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

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Title:	Global stabilization of systems containing a double integrator using a saturated linear controller
Authors:	Tyan, Feng;Bernstein, Dennis S.
Contributors:	淡江大學航空太空工程學系
Keywords:	Feedback control;Functions;Lyapunov methods;State feedback;System stability;Lyapunov function;Triple-integrator system;Linear control systems
Date:	1999-12
Issue Date:	2013-03-20 16:37:06 (UTC+8)
Publisher:	Bognor Regis: John Wiley & Sons Ltd.
Abstract:	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-semidefinite quadratic term and an integral term. The main result provides a sufficient 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 sufficient condition, which agrees with the known result.
Relation:	International Journal of Robust and Nonlinear Control 9(15), pp.1143-1156
DOI:	10.1002/(SICI)1099-1239(19991230)9:15<1143::AID-RNC455>3.0.CO;2-W
Appears in Collections:	[Graduate Institute & Department of Aerospace Engineering] Journal Article

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