Nonlinear Feedback Control for the Lorenz System

F. Gao, W.Q. Liu, Victor Sreeram, K.L. Teo

    Research output: Contribution to journalArticle

    12 Citations (Scopus)

    Abstract

    The Lorenz system is well known for its ability to produce chaotic motion and the control problem of this system has attracted much attention in recent years. In this paper, control of the Lorenz chaotic systems based on a nonlinear feedback technique is presented. The objective of control is two-fold: one is to drive the system to one of equilibrium points associated with uncontrolled chaotic motion and the other is to let one of the closed-loop system states track a given signal. The controllers designed here are based on exact linearization theory of nonlinear systems and can regulate the closed-loop system states globally to a given point. Finally, illustrative examples show the effectiveness of the proposed design method.
    Original languageEnglish
    Pages (from-to)57-69
    JournalDynamics and Control
    Volume11
    DOIs
    Publication statusPublished - 2001

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