State feedback design for input-saturating nonlinear quadratic systems

Authors:
Giórgio Valmórbida;Sophie Tarbouriech;Germain Garcia
Affiliations:
LAAS, CNRS, Université de Toulouse, Toulouse cedex 4, France;LAAS, CNRS, Université de Toulouse, Toulouse cedex 4, France;LAAS, CNRS, Université de Toulouse, Toulouse cedex 4, France and INSA, Toulouse, France
Venue:
ACC'09 Proceedings of the 2009 conference on American Control Conference
Year:
2009

Citing 3
Cited 1

Control Systems with Actuator Saturation: Analysis and Design

Control Systems with Actuator Saturation: Analysis and Design
Technical communique: On the region of attraction of nonlinear quadratic systems

Automatica (Journal of IFAC)
Survey paper: Set invariance in control

Automatica (Journal of IFAC)

Brief paper: State feedback design for input-saturating quadratic systems

Automatica (Journal of IFAC)

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Abstract

This paper proposes a method to design stabilizing state feedback control laws for nonlinear quadratic systems subject to input saturation. Based on a quadratic Lyapunov function and a modified sector condition, synthesis conditions in a "quasi"-LMI form are stated in a regional (local) context. An LMI-based optimization problem is then derived for computing the state feedback gains maximizing the stability region of the closed-loop system.