Decentralized robust H∞ control of uncertain large-scale systems with state-delays-LMIs approach

Proceedings of the American Control Conference

Volumn 5, Issue , 1998, Pages 3111-3115

  Cheng, Chuwang ^a   Tang, Bingyong ^a   Cao, Yongyan ^b   Sun, Youxian ^b  

^a DONGHUA UNIVERSITY   (China)

^b STATE KEY LABORATORY OF INDUSTRIAL CONTROL TECHNOLOGY   (China)

Author keywords

Decentralized control; H control; Robust control; Time delay; Uncertain system

Indexed keywords

DECENTRALIZED CONTROLLER; MEMORY-LESS STATE FEEDBACK; PARAMETER UNCERTAINTY; ROBUST H; STATE DELAY; SUFFICIENT CONDITIONS; UNCERTAIN LARGE-SCALE SYSTEMS;

DELAY CONTROL SYSTEMS; LINEAR MATRIX INEQUALITIES; ROBUST CONTROL; STATE FEEDBACK; TIME DELAY; UNCERTAIN SYSTEMS;

DECENTRALIZED CONTROL;

EID: 0010675020     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ACC.1998.688432     Document Type: Conference Paper

References (22)

1. E.J. Davison, The decentralized stabilization and control of a class; of unknown nonlinear time-varying systems. A utomatica, Vol. 10, pp. 309-316, 1974.
2. M. Ikeda and D.D. Siljak, Decentralized stabilization of linear time-varying systems. IEEE trans. Automat. Contr., Vol. 25, pp. 106-107, 1980.
3. M.S. Mahmoud, M.F. Hassan and M.G. Darwish, large-scale Control Systems: Theories and Techniques. New York: Marcel-Dekker, 1985.
4. Z.C. Shi and W.B. Gao, Decentralized stabilization of time-varying large-scale interconnected systems. Int. J. Systems Sci., Vol. 18, pp. 1523-1535, 1987.
5. C.J. Mao and J.H. Yang, Decentralized robust stabilizing and output tracking controllers. Automatica, Vol. 31, pp. 151-154, 1995.
6. M.L. Ni and Y. Chen, Decentralized stabilization and output tracking of large-scale uncertain systems. Automatica, Vol. 32, pp. 1077-1080, 1996.
7. I.R. Petersen and C.V. Hollot, A Riccati equation approach to the stabilization of uncertain linear systems. Automatica, Vol. 22, pp. 397-411, 1986.
8. Y.H. Chen, G. Leitmann and X. Shanghai, Robust control design for interconnected systems with time-varying uncertainties. Int. J. Control, Vol. 54, pp. 1119-1142, 1991.
9. M.L. Ni and H.X. Wu, A Riccati equation Approach to the design of linear robust controllers. Automatica, Vol. 29, pp. 1603-1605, 1993.
10. K. Watanabe, E. Nobuyama and A. Kojima, Recent advances in control of time delay systems - A tutorial review. Proceedings of the 35th Conference on Decision and control, Kobe, Japan, Dec. 1996, 2083-2089.
11. T.H. Suh and Z. Bien, On stabilization by local state feedback for desecrate-time large scale systems with delays in interconnection. IEEE trans. Automat. Contr., Vol. 27, pp. 744-746, 1982.
12. T.N. Lee and U.L. Radovic, Decentralized stabilization of linear continuous and discrete-time systems with delays in interconnections. IEEE trans. Automat. Contr., Vol. 33, pp. 757-761, 1988.
13. A.S.C. Sinha, Stabilization of large-scale nonlinear infinite delay systems. Int. J. Systems Sci., Vol. 21, pp. 2679-2684, 1990.
14. Z.Z. Hu, Decentralized stabilization of large scale interconnected systems with delays. IEEE trans. Automat. Contr., vol 39, pp. 180-182, 1994.
15. H. Trinh and M. Aldeen, Stabilization of uncertain dynamic delay systems by memoryless feedback controllers. Int. J. Control, 59, pp. 1525-1542, 1994.
16. T.J. Su and C.G. Huang, Robust stability of delay dependent for linear uncertain systems, IEEE trans. Automat. Contr., Vol. 37 pp. 1656-1659, 1992.
17. B. Xu, Comments on "Robust stability of delay dependent for linear uncertain systems,", IEEE trans. Automat. Contr., Vol. 39 p. 2365, 1994.
18. ∞ control of uncertain systems with state-delays - LMI approach. The 2nd revised form was submitted to Automatica.
19. ∞ controllers for state delayed systems, IEEE trans. Automat. Contr., Vol. 39 pp. 159-161, 1994.
20. ∞ controller design for linear systems with delayed state and control, Automatica, Vol. 31. pp. 917-919, 1995.
21. ∞ control for linear systems with norm-bounded time-varying uncertainty, IEEE trans. Automat. Contr., Vol. 37 pp. 1188-1191, 1992.
22. F. Jabbari and W.E. Schmitendof, A non-iterative method for the design of linear robust controllers, IEEE trans. Automat. Contr., Vol. 35 pp. 954-957, 1990.