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Global stabilization of a class of cascaded systems with upper‐triangular structures
Author(s) -
Lan Qixun,
Ding Shihong,
Li Shihua
Publication year - 2018
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.4241
Subject(s) - control theory (sociology) , nonlinear system , controller (irrigation) , triangular matrix , class (philosophy) , stability theory , computer science , scheme (mathematics) , state (computer science) , series (stratigraphy) , full state feedback , basis (linear algebra) , control (management) , mathematics , algorithm , artificial intelligence , physics , mathematical analysis , paleontology , geometry , quantum mechanics , pure mathematics , agronomy , invertible matrix , biology
Summary In this paper, the global stabilization problem of a class of cascaded systems with upper‐triangular structures is considered. On the basis of the forwarding technique, a series of virtual controllers are recursively constructed for the driving subsystem. According to the mild assumption imposed on the driven subsystem, a partial‐state feedback controller is obtained for the entire cascaded nonlinear system by developing a delicate design fashion. It is shown that the obtained state feedback controller will render the entire cascaded nonlinear system globally asymptotically stable. Numerical examples are conducted to validate the proposed control scheme.