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p ‐Times differentiable unbounded functions for robust control of uncertain switched nonlinear systems with tracking constraints
Author(s) -
Niu Ben,
Zhao Xudong,
Zhang Lixian,
Li Hongyi
Publication year - 2014
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.3243
Subject(s) - backstepping , control theory (sociology) , nonlinear system , differentiable function , constraint (computer aided design) , constructive , class (philosophy) , robust control , tracking error , state (computer science) , controller (irrigation) , mathematics , computer science , constant (computer programming) , mathematical optimization , control (management) , adaptive control , algorithm , process (computing) , mathematical analysis , physics , geometry , quantum mechanics , artificial intelligence , agronomy , biology , operating system , programming language
Summary This paper investigates the problem of robust controller design for output‐constrained and state‐constrained uncertain switched nonlinear systems. By using the idea of p ‐times differentiable unbounded functions and the backstepping technique, a constructive method is proposed to design effective controllers such that the output of a class of uncertain switched nonlinear systems in lower triangular form can asymptotically track a constant reference signal without violation of the output tracking error constraint. Furthermore, the explored method is applied to the state‐constrained robust stabilization problem for a class of general uncertain switched nonlinear systems. Finally, a simulation example is provided to demonstrate the effectiveness of the developed results. Copyright © 2014 John Wiley & Sons, Ltd.