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Convergence Analysis of Self-Tuning Controllers by Bayesian Embedding

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Robust Control of Linear Systems and Nonlinear Control

Part of the book series: Progress in Systems and Control Theory ((PSCT,volume 4))

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Abstract

We analyze adaptive control schemes which use recursive least squares parameter estimates.

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References

  1. P. R. Kumar, “Convergence of Adaptive Control Schemes using Least-Squares Parameter Estimates,” University of Illinois, January 1989. To appear in IEEE Transactions on Automatic Control.

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  2. J. Sternby, “On Consistency for the Method of Least-Squares using Martingale Theory,” IEEE Transactions on Automatic Control, vol. AC-22, p. 346, 1977.

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  3. H. Rootzen and J. Sternby, “Consistency in Least-Squares Estimation: A Bayesian Approach,” Automatica, vol. 20, no. 4, pp. 471–475, 1984.

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  4. R. S. Liptser and A. N. Shiryayev, Statistics of Random Processes II: Applications, New York, Springer-Verlag, 1977.

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  5. H.-F. Chen, P. R. Kumar and J. H. van Schuppen, “On Kalman Filtering for Conditionally Gaussian Systems with Random Matrices,” University of Illinois, February 1989. To appear in Systems and Control Letters.

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© 1990 Birkhäuser Boston

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Kumar, P.R. (1990). Convergence Analysis of Self-Tuning Controllers by Bayesian Embedding. In: Kaashoek, M.A., van Schuppen, J.H., Ran, A.C.M. (eds) Robust Control of Linear Systems and Nonlinear Control. Progress in Systems and Control Theory, vol 4. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-4484-4_34

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  • DOI: https://doi.org/10.1007/978-1-4612-4484-4_34

  • Publisher Name: Birkhäuser Boston

  • Print ISBN: 978-1-4612-8839-8

  • Online ISBN: 978-1-4612-4484-4

  • eBook Packages: Springer Book Archive

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