Controller switching based on output predictions

  • Judith Hocherman-Frommer
  • Sanjeev R. Kulkarni
  • Peter J. Ramadge
Part B Hybrid Systems
Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 241)


We analyse a switching control system for controlling a plant with unknown parameters so that the output asymptotically tracks a reference signal. The controller is selected on-line from a given set of controllers according to a switching rule based on output prediction errors. We provide sufficient conditions under which the switched closed loop control system is exponentially stable and asymptotically achieves good tracking control even if the switching does not stop.


State Trajectory Output Prediction Switching Rule Controller Switching Adaptive Stabilization 
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  1. [1]
    Shankar Sastry and Mark Bodson, Adaptive Control: Stability, Convergence, and Robustness, Prentice Hall, Englewood Cliffs, New Jersey, 1989.zbMATHGoogle Scholar
  2. [2]
    K. Ciliz and K. Narendra, Multipole model based adaptive control of robotic manipulators, Proc. of the 33rd IEEE conference on Decision and Control, pp. 1305–1310, 1994.Google Scholar
  3. [3]
    W. A. Coppel, Dichotomies in stability theory, Lecture Notes in Mathematics No. 629, Springer, 1978.Google Scholar
  4. [4]
    C. A. Desoer, Slowly varying system \(\dot x = A(t)x\), IEEE Trans. on Automatic Control, pp. 780–781, Dec. 1969.Google Scholar
  5. [5]
    M. Fu and B. R. Barmish, Adaptive stabilization of linear systems via switching controls, IEEE Trans. on Automatic Control, pp. 1079–1103, Dec. 1986.Google Scholar
  6. [6]
    J. Hocherman-Frommer, S. R. Kulkarni, P. J. Ramadge, “Controller switching based on output prdiction errors,” To appear IEEE Transactions on Automatic Control, May 1998.Google Scholar
  7. [7]
    A. Ilchmann, D. H. Owens and D. Pratzel-Walters, “Sufficient conditions for stability of linear time varying systems,” Systems & Control Letters, No. 9, pp. 157–163, 1987.Google Scholar
  8. [8]
    S. Kulkarni and P. J. Ramadge, “Model and controller selection policies based on output prediction errors,” IEEE Transactions on Automatic Control, November 1996.Google Scholar
  9. [9]
    S. Kulkarni and P. J. Ramadge, “Prediction error based controller selection policies,” IEEE Conference on Decision and Control, New Orleans, Dec. 1995.Google Scholar
  10. [10]
    B. Mårtensson, “The order of any stabilizing regulator is sufficient a priori information for adaptive stabilization,” Systems and Control Letters, Vol. 6, No. 2, pp. 87–91, 1985.zbMATHCrossRefMathSciNetGoogle Scholar
  11. [11]
    D. E. Miller, “Adaptive stabilization using a nonlinear time-varying controller,” IEEE Trans. on Automatic Control, 39 (7), pp. 1347–1359, July 1994.zbMATHCrossRefGoogle Scholar
  12. [12]
    A. S. Morse, D. Q. Mayne, and G. C. Goodwin, “Applications of hysteresis switching in parameter adaptive control,” IEEE Trans. Automatic Control, 37 (9), pp. 1343–1354, Setp. 1992.zbMATHCrossRefMathSciNetGoogle Scholar
  13. [13]
    A. S. Morse, Supervisory control of families of linear set-point controllers, Proc. of the 32nd IEEE conference on Decision and Control, pp.1055–1060, 1993.Google Scholar
  14. [14]
    A. S. Morse, “Supervisory control of families of linear set-point controllers — part 1: exact matching,” preprint, March 1993.Google Scholar
  15. [15]
    A. S. Morse, “Control using logic-based switching,” Proc. of 1995 European Control Conference, Rome, Italy, Sept. 1995.Google Scholar
  16. [16]
    K. Narendra and J. Balakrishnan, “Improving transient response of adaptive control systems using multiple models and switching,” Proc. of the 32rd IEEE Conf. on Decision and Control, San Antonio, Texas, Dec. 1993.Google Scholar
  17. [17]
    K. Narendra and J. Balakrishnan, “Intelligent control using fixed and adaptive models,” Proc. of the 33rd IEEE Conf. on Decision and Control, pp. 1680–1685, Lake Buena Vista, Florida, Dec. 1994.Google Scholar
  18. [18]
    V. Solo, “On the stability of slowly time-varying linear systems,” Mathematics of Control, Signals and Systems, No. 7, pp. 331–350, 1994.Google Scholar
  19. [19]
    S. R. Weller and G. C. Goodwin, “Hysteresis switching adaptive control of linear multivariable systems,” IEEE Trans. Automatic Control, 39 (7), pp. 1360–1375, July 1994.zbMATHCrossRefMathSciNetGoogle Scholar
  20. [20]
    W. M. Wonham, Linear Multivariable Control: a Geometric Approach, Second Ed., Springer-Verlag, New York, 1979.zbMATHGoogle Scholar

Copyright information

© Springer-Verlag London Limited 1999

Authors and Affiliations

  • Judith Hocherman-Frommer
  • Sanjeev R. Kulkarni
  • Peter J. Ramadge
    • 1
  1. 1.Department of Electrical EngineeringPrinceton UniversityPrinceton

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