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Global stabilization of systems containing a double integrator using a saturated linear controller

✍ Scribed by Feng Tyan; Dennis S. Bernstein

Publisher
John Wiley and Sons
Year
1999
Tongue
English
Weight
118 KB
Volume
9
Category
Article
ISSN
1049-8923

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✦ Synopsis

In this paper, we present a Lyapunov function for systems containing a double integrator and with controller saturation. This Lyapunov function is composed of a positive-semide"nite quadratic term and an integral term. The main result provides a su$cient condition that guarantees a system with a double integrator can be globally stabilized by a saturating linear controller. For a triple-integrator system the saturated linear controller does not satisfy the su$cient condition, which agrees with the known result.

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