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State Feedback Receding Horizon Controls

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Receding Horizon Control

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3.6 References

  1. D. L. Kleinman. An easy way to stabilize a linear constant system. IEEE Trans. Automat. Contr., 15:692, 1970.

    Article  Google Scholar 

  2. D. L. Kleinman. Stabilizing a discrete, constant, linear system with application to iterative methods for solving the Riccati equation. IEEE Trans. Automat. Contr., 19:252–254, 1974.

    Article  Google Scholar 

  3. W. H. Kwon and A. E. Pearson. A modified quadratic cost problem and feedback stabilization of a linear system. IEEE Trans. Automat. Contr., 22(5):838–842, 1977.

    Article  Google Scholar 

  4. W. H. Kwon and D. G. Byun. Receding horizon tracking control as a predictive control and its stability properties. Int. J. Contr., 50:1807–1824, 1989.

    Google Scholar 

  5. W. H. Kwon and A. E. Pearson. On feedback stabilization of time-varying discrete linear systems. IEEE Trans. Automat. Contr., 23(3):479–481, 1978.

    Article  Google Scholar 

  6. B. D. O. Anderson and J. B. Moore. Coping with singular transition matrices in estimation and control stability theory. Int. J. Contr., 31:571–586, 1980.

    Google Scholar 

  7. G. D. Nicolao and S. Strada. On the stability of receding-horizon LQ control with zero-state terminal constraint. IEEE Trans. Automat. Contr., 22(2):257–260, 1997.

    Article  Google Scholar 

  8. E. Yaz. A suboptimal terminal controller for linear discrete-time systems. Int. J. Contr., 40:271–289, 1984.

    Google Scholar 

  9. R. R. Bitmead, M. Gevers, and I. R. Petersen. Monotonicity and stabilizability properties of solutions of the Riccati difference equation: propositions, lemmas, theorems, fallacious conjecture and counterexamples. Systems and Control Letters, 5:309–315, 1985.

    Article  Google Scholar 

  10. M. A. Poubelle, R. R. Bitmead, and M. R. Gevers. Fake algebraic Riccati techniques and stability. IEEE Trans. Automat. Contr., 33:479–481, 1988.

    Article  Google Scholar 

  11. R. R. Bitmead, M. Gevers, and V. Wertz. Adaptive Optimal Control: The Thinking Man's GPC. Prentice-Hall, 1990.

    Google Scholar 

  12. H. Demircioglu and D. W. Clarke. Generalised predictive control with end point weighting. IEE Proc. Pt. D, 140(4):275–282, 1993.

    Google Scholar 

  13. V. Nevistic and J. Primbs. Finite receding horizon linear quadratic control: a unifying theory for stability and performance analysis. Technical Report CIT-CDS 97-001, Automatic Control Lab., Swiss Fedral Institute of Technology, 1997.

    Google Scholar 

  14. J. W. Lee, W. H. Kwon, and J. H. Choi. On stability of constrained receding horizon control with finite terminal weighting matrix. Automatica, 34(12):1607–1612, 1998.

    Article  Google Scholar 

  15. B. Kouvaritakis, J. A. Rossiter, and A. O. T. Chang. Stable generalised predictive control: an algorithm with guaranteed stability. IEE Proc. Pt. D, 139(4):349–362, 1992.

    Google Scholar 

  16. P. O. M. Scokaert and D. W. Clarke. Stability and feasibility in constrained predictive control. In D. W. Clarke, editor, Advances in model-based predictive control, Oxford, England., 1994. Oxford University Press.

    Google Scholar 

  17. J. B. Rawlings and K. R. Muske. The stability of constrained receding horizon control. IEEE Trans. Automat. Contr., 38:1512–1516, 1993.

    Article  Google Scholar 

  18. M. V. Kothare, V. Balakrishnan, and M. Morari. Robust constrained model predictive control using linear matrix inequalities. Automatica, 32:1361–1379, 1996.

    Article  Google Scholar 

  19. J. W. Lee, W. H. Kwon, and J. H. Lee. Receding horizon H∞ tracking control for time-varying discrete linear systems. Int. J. Contr., 68:385–399, 1999.

    Google Scholar 

  20. W. H. Kwon and K. B. Kim. On stabilizing receding horizon controls for linear continuous time-invariant systems. IEEE Trans. Automat. Contr., 45(7):1329–1334, 2000.

    Article  Google Scholar 

  21. J. W. Jun, S. Han, and W. H. Kwon. Fir filters and dual iir filters. Seoul Nat'l Univ., School of EE & CS Tech. Report No. SNU-EE-TR-2004-6, 2004-6, Nov. 2004.

    Google Scholar 

  22. W. H. Kwon and A. E. Pearson. A note on the algebraic matrix Riccati equation. IEEE Trans. on Automat. Contr., 22:143–144, 1977.

    Article  Google Scholar 

  23. W. H. Kwon, A. M. Bruckstein, and T. Kailath. Stabilizing statefeedback design via the moving horizon method. Int. J. Contr., 37:631–643, 1983.

    Google Scholar 

  24. K. B. Kim, Tae-Woong Yoon, and W. H. Kwon. On stabilizing receding horizon H∞ controls for linear continuous time-varying systems. IEEE Trans. Automat. Contr., 46(8):1273–1279, 2001.

    Article  Google Scholar 

  25. S. Lall and K. Glover. A game theoretic approach to moving horizon control. Advances in Model-Based Predictive Control, pages 131–144, 1994.

    Google Scholar 

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© 2005 Springer-Verlag London Limited

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(2005). State Feedback Receding Horizon Controls. In: Receding Horizon Control. Advanced Textbooks in Control and Signal Processing. Springer, London. https://doi.org/10.1007/1-84628-017-6_3

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  • DOI: https://doi.org/10.1007/1-84628-017-6_3

  • Publisher Name: Springer, London

  • Print ISBN: 978-1-84628-024-5

  • Online ISBN: 978-1-84628-017-7

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