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Delay-dependent robust H control for uncertain singular time-delay systems

Delay-dependent robust H control for uncertain singular time-delay systems

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The problem of delay-dependent robust H control for uncertain singular systems with time delay has been investigated. The considered systems are not assumed to be necessarily regular and impulse free. In terms of linear matrix inequality approach, a delay-dependent stability criterion is given to ensure the nominal system to be regular, impulse-free and stable. Based on the criterion, the problem is solved via state feedback controller, which guarantees that, for all admissible uncertainties, the closed-loop system is not only regular, impulse-free and stable, but also satisfies a prescribed H performance condition. Some numerical examples are provided to demonstrate the efficiency of the proposed methods.

References

    1. 1)
      • L. Dai . (1989) Singular control systems.
    2. 2)
      • F.L. Lewis . A survey of linear singular systems. Circuits, Syst. Signal Process. , 1 , 3 - 36
    3. 3)
      • I. Masubuchi , Y. Kamitane , A. Ohara , N. Suda . H∞ control for descriptor systems: a matrix inequalities approach. Automatica , 4 , 669 - 673
    4. 4)
    5. 5)
    6. 6)
      • J. Hale . (1977) Functional differential equations.
    7. 7)
    8. 8)
      • Kim, J.K., Lee, J.H., Park, H.B.: `Robust ', Proc. of American Control Conf., 2002, p. 620–621.
    9. 9)
    10. 10)
    11. 11)
    12. 12)
      • X. Zhang , M. Wu , Y. He . Delay-dependent H-infinity control for linear descriptor systems with time-delay. Control Theory Appl. , 4 , 649 - 652
    13. 13)
      • F. Yang , Q. Zhang . Delay-dependent H∞ control for linear descriptor systems with delay in state. J. Control Theory Appl. , 1 , 76 - 84
    14. 14)
      • Zhu, S., Li, Z., Cheng, Z.: `Delay-dependent robust resilient ', Proc. IEEE Conf. on Decision and Control, and European Control Conf., 2005, p. 1373–1378.
    15. 15)
      • R. Zhong , Z. Yang . Delay-dependent robust control of descriptor systems with time delay. Asian J. Control , 1 , 36 - 44
    16. 16)
      • D. Yue , Q. Han . Delay-dependent robust H∞ controller design for uncertain descriptor systems with time-varying discrete and distributed delays. IEE Proc., Control Theory Appl. , 6 , 628 - 638
    17. 17)
    18. 18)
    19. 19)
    20. 20)
      • L. Xie , C. E. de Souza . Robust H∞ control for linear systems with norm-bounded time-varying uncertainty. IEEE Trans. Autom. Control , 8 , 1188 - 1191
    21. 21)
    22. 22)
    23. 23)
      • H. Gao , C. Wang . Comments and further results on ‘a descriptor system approach to H∞ control of linear time-delay systems. IEEE Trans. Autom. Control , 3 , 1931 - 1937
    24. 24)
      • E.K. Boukas , Z. Liu . Delay-dependent stability analysis of singular linear continuous-time system. IEE Proc., Control Theory Appl. , 4 , 325 - 330
    25. 25)
      • R. Zhong , Z. Yang . Robust stability analysis of singular linear system with delay and parameter uncertainty. J. Control Theory Appli. , 2 , 195 - 199
    26. 26)
      • Fridman, E.: `A Lyapunov-based approach to stability of descriptor systems with delay', Proc. of IEEE Conf. on Decision and Control, 2001, p. 2850–2855.
    27. 27)
      • Zhu, S., Cheng, Z., Feng, J.: `Delay-dependent robust stability criterion and robust stabilization for uncertain singular time-delay systems', Proc. of American Control Conf., 2005, p. 2839–2844.
    28. 28)
    29. 29)
      • Gao, H., Zhu, S., Cheng, Z., Xu, B.: `Delay-dependent state feedback guaranteed cost control uncertain singular time-delay systems', Proc. of IEEE Conf. on Decision and Control, and European Control Conf., 2005, p. 4354–4359.
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