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Global stabilization via nested saturation function for high‐order feedforward nonlinear systems with unknown time‐varying delays
Author(s) -
Song ZhiBao,
Sun ZongYao,
Yang ShaoHua,
Li Ting
Publication year - 2016
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.3512
Subject(s) - control theory (sociology) , nonlinear system , feed forward , controller (irrigation) , lyapunov function , sign function , computer science , function (biology) , saturation (graph theory) , control lyapunov function , class (philosophy) , mathematics , lyapunov redesign , control (management) , control engineering , engineering , mathematical analysis , agronomy , physics , quantum mechanics , artificial intelligence , evolutionary biology , combinatorics , biology
Summary We consider the global stabilization problem for a class of high‐order feedforward time‐delay nonlinear systems. The nested saturation function method is inherently improved to develop a continuous controller, without the requirements on the memory of the past input and the prior information of the time‐varying delays. The proposed controller is less conservative in terms of the level of nonlinearities whose upper bounds include high‐order, low‐order, and linear terms. The design procedures are provided based on the sign function technique, the homogeneous domination idea, and the search of Lyapunov function. Finally, a simulation example is used to demonstrate the application of the obtained theoretical results. Copyright © 2016 John Wiley & Sons, Ltd.