Simultaneous stabilization of single-input nonlinear systems with bounded controls

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Abstract

In this paper, the simultaneous stabilization of single-input nonlinear systems with bounded controls is considered. Using the Lyapunov approach and based on Lin–Sontag’s formula for bounded and continuous stabilizers for affine nonlinear systems, a constructive universal formula for the bounded simultaneous stabilization of single-input nonlinear systems is presented explicitly. An illustrative example is given to demonstrate the validity of the method.

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Correspondence to Mohamed Oumoun.

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Iggidr, A., Oumoun, M. Simultaneous stabilization of single-input nonlinear systems with bounded controls. Int. J. Dynam. Control (2020). https://doi.org/10.1007/s40435-020-00658-3

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Keywords

  • Simultaneous stabilization
  • Nonlinear systems
  • Control Lyapunov function
  • Bounded state feedback