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Robust mixed H2/H control for a class of nonlinear stochastic systems

Robust mixed H2/H control for a class of nonlinear stochastic systems

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The problem of mixed H2/H control is considered for a class of uncertain discrete-time nonlinear stochastic systems. The nonlinearities are described by statistical means of the stochastic variables and the uncertainties are represented by deterministic norm-bounded parameter perturbations. The mixed H2/H control problem is formulated in terms of the notion of exponentially mean-square quadratic stability and the characterisations of both the H2 control performance and the H robustness performance. A new technique is developed to deal with the matrix trace terms arising from the stochastic nonlinearities and the well-known S-procedure is adopted to handle the deterministic uncertainities. A unified framework is established to solve the addressed mixed H2/H control problem using a linear matrix inequality approach. Within such a framework, two additional optimisation problems are discussed, one is to optimise the H robustness performance, and the other is to optimise the H2 control performance. An illustrative example is provided to demonstrate the effectiveness of the proposed method.

References

    1. 1)
    2. 2)
    3. 3)
      • B.S. Chen , W. Zhang . Stochastic H2/H∞ control with state-dependent noise. IEEE Trans. Autom. Control , 1 , 45 - 57
    4. 4)
      • S. Boyd , L.E. Ghaoui , E. Feron , V. Balakrishnan . (1994) Linear matrix inequalities in system and control theory.
    5. 5)
      • F. Yang , Z. Wang , Y.S. Hung . Robust Kalman filtering for discrete time-varying uncertain systems with multiplicative noise. IEEE Trans. Autom. Control , 7 , 1179 - 1183
    6. 6)
    7. 7)
    8. 8)
      • H. Rotstein , M. Sznaier , M. Idan . Mixed H2/H∞ filtering theory and an aerospace application. Int. J. Robust Nonlinear Control , 347 - 366
    9. 9)
      • D.H. Jacobson . A general result in stochastic optimal control of nonlinear discrete-time systems with quadratic performance criteria. J. Math. Anal. Appl. , 153 - 161
    10. 10)
    11. 11)
      • C.W. Scherer . Multiobjective H2/H∞ control. IEEE Trans. Autom. Control , 6 , 1054 - 1062
    12. 12)
    13. 13)
    14. 14)
      • Y. Yaz , E. Yaz . On LMI formulations of some problems arising in nonlinear stochastic system analysis. IEEE Trans. Autom. Control , 4 , 813 - 816
    15. 15)
    16. 16)
      • H. Wang . (2000) Bounded dynamic stochastic systems: modelling and control.
    17. 17)
    18. 18)
    19. 19)
      • Lin, W.: `Mixed ', Proc. IEEE Conf. Decision and Control, December 1995, New Orleans, LA, p. 333–338.
    20. 20)
      • A.E. Bouhtouri , D. Hinrichsen , A.J. Pritchard . H∞-type control for discrete-time stochastic systems. Int. J. Robust Nonlinear Control , 13 , 923 - 948
    21. 21)
      • Khosrowjerdi, M.-J., Nikoukhah, R., Safari-Shad, N.: `Fault detection in a mixed ', Proc. IEEE Conf. Decision and Control, 2003, Maui, Hawaii, p. 1461–1466.
    22. 22)
      • Z. Wang , H. Qiao . Robust filtering for bilinear uncertain stochastic discrete-time systems. IEEE Trans. Signal Process. , 3 , 560 - 567
    23. 23)
      • V.A. Ugrinovskii . Robust H∞ control in the presence of stochastic uncertainty. Int. J. Control , 219 - 237
    24. 24)
      • B.S. Chen , C.S. Tseng , H.J. Uang . Mixed H2/H∞ fuzzy output feedback control design for nonlinear dynamic systems: an LMI approach. IEEE Trans. Fuzzy Syst. , 6 , 249 - 265
    25. 25)
      • A. Subramanian , A.H. Sayed . Multiobjective filter design for uncertain stochastic time-delay systems. IEEE Trans. Autom. Control , 1 , 149 - 154
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