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Global stabilization of a class of uncertain upper‐triangular systems under sampled‐data control
Author(s) -
Du Haibo,
Qian Chunjiang,
Li Shihua
Publication year - 2013
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.2780
Subject(s) - class (philosophy) , control theory (sociology) , triangular matrix , control (management) , computer science , mathematics , artificial intelligence , pure mathematics , invertible matrix
SUMMARY This paper considers the problem of using a sampled‐data controller to globally stabilize a class of uncertain upper‐triangular systems. First, we design a continuous‐time controller by integrating the nested saturation and Lyapunov design methods together. Then, the explicit formula for the maximum allowable sampling period is computed such that the discretized controller will guarantee global stability and robustness against uncertainties of the closed‐loop system. The bound of a proposed sampled‐data controller can be adjusted to any small level to accommodate the actuation bound in practical implementation. Copyright © 2012 John Wiley & Sons, Ltd.