Contractibility of dynamic LTI controllers using complementary matrices

IEEE Transactions on Automatic Control

Volumn 48, Issue 7, 2003, Pages 1269-1274

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

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

^b UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

Author keywords

Contractibility; Decentralized control; Dynamic controllers; Estimators; Inclusion principle; Overlapping

Indexed keywords

CONTROL EQUIPMENT; DECENTRALIZED CONTROL; FEEDBACK; MATRIX ALGEBRA;

INCLUSION PRINCIPLE;

LINEAR SYSTEMS;

EID: 0043268833     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2003.814275     Document Type: Article

References (17)

1. L. Bakule, J. Rodellar, and J. M. Rossell, "Generalized selection of complementary matrices in the inclusion principle," IEEE Trans. Automat. Contr., vol. 45, pp. 1237-1243, June 2000.
2. _, "Structure of expansion-contraction matrices in the inclusion principle for dynamic systems," SIAM J. Matrix Anal. Applicat., vol. 21, no. 4, pp. 1136-1155, 2000.
3. _, "Controllability-observability of expanded composite systems," Linear Alg. Applicat., vol. 332-334, pp. 381-400, 2001.
4. _, "Overlappig quadratic optimal control of linear time-varying commutative systems," SIAM J. Control Optim., vol. 40, no. 5, pp. 1611-1627, 2002.
5. L. Bakule, J. Rodellar, J. M. Rossell, and P. Rubió, "Preservation of controllability-observability in expanded systems," IEEE Trans. Automat. Contr., vol. 46, pp. 1155-1162, July 2001.
6. M. Hodžić and D. D. Šiljak, "Decentralized estimation and control with overlapping information sets," IEEE Trans. Automat. Contr., vol. AC-31, pp. 83-86, Jan. 1986.
7. A. Iftar, "Decentralized estimation and control with overlapping input, state, and output decomposition," Automatica, vol. 29, no. 2, pp. 511-516, 1993.
8. _, "Overlapping decentralized dynamic optimal control," Int. J. Control, vol. 58, no. 1, pp. 187-209, 1993.
9. A. Iftar and Ü. Özgüner, "Contractible controller design and optimal control with state and input inclusion," Automatica, vol. 26, no. 3, pp. 593-597, 1990.
10. M. Ikeda and D. D. Šiljak, "Overlapping decompositions, expansions and contractions of dynamic systems," Large Scale Syst., vol. 1, no. 1, pp. 29-38, 1980.
11. _, "Generalized decompositions of dynamic systems and vector lyapunov functions," IEEE Trans. Automat. Contr., vol. AC-26, pp. 1118-1125, Oct. 1981.
12. _, "Overlapping decentralized control with input state, and output inclusion," Control Theory Adv. Technol., vol. 2, no. 2, pp. 155-172, 1986.
13. M. Ikeda, D. D. Šiljak, and D. E. White, "Decentralized control with overlapping information sets," J. Optim. Theory Applicat., vol. 34, no. 2, pp. 279-310, 1981.
14. _, "An inclusion principle for dynamic systems," IEEE Trans. Automat. Contr., vol. AC-29, pp. 244-249, Mar. 1984.
15. S.S. Stanković and D. D. Šiljak, "Contractibility of overlapping decentralized control," Syst. Control Lett., vol. 44, pp. 189-200, 2001.
16. D.D. Šiljak, Decentralized Control of Complex Systems. New York: Academic, 1991.
17. D. D. Šiljak, S. M. Mladenović, and S. S. Stanković, "Overlapping decentralized observation and control of a platoon of vehicles," in Proc. Amer. Control Conf., San Diego, CA, 1999, pp. 4522-4526.