2009•Unpublished venueRequires access

Constructive Lyapunov functions and stabilizing feedback for nonlinear systems

Xiushan Cai, Shaoqing Su, Ping-Fan Dai, Lihua Lin, Rong Lin

Abstract

This paper deals with the stabilization for a broad class of nonlinear systems. First, we construct smooth Lyapunov functions from a known weak control Lyapunov function of the system. It is proved that a weak control Lyapunov function satisfying a less conservative condition can be used to design a globally stabilizing control law. The simulation shows the effectiveness of the method.

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Available abstract

Key concepts: Lyapunov redesign, Lyapunov function, Control-Lyapunov function, Constructive, Control theory (sociology), Lyapunov equation, Nonlinear system, Lyapunov optimization