ROBUST OUTPUT FEEDBACK CONTROL FOR DISCRETE TIME-DELAY UNCERTAIN SYSTEMS

P. Shi, Z. Lin,and Y. Shi

References

  1. [1] M. Malek-Zavarei & M. Jamshidi, Time-delay systems: Analy-sis, optimization and applications, North-Holland Systems andControl Series (North Holland Publisher: Amsterdam, 1987).
  2. [2] H. Trinh & M. Aldeen, Robust stability of singularly perturbeddiscrete-delay systems, IEEE Trans. Automatic Control, 40(9),1995, 1620–1623. doi:10.1109/9.412632
  3. [3] L. Sun & K. Chen, Robust analysis of nonlinear discretesystems with multiple time delays, International Journal ofRobust and Nonlinear Control, 6, 1996, 843–854. doi:10.1002/(SICI)1099-1239(199610)6:8<843::AID-RNC195>3.0.CO;2-Q
  4. [4] F. Hsiao, J. Hwang, & S. Pan, D-stability analysis for discreteuncertain time-delay systems, Applied Mathematics Letters,11(2), 1998, 109–114. doi:10.1016/S0893-9659(98)00020-2
  5. [5] Z. Weng & S. Shi, H∞ state-feedback control of discrete-timesystems with norm-bounded time-varying uncertainty, ControlTheory and Applications, 15(5), 1998, 734–740.
  6. [6] S. Song & J. Kim, H∞ control of discrete-time linear systemswith norm-bounded uncertainties and time delay in state,Automatica, 34(1), 1998, 137–139. doi:10.1016/S0005-1098(97)00182-9
  7. [7] M.S. Mahmoud & P. Shi, Methodologies for control of jumptime-delay systems (Boston: Kluwer, 2003).
  8. [8] V.B. Kolmanovskii, J.F. Lafay, & J.P. Richard, Riccati equa-tions in stability theory of difference equations with memory,5th European Control Conf. (Karlsruhe, Germany: BlackwellPublisher, 1999), 215–210.
  9. [9] J.H. Kim & H.B. Park, H∞ state-feedback control for gener-alized continuous/discrete time-delay system, Automatica, 35,1999, 1443–1451. doi:10.1016/S0005-1098(99)00038-2
  10. [10] S.H. Song, J.K. Kim, C.H. Yim, & H.C. Kim, H∞ control ofdiscrete-time linear systems with time-varying delays in state,Automatica, 35, 1999, 1587–1591. doi:10.1016/S0005-1098(99)00057-6
  11. [11] M.S. Mahmoud & L. Xie, Guaranteed cost control of uncertaindiscrete systems with delays, International Journal of Control,73(2), 2000, 105–114. doi:10.1080/002071700219812
  12. [12] L. Xie, Output feedback H∞ control of systems with parameteruncertainty, International Journal of Control, 63, 1996, 741–750. doi:10.1080/00207179608921866
  13. [13] L.Y. Wang & W. Zhan, Robust disturbance attenuation withstability for linear systems with norm-bounded nonlinear un-certainties, IEEE Trans. Automatic Control, 41, 1996, 886–888. doi:10.1109/9.506244
  14. [14] Z. Wang, B. Huang, & H. Unbehauen, Robust H∞ observer de-sign of linear state delay systems with parametric uncertainty:The discrete-time case, Automatica, 35, 1999, 1161–1167. doi:10.1016/S0005-1098(99)00008-4
  15. [15] E.K. Boukas & P. Shi, H∞ control for discrete-time linear sys-tems with Frobenius norm-bounded uncertainties, Automatica,35(9), 1999, 1625–1631. doi:10.1016/S0005-1098(99)00071-0
  16. [16] P. Shi & E.K. Boukas, H∞ control for Markovian jumping linearsystems with parametric uncertainty, Journal of OptimizationTheory and Applications, 95(1), 1997, 75–99. doi:10.1023/A:1022683311870
  17. [17] P. Shi, Filtering on sampled-data systems with parametricuncertainty, IEEE Trans. Automatic Control, 43(7), 1998,1022–1027. doi:10.1109/9.701119
  18. [18] P. Shi & V. Dragan, Asymptotic H∞ control for singularlyperturbed systems with parametric uncertainties, IEEE Trans.Automatic Control, 44(9), 1999, 1738–1742. doi:10.1109/9.788543
  19. [19] L. Xie, P. Shi, & C.E. de Souza, On designing controllers for aclass of uncertain sampled-data nonlinear systems, IEE Proc.Control Theory Applications, 140(2), 1993, 119–126.
  20. [20] N. Sharav-Schapiro, Z.J. Palmor, & A. Steinberg, Outputstabilizing robust control for discrete uncertain systems, Au-tomatica, 34(6), 1998, 731–739. doi:10.1016/S0005-1098(97)00232-X
  21. [21] P. Shi & S. Shue, Robust H∞ control of linear discrete-timesystems with norm-bounded nonlinear uncertainties, IEEETrans. Automatic Control, 44(1), 1999, 108–111. doi:10.1109/9.739084
  22. [22] P. Gahinet & P. Apkarian, A linear matrix inequality approachto H∞ control, Journal of Robust and Nonlinear Control, 4,1994, 421–428. doi:10.1002/rnc.4590040403
  23. [23] S. Boyd, L. El Ghaoui, E. Feron, & V. Balakrishnan, Linearmatrix inequalities in system and control theory, 15, SIAMStudies in Applied Mathematics (Philadelphia: SIAM Pub-lisher, 1994)

Important Links:

Go Back