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Finite‐time output tracking for a class of switched nonlinear systems
Author(s) -
Huang Shipei,
Xiang Zhengrong
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.3616
Subject(s) - integrator , control theory (sociology) , nonlinear system , bounded function , class (philosophy) , tracking error , tracking (education) , state (computer science) , regular polygon , power (physics) , computer science , mathematics , zero (linguistics) , control (management) , algorithm , telecommunications , psychology , mathematical analysis , pedagogy , linguistics , physics , geometry , philosophy , bandwidth (computing) , quantum mechanics , artificial intelligence
Summary This paper investigates the finite‐time output tracking for a class of switched nonlinear systems in p ‐normal form. Compared with the existing results, the restrictions on power orders of the system are relaxed. Using the convex combination method and the adding a power integrator technique, a state‐dependent switching and law, and state feedback controllers of individual subsystems are constructed. It is shown that all states of the closed‐loop system are bounded, and the tracking error can converge to a small neighborhood of zero in finite time. An example is provided to show the effectiveness of the proposed method. Copyright © 2016 John Wiley & Sons, Ltd.