick, MA: The Math Works, Inc., 1995.