Adaptive control and synchronization of Lorenz systems

Teh Lu Liao; Sheng Hung Lin

doi:10.1016/S0016-0032(99)00010-1

Adaptive control and synchronization of Lorenz systems

Teh Lu Liao, Sheng Hung Lin

Department of Engineering Science

Research output: Contribution to journal › Article › peer-review

115 Citations (Scopus)

Abstract

This study addresses the adaptive control and synchronization problems of Lorenz systems with unknown system parameters. Based on the Lyapunov stability theory, an adaptive control law with single-state variable feedback is derived such that the trajectory of the Lorenz system is globally stabilized to an equilibrium point of the uncontrolled system. In addition, the adaptive control law is also applied to achieve the state synchronization of two identical Lorenz systems. Numerical results demonstrate the effectiveness of the proposed control scheme.

Original language	English
Pages (from-to)	925-937
Number of pages	13
Journal	Journal of the Franklin Institute
Volume	336
Issue number	6
DOIs	https://doi.org/10.1016/S0016-0032(99)00010-1
Publication status	Published - 1999 Aug

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Signal Processing
Computer Networks and Communications
Applied Mathematics

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10.1016/S0016-0032(99)00010-1

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title = "Adaptive control and synchronization of Lorenz systems",

abstract = "This study addresses the adaptive control and synchronization problems of Lorenz systems with unknown system parameters. Based on the Lyapunov stability theory, an adaptive control law with single-state variable feedback is derived such that the trajectory of the Lorenz system is globally stabilized to an equilibrium point of the uncontrolled system. In addition, the adaptive control law is also applied to achieve the state synchronization of two identical Lorenz systems. Numerical results demonstrate the effectiveness of the proposed control scheme.",

author = "Liao, {Teh Lu} and Lin, {Sheng Hung}",

note = "Funding Information: This research was supported by the National Science Council, Taiwan, Republic of China under Grant NSC 88-2213-E-006-092. ",

year = "1999",

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T1 - Adaptive control and synchronization of Lorenz systems

AU - Liao, Teh Lu

AU - Lin, Sheng Hung

N1 - Funding Information: This research was supported by the National Science Council, Taiwan, Republic of China under Grant NSC 88-2213-E-006-092.

PY - 1999/8

Y1 - 1999/8

N2 - This study addresses the adaptive control and synchronization problems of Lorenz systems with unknown system parameters. Based on the Lyapunov stability theory, an adaptive control law with single-state variable feedback is derived such that the trajectory of the Lorenz system is globally stabilized to an equilibrium point of the uncontrolled system. In addition, the adaptive control law is also applied to achieve the state synchronization of two identical Lorenz systems. Numerical results demonstrate the effectiveness of the proposed control scheme.

AB - This study addresses the adaptive control and synchronization problems of Lorenz systems with unknown system parameters. Based on the Lyapunov stability theory, an adaptive control law with single-state variable feedback is derived such that the trajectory of the Lorenz system is globally stabilized to an equilibrium point of the uncontrolled system. In addition, the adaptive control law is also applied to achieve the state synchronization of two identical Lorenz systems. Numerical results demonstrate the effectiveness of the proposed control scheme.

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JF - Journal of the Franklin Institute

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ER -

Adaptive control and synchronization of Lorenz systems

Abstract

All Science Journal Classification (ASJC) codes

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