On ℒ 2 performance induced by feedbacks with multiple saturations

Andrew R. Teel

ESAIM: Control, Optimisation and Calculus of Variations (1996)

  • Volume: 1, page 225-240
  • ISSN: 1292-8119

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Teel, Andrew R.. "On $\mathcal {L}_2$ performance induced by feedbacks with multiple saturations." ESAIM: Control, Optimisation and Calculus of Variations 1 (1996): 225-240. <http://eudml.org/doc/90497>.

@article{Teel1996,
author = {Teel, Andrew R.},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {input-output relations; stabilization; nonlinear systems with disturbances; feed-forward form; saturation function},
language = {eng},
pages = {225-240},
publisher = {EDP Sciences},
title = {On $\mathcal \{L\}_2$ performance induced by feedbacks with multiple saturations},
url = {http://eudml.org/doc/90497},
volume = {1},
year = {1996},
}

TY - JOUR
AU - Teel, Andrew R.
TI - On $\mathcal {L}_2$ performance induced by feedbacks with multiple saturations
JO - ESAIM: Control, Optimisation and Calculus of Variations
PY - 1996
PB - EDP Sciences
VL - 1
SP - 225
EP - 240
LA - eng
KW - input-output relations; stabilization; nonlinear systems with disturbances; feed-forward form; saturation function
UR - http://eudml.org/doc/90497
ER -

References

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  1. [1] H.K. Khalil: Nonlinear Systems, Macmillan Publishing Company, 1992. Zbl0969.34001MR1201326
  2. [2] W. Liu, Y. Chitour and E. Sontag: On finite gain stabilizability of linear Systems subject to input saturation, SIAM J. Control and Optimization, vol. 34, no. 4, 1996. Zbl0855.93077MR1395830
  3. [3] A. Megretski: L2 BIBO output feedback stabilization with saturated control, l3th World Congress of IFAC, pages 435-440, Volume D, San Francisco, California, 1996. 
  4. [4] H.J. Sussmann, E. D. Sontag, and Y. Yang: A general result on the stabilization of linear systems using bounded controls, IEEE Transactions on Automatic Control, 39(12): 2411-2425, 1994. Zbl0811.93046MR1337566
  5. [5] A.R. Teel: Global stabilization and restricted tracking for multiple integrators with bounded controls, Systems and Control Letters, 18(3): 165-171, 1992. Zbl0752.93053MR1153225
  6. [6] A.R. Teel: Using saturation to stabilize single-input partially linear composite nonlinear Systems, in Proceedings of the IFAC Nonlinear Control Systems Design Symposium, pages 224-229, Bordeaux, France, June 1992. 
  7. [7] A.R. Teel: Additional stability results with bounded controls, in Proceedings of 33rd IEEE Conference on Decision and Control, pp. 133-137, Orlando, FL., 1994. 
  8. [8] A.R. Teel: Examples of stabilization using saturation: an input-output approach, in Proceedings of the IFAC Nonlinear Control Systems Design Symposium, pages 232-237, Lake Tahoe, CA, June 1995. 
  9. [9] A.R. Teel: Linear Systems with input nonlinearities: global stabilization by scheduling a family of H&#x221E;-type controllers, Int. J. of Robust and Nonlinear Control, vol. 5, 399-411, 1995. Zbl0834.93040MR1346407
  10. [10] A.R. Teel: A nonlinear small gain theorem for the analysis of control Systems with saturation, IEEE Transactions Automatic Control, September, 1996. Zbl0863.93073

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