This article is cited in 7 papers

Nonlinear Systems

Synchronization of nonlinear Lurie systems on the basis of passification and backstepping

E. V. Usik

St. Petersburg State University, St. Petersburg, Russia

Abstract: The problems of passification and synchronization of nonlinear systems are solved with the aid of the backstepping method for cascade systems of the Lurie type with functional uncertainty. Estimates of the errors caused by bounded disturbances and controller discreteness are given. The stated theorem is extended to the case of net systems. The obtained results are applied to the synchronization problem of movement of two mobile wheeled robots and are illustrated by way of computational modeling.

Presented by the member of Editorial Board: A. L. Fradkov

Received: 02.05.2011

 English version: Automation and Remote Control, 2012, 73:8, 1305–1315

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