Abstract
One of the basic fundamental issues in control theory is the ability to design a feedback law to the purpose of robustly stabilizing a system, in the presence of structured uncertainties, such as parameter variations, and/or unstructured uncertainties, such as unmodeled dynamics.
Work supported in part by NSF under grant ECS-9707891, by AFOSR under grant F49620-95-1-0232, and by MURST.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
J. Ball, J.W. Helton, and M.L. Walker, H∞ control for nonlinear systems via output feedback, IEEE Trans. Autom. Control, 38: pp. 546–559, 1993
T. Basar and P. Bernhard, H∞-optimal control and related Minimax design problems, Birkhauser, 1990.
C.I. Byrnes, A. Isidori, Asymptotic stabilization of minimum-phase nonlinear systems, IEEE Trans. Aut. Contr., AC-36: pp. 1122–1137, 1991.
F. Esfandiari and H.K. Khalil, Output feedback stabilization of fully linearizable systems, Int. J. Contr., 56: pp. 1007–1037, 1992.
R.A. Freeman and P.V. Kokotović, Design of ‘softer’ robust nonlinear control laws, Automatica, 29: pp. 1425–1437, 1993.
R.A. Freeman and P.V. Kokotović, Tracking controllers for systems linear in the unmeasured states, Automatica, 32: pp. 735–746, 1996.
J.P. Gauthier and G. Bornard, Observability for any u(t) of a class of nonlinear systems, IEEE Trans. Automat. Contr., AC-26: pp. 922–926, 1981.
J. Imura, T. Sugie, and T. Yoshikawa, Global robust stabilization of nonlinear cascaded systems, IEEE Trans. Automat. Contr., AC-39: pp. 1084–1089, 1994.
A. Isidori, Nonlinear Control Systems, Springer-Verlag, New York, third edition, 1995.
A. Isidori, Semiglobal practical stabilization of uncertain non-minimum-phase nonlinear systems via output feedback, 4th IFAC Symp. Nonlinear Contr. Syst. Design, 1998, to appear.
Z.P. Jiang and I. Mareels, A small gain control method for nonlinear cascaded systems with dynamic uncertainties, IEEE Trans. Automat. Contr., AC-42: pp. 292–308, 1997.
Z.P. Jiang, I.M. Mareels and Y. Wang, A Lyapunov formulation of the nonlinear small-gain theorem for interconnected ISS systems, Automatica, 32: pp. 1211–1215, 1996.
Z.P. Jiang, A. Teel and L. Praly, Small-gain theorem for ISS systems and applications, Mathematics of Control, Signals and Systems, 7: pp. 95–120, 1994.
H.K. Khalil and F. Esfandiari, Semiglobal stabilization of a class of nonlinear systems using output feedback, IEEE Trans. Automat. Contr., AC-38: pp. 1412–1415, 1993.
M. Krstic, I. Kanellakopoulos, P. Kokotovic, Nonlinear Adaptive Control Design, J.Wiley (New York), 1995.
R. Marino, P. Tomei, Global adaptive output feedback control of nonlinear systems, part I: linear parametrization, IEEE Trans. Autom. Control AC-38: pp. 17–32, 1993.
R. Marino, P. Tomei, Global adaptive output feedback control of nonlinear systems, part II: nonlinear parametrization, IEEE Trans. Autom. Control AC-38: pp. 33–48, 1993.
F. Mazenc and L. Praly, Adding integrations, saturated controls and stabilization for feedforward systems, IEEE Trans. Automat. Contr., AC-41: pp. 1559–1577, 1996.
R. Sepulchre. M. Jankovic, P.V. Kokotovic, Constructive Nonlinear Control, Springer Verlag, 1996.
E.D. Sontag, On the input-to-state stability property, European J. Contr., 1: pp. 24–36, 1995.
E. Sontag, Y. Wang, On characterizations of the input-to-state stability property, Syst Contr. Lett 24: pp. 351–359, 1995.
A. Teel and L. Praly, Global stabilizability and observability imply semi-global stabilizability by output feedback, Systems Contr. Lett., 22: pp. 313–325, 1994.
A. Teel and L. Praly, Tools for semiglobal stabilization by partial state and output feedback, SIAM J. Control & Optimization, 33: pp. 1443–1488, 1995.
A. Tornambe, Output feedback stabilization of a class of non-minimum phase nonlinear systems, Systems Contr. Lett, 19: pp. 193–204, 1992.
A.J. Van der Schaft, L2-gain analysis of nonlinear systems and nonlinear H∞ control, IEEE Trans. Autom. Control, AC-37: pp. 770–784, 1992.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1999 Birkhäuser Verlag Basel/Switzerland
About this paper
Cite this paper
Isidori, A. (1999). Stabilization of Nonlinear Systems Using Output Feedback. In: Picci, G., Gilliam, D.S. (eds) Dynamical Systems, Control, Coding, Computer Vision. Progress in Systems and Control Theory, vol 25. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-8970-4_6
Download citation
DOI: https://doi.org/10.1007/978-3-0348-8970-4_6
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-0348-9848-5
Online ISBN: 978-3-0348-8970-4
eBook Packages: Springer Book Archive