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Delay-Dependent Adaptive Sliding Mode Control of Uncertain Systems With State and Input Delays

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3 Author(s)
Chang-Hong Wang ; Space Control and Inertial Technology Research Center, Harbin Institute of Technology, Harbin 150001, China; E-MAIL: ; Li-Gang Wu ; Hui-Jun Gao

This paper is concerned with the robust stability and robust stabilization for a class of uncertain systems with delayed state and control. Introducing an extra time-delay term in system and taking the relationship between the terms in the Leibniz-Newton formula into account obtain a new delay-dependent stability criterion. Based on this stability criterion, firstly a sufficient condition is proposed for existence of the sliding mode in terms of linear matrix inequalities. Correspondingly, a sliding mode controller is also synthesized for the reaching motion. Moreover, an adaptive law is introduced to adaptively estimate the unknown external disturbances resulted by the system transformation. The control strategy guarantees the robust asymptotic stability of the closed-loop system. A numerical example is included to demonstrate the effectiveness of this control scheme.

Published in:

Machine Learning and Cybernetics, 2005. Proceedings of 2005 International Conference on  (Volume:1 )

Date of Conference:

18-21 Aug. 2005