A Lyapunov's direct method for the global robust stabilization of nonlinear cascaded systems

Title: A Lyapunov's direct method for the global robust stabilization of nonlinear cascaded systems
Creator: Chen, Zhiyong; Huang, Jie
Relation: Automatica Vol. 44, Issue 3, p. 745-752
Publisher Link: http://dx.doi.org/10.1016/j.automatica.2007.06.027
Publisher: Elsevier
Resource Type: journal article
Date: 2008
Description: The global robust stabilization problem of cascaded systems with dynamic uncertainty has been approached by the small gain theorem. This method, however, does not produce an explicit Lyapunov function for the closed-loop system. In this paper, we develop a Lyapunov’s direct method based recursive approach to solving the global robust stabilization problem for the mentioned systems. This method also produces an explicit Lyapunov function for the closed-loop system which is a superposition of those of individual subsystems. This Lyapunov function is indispensable when the adaptive control of the same class of systems is further considered.
Subject: stabilization; nonlinear control; Lyapunov methods; robust control; adaptive control
Identifier: http://hdl.handle.net/1959.13/41592
Identifier: uon:4879
Identifier: ISSN:0005-1098
Language: eng
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