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Robust stabilisation for a class of discrete-time systems with time-varying delays via delta operators

Robust stabilisation for a class of discrete-time systems with time-varying delays via delta operators

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The problem of robust state feedback control using delta operator approach for a class of linear fractional uncertain systems with time-varying delays is investigated. Based on Lyapunov–Krasovskii functional in delta domain, a new delay-dependent state feedback controller is presented in terms of linear matrix inequalities. The sampling-period T is an explicit parameter, and thus it is easy to observe and analyse the effect of the state feedback controller with different sampling periods. The proposed method can unify some previous related continuous and discrete systems into the framework of delta operator systems. Numerical examples are given to illustrate the effectiveness of the developed techniques.

References

    1. 1)
      • G.C. Goodwin , R.H. Middleton . Rapprochement between continuous and discrete model reference adaptive control. Automatica , 6 , 199 - 207
    2. 2)
      • Z. Xiang , Q. Chen , R. Zhang . Robust stability analysis and control for fuzzy systems with uncertainties using the delta operator. Control Decis. , 6 , 720 - 723
    3. 3)
      • D. Li , S. Fei . Robust stabilization for delta operator based systems. Fuzzy Syst. Math. , 2 , 140 - 145
    4. 4)
    5. 5)
    6. 6)
    7. 7)
    8. 8)
      • C.B. Soh . Robust discrete time systems using delta operator. Int. J. Control , 2 , 453 - 464
    9. 9)
      • C.B. Soh . Robust stability of discrete-time systems using delta operator. IEEE Trans. Autom. Control , 3 , 377 - 380
    10. 10)
      • G. Emmanuel , J. Collins , T. Song . A delta operator approach to discrete-time H∞ control. Int. J. Control , 4 , 315 - 320
    11. 11)
    12. 12)
    13. 13)
    14. 14)
      • Y. Xia , Y. Jia . Robust stability analysis for time-delay systems with polytopic uncertainties via parameter-dependent Lyapunov functionals. Int. J. Control , 1427 - 1434
    15. 15)
      • E.K. Boukas , N.F. Al-Muthairi . Delay-dependent stabilization of singular linear systems with delays. Int. J. Innovative Comput. Inf. Control , 2 , 283 - 291
    16. 16)
    17. 17)
    18. 18)
      • S. Xu , T. Chen . Robust H∞ control for uncertain discrete-time systems with time-varying delays via exponential output feedback controllers. Syst. Control Lett. , 171 - 183
    19. 19)
    20. 20)
    21. 21)
      • Jiang, X., Han, Q., Yu, X.: `Stability criteria for linear discrete-time systems with interval-like time-varying delay', American Control Conf., June 2005, Portland, OR, USA, p. 2817–2822.
    22. 22)
    23. 23)
    24. 24)
    25. 25)
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