Input-to-state stability with respect to measurement disturbances for one-dimensional systems

Nicolas Chung Siong Fah

ESAIM: Control, Optimisation and Calculus of Variations (1999)

  • Volume: 4, page 99-121
  • ISSN: 1292-8119

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Chung Siong Fah, Nicolas. "Input-to-state stability with respect to measurement disturbances for one-dimensional systems." ESAIM: Control, Optimisation and Calculus of Variations 4 (1999): 99-121. <http://eudml.org/doc/90562>.

@article{ChungSiongFah1999,
author = {Chung Siong Fah, Nicolas},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {input-to-state stability; one-dimensional systems; periodic feedback; measurement disturbances},
language = {eng},
pages = {99-121},
publisher = {EDP Sciences},
title = {Input-to-state stability with respect to measurement disturbances for one-dimensional systems},
url = {http://eudml.org/doc/90562},
volume = {4},
year = {1999},
}

TY - JOUR
AU - Chung Siong Fah, Nicolas
TI - Input-to-state stability with respect to measurement disturbances for one-dimensional systems
JO - ESAIM: Control, Optimisation and Calculus of Variations
PY - 1999
PB - EDP Sciences
VL - 4
SP - 99
EP - 121
LA - eng
KW - input-to-state stability; one-dimensional systems; periodic feedback; measurement disturbances
UR - http://eudml.org/doc/90562
ER -

References

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  1. [1] E.D. Sontag, Smooth stabilization implies coprime factorization. IEEE Trans. Automat. Cont. 34 ( 1989) 435-443. Zbl0682.93045MR987806
  2. [2] R. Freeman, Global internal stabilizability does not imply global external stabilizability for small sensor disturbances. IEEE Trans. Automat. Contr. 40 ( 1996) 2119-2122. Zbl0843.93060MR1364962
  3. [3] R. Freeman and P. Kokotovic, Robust nonlinear control design - state-space and Lyapunov techniques, Birkhäuser, Boston Basel Berlin ( 1996). Zbl0857.93001MR1396307
  4. [4] E.D. Sontag, Mathematical control theory: Deterministic Finite Dimensional Systems, Text in Applied Mathematics 6, Springer-Verlag, New York Berlin Heidelberg ( 1990). Zbl0703.93001MR1070569
  5. [5] C. Samson, Velocity and torque feedback control of a nonholomic cart, in Robot Control, Proc. of the International Workshop on Nonlinear and Adaptive Control: Issues in Robotics, C. Canudas de Wit Ed., Grenoble, France, November 21-23, 1990, Springer-Verlag, Berlin Heidelberg New York, Lecture Notes in Control and Information Sciences 162 ( 1991) 125-151. Zbl0800.93910MR1180972
  6. [6] J.M. Coron, Global asymptotic Stabilization for controllable systems without drift. Math. Control Signals Systems 5 ( 1992) 295-312. Zbl0760.93067MR1164379
  7. [7] J.M. Coron, Stabilization in finite time of locally controllable systems by means of continuous time-varying feedback laws. SIAM J. Contr. Opt. 33 ( 1995) 804-833. Zbl0828.93054MR1327239
  8. [8] J.M. Coron, On the stabilization of controllable and observable systems by an output feedback law. Math. Control Signals Systems 7 ( 1994) 187-216. Zbl0830.93064MR1359027
  9. [9] R. Freeman, Time-varying feedback for the global stabilization of nonlinear systems with measurement disturbances, in Proc. European Control Conference, Brussels ( 1997). 
  10. [10] N.N. Krasovskii, Stability of motion, Standford University Press, Standford ( 1963). Zbl0109.06001MR147744
  11. [11] J.M. Coron, L. Praly and A. Teel, Feedback stabilization of nonlinear systems: sufficient conditions and Lyapynov and Input-output techniques, in Trends in Control, A. Isidori Ed., Springer-Verlag ( 1995) 293-348. MR1448452
  12. [12] E.D. Sontag and Y. Wang, New characterizations of the input to state stability property. IEEE Trans. Automat. Contr. 41 ( 1996) 1283-1294. Zbl0862.93051MR1409473
  13. [13] Y. Lin, Input-to-state stability for noncompact sets Proc. 13th IFAC World Congress, Vol. E, San Francisco ( 1996) 73-78. 

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