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Robustness of adaptive discrete-time LQG control for first-order systems

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EN
Abstrakty
EN
The discrete-time adaptive LQG control of first-order systems is considered from robustness point of view. Both stability and performance robustness are analyzed for different control system structures. A case of amplitude-constrained control is presented, and application of certainty equivalence for self-tuning implementation is also discussed.
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89--97
Opis fizyczny
Bibliogr. 16 poz., rys.
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autor
Bibliografia
  • [1] K.J. ˙Astr¨om and B. Wittenmark, Adaptive Control, Addison Wesley, Massachusetts, 1989.
  • [2] I.D. Landau, R. Lozano, and M. M’Saad, Adaptive Control, Springer, Berlin, 1998.
  • [3] T.-H. Kim and T. Sugie, “A new adaptive parameter estimation algorithm for robust constrained predictive control”, Proc. 44th IEEE CDC and ECC Conf. 2, 284–289 (2005).
  • [4] T.T. Tay and J.B. Moore, “Adaptive LQG controller with loop transfer recovery”, Int. J. Adapt. Contr. and Signal Proc. 5, 135–149 (1991).
  • [5] T.J. Moir, “Frequency-domain approach to state-space LQG self-tuning control”, IEE Proc. D 138 (4), 372–380 (1991).
  • [6] M.J. Grimble, “Controllers for LQG self-tuning applications with coloured measurement noise and dynamic costing”, IEE Proc. Pt. D 133 (1), 19–29 (1986).
  • [7] P.R. Kumar, “Optimal adaptive control of linear-quadraticgaussian systems”, SIAM J. Control and Optimization 21 (2), 163–178 (1983).
  • [8] M.C. Campi and P.R. Kumar, “Optimal adaptive control of an LQG system”, Proc. 35th Conf. on Decision and Control 1, 349–353 (1996).
  • [9] O.L.R. Jacobs, “Cost of uncertainty about controlled objects”, IEE Proc. Pt. D 136 (4), 177–186 (1989).
  • [10] A.E.B. Lim , J.B. Moore and L. Faybusovich, “Separation theorem for linearly constrained LQG optimal control”, Systems Control Letters 28, 227–235 (1996).
  • [11] J.M. Maciejowski, Multivariable Feedback Design, Addison- Wesley Publishing Company, Massachusetts, 1989.
  • [12] B.D.O. Anderson and J.B. Moore, Optimal Control. Linear Quadratic Methods, Prentice Hall, New Jersey, 1990.
  • [13] H.T. Toivonen, “Suboptimal control of discrete stochastic amplitude constrained systems”, Int. J. Control 37 (3), 493–502 (1983).
  • [14] A. Królikowski, “Amplitude constrained adaptive LQG control of first-order systems”, Int. J. Adapt. Contr. and Signal Proc. 9 (3), 285–299 (1995).
  • [15] P.M. M¨akil¨a and H.T. Toivonen, “Computational methods for parametric LQ problems – a survey”, IEEE Trans. Automat. Contr. AC 32 (8), 658–671 (1987).
  • [16] W. Lin, P.R. Kumar, and T.I. Seidman, “Will the self-tuning approach work for general cost criteria?”, Systems Control Letters 6, 77–85 (1985).
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Bibliografia
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bwmeta1.element.baztech-article-BPG8-0020-0009
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