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Adaptive tracking control for a class of random pure‐feedback nonlinear systems with Markovian switching
Author(s) -
Yao Liqiang,
Zhang Weihai
Publication year - 2018
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.4071
Subject(s) - backstepping , control theory (sociology) , tracking error , integrator , nonlinear system , tracking (education) , controller (irrigation) , bounded function , computer science , markov process , class (philosophy) , strict feedback form , mathematics , adaptive control , control (management) , artificial intelligence , physics , psychology , computer network , pedagogy , mathematical analysis , statistics , bandwidth (computing) , quantum mechanics , agronomy , biology
Summary This note studies the tracking control problem for a class of random pure‐feedback nonlinear systems with Markovian switching and unknown parameters. An adaptive tracking controller is constructed by introducing an auxiliary integrator subsystem and using the improved backstepping method such that the closed‐loop system has a unique solution that is globally bounded in probability. Meanwhile, the tracking error can converge to an arbitrarily small neighborhood of zero via the parameter regulation technique. The efficiency of the tracking controller designed in this paper is demonstrated by simulation examples.