Simultaneous stabilization of single-input nonlinear systems with bounded controls

Simultaneous stabilization of single-input nonlinear systems with bounded controls

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 sim...

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Veröffentlicht in:International journal of dynamics and control 2021-06, Vol.9 (2), p.550-556
Hauptverfasser: Iggidr, Abderrahman, Oumoun, Mohamed
Format: Artikel
Sprache:eng
Schlagworte:
Automatic
Complexity
Control
Control and Systems Theory
Dynamical Systems
Engineering
Engineering Sciences
Mathematics
Nonlinear systems
Optimization and Control
Stabilization
Vibration
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Zusammenfassung: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.
ISSN:2195-268X
2195-2698
DOI:10.1007/s40435-020-00658-3