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Adaptive tracking control for random nonlinear system
Author(s) -
Yao Liqiang,
Feng Likang,
Wu Zhaojing
Publication year - 2017
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.3767
Subject(s) - backstepping , nonlinear system , control theory (sociology) , computer science , bounded function , controller (irrigation) , stochastic process , tracking (education) , adaptive control , stochastic differential equation , process (computing) , mathematical optimization , control engineering , mathematics , control (management) , engineering , artificial intelligence , psychology , pedagogy , physics , quantum mechanics , mathematical analysis , statistics , agronomy , biology , operating system
Summary In this note, we consider a class of strict‐feedback random nonlinear system with unknown parameters,which is different from nonlinear systems described by Itó stochastic differential equations. The skills to deal with the effect of Wiener process for stochastic nonlinear systems are not suitable for random nonlinear system. We employ separation technique to design an adaptive backstepping controller such that the output can practically track a given signal and other signals are bounded in probability. A simulation example is presented to demonstrate reasonability and efficiency of the proposed method. Copyright © 2017 John Wiley & Sons, Ltd.