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A unified framework for identification and control

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Feedback Control, Nonlinear Systems, and Complexity

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 202))

Abstract

In this paper we examine some of the recent complexity results in worst case deterministic, or control-oriented system identification. We use these as motivation for introducing a unified approach for iterative system identification and control. The approach is an iterative procedure for refining the uncertainty set via robust control based model invalidation and can be viewed as a systematic way of efficiently searching for a controller delivering a certain desired level of performance to the plant. As a result, either the performance goal will be met or the entire uncertainty set will be invalidated in accordance with our modeling and control method biases. We will comment on the computations involved in such a procedure and provide some results for a particular model structure.

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References

  1. Kuang-Hang Chen. System identification with corellated noise descriptions. Master's thesis, Massachusetts Institute of Technology, Cambridge, MA, May 1994.

    Google Scholar 

  2. M.A. Dahleh and J. Doyle. “From Data to Control”. In Proc. Workshop on Modeling of Uncertainty in Control Systems. Springer-Verlag, 1992.

    Google Scholar 

  3. M.A. Dahleh, T.V. Theodosopoulos, and J.N. Tsitsiklis. “The sample complexity of worst-case identification of FIR linear systems”. Systems Control Lett., 20(3):157–166, March 1993.

    Google Scholar 

  4. G. Gu and P. Khargonekar. “Linear and Nonlinear Algorithms for Identification in H With Error Bounds”. IEEE Transactions on Automatic Control, 34(8):831–847, July 1992.

    Google Scholar 

  5. A.J. Helmicki, K. Jacobson, and C. Nett. “Control Oriented System Identification in H ”. IEEE Transactions on Automatic Control, 36(10):1163–1176, October 1991.

    Google Scholar 

  6. P. Khargonekar. “System Identification in Frequency Domain: Theory and Examples”. Proceedings Conf. Feedback Control, Nonlinear Systems, and Complexity, May 1994.

    Google Scholar 

  7. R. Kosut, M. Lau, and S. Boyd. “Set-Membership Identification of Systems with Parametric and Nonparametric Uncertainty”. IEEE Trans. on Auto. Control, 37(7):929–941, July 1992.

    Google Scholar 

  8. W. Lee, B. Anderson, R. Kosut, and I. Mareels. “On Adaptive Robust Control and Control-Relevent System Identification”. Proc. 1992 American Control Conference, Chicago, IL, pages 2834–2841, June 1992.

    Google Scholar 

  9. M.M. Livstone, M.A. Dahleh, and J.A. Farrell. “A Framework for Control Based Model Invalidation”. To Appear in the 1994 American Control Conf., Baltimore, MD.

    Google Scholar 

  10. P.M. Mäkilä. “Robust Identification and Galois Sequences”. Technical Report Rep. 91-1, Åbo Akademi (Swedish University of Åbo), Åbo, Finland, January 1991.

    Google Scholar 

  11. Fernando Paganini. “Set Descriptions of White Noise and Worst Case Induced Norms”. Technical report, California Institute of Technology), Pasadena, CA, February 1993.

    Google Scholar 

  12. K. Poolla and A. Tikku. “On the Time Complexity of Worst-Case System Identification”. IEEE Transactions on Automatic Control, 39(5):944–950, May 1994.

    Google Scholar 

  13. A. Rantzer and A. Megretski. “A Convex Parameterization of Robustly Stabilizing Controllers”. Technical report, The Royal Institute of Technology, Stockholm, Sweden, 1993.

    Google Scholar 

  14. R. Schrama and P. Van den Hof. “An Iterative Scheme for Identification and Control Design Based on Coprime Factorizations”. Proc. 1992 American Control Conference, Chicago, IL, pages 2842–2846, June 1992.

    Google Scholar 

  15. Ruud Schrama. “Approximate Identification and Control Design”. PhD thesis, Delft University of Technology, Delft, The Netherlands, March 1992.

    Google Scholar 

  16. D. Tse, M.A. Dahleh, and J. Tsisiklis. “Optimal Asymptotic Identification Under Bounded Disturbances”. Proc. 1992 American Control Conference, Chicago, IL, pages 679–685, July 1992.

    Google Scholar 

  17. Z. Zang, R. Bitmead, and M. Gevers. “H 2 Iterative Model Refinement and Control Robustness Enhancement”. Proc. 1991 Conference on Decision and Control, Brighton, England, pages 279–284, December 1991.

    Google Scholar 

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Bruce Allen Francis Allen Robert Tannenbaum

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© 1995 Springer-Verlag London Limited

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Dahleh, M.A., Livstone, M.M. (1995). A unified framework for identification and control. In: Francis, B.A., Tannenbaum, A.R. (eds) Feedback Control, Nonlinear Systems, and Complexity. Lecture Notes in Control and Information Sciences, vol 202. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0027670

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  • DOI: https://doi.org/10.1007/BFb0027670

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-19943-4

  • Online ISBN: 978-3-540-39364-1

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