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Adaptive control and synchronization of Lorenz systems

โœ Scribed by Teh-Lu Liao; Sheng-Hung Lin

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
163 KB
Volume
336
Category
Article
ISSN
0016-0032

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โœฆ Synopsis

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 e!ectiveness of the proposed control scheme.

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