Feedback Stabilization of Nonlinear Systems: Sufficient Conditions and Lyapunov and Input-output Techniques

  • Jean-Michel Coron
  • Laurent Praly
  • Andrew Teel
Conference paper

Abstract

This lecture is devoted to the survey of some recent results on feedback stabilization of nonlinear systems. This text can be seen as a prolongation of the overview written by E. Sontag in 1990 [83] in several directions where progress has been made. It consists of three parts:
  • The first part is devoted to sufficient conditions on the stabilization problem by means of discontinuous or time-varying state or output feedback.

  • In the second part, we present some techniques for explicitly designing these feedbacks by using Lyapunov’s method. This introduces us with the notion of assignable Lyapunov function and leads us to concentrate our attention on systems having some special recurrent structure.

  • The third part presents some techniques for designing feedback based on L stability properties. This last section also addresses robustness through a small gain theorem.

Keywords

Manifold Torque Rium Nite Clarification 

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Copyright information

© Springer-Verlag London Limited 1995

Authors and Affiliations

  • Jean-Michel Coron
    • 1
  • Laurent Praly
    • 2
  • Andrew Teel
    • 3
  1. 1.Ecole Normale Supérieure de Cachan, Centre de Mathématiques et de Leurs ApplicationsUnité associée au CNRS - URA-1611Cachan CedexFrance
  2. 2.CAS Ecole des MinesFontainebleau CedexFrance
  3. 3.Department of Electrical EngineeringUniversity of MinnesotaMinneapolisUSA

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