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Adaptive control of stochastic nonlinear systems with uncontrollable linearization
Author(s) -
Qiangde Wang,
Chunling Wei,
Yuqiang Wu
Publication year - 2009
Publication title -
international journal of adaptive control and signal processing
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.73
H-Index - 66
eISSN - 1099-1115
pISSN - 0890-6327
DOI - 10.1002/acs.1071
Subject(s) - integrator , control theory (sociology) , linearization , nonlinear system , feedback linearization , adaptive control , controller (irrigation) , stability (learning theory) , mathematics , computer science , control (management) , computer network , physics , bandwidth (computing) , quantum mechanics , artificial intelligence , machine learning , agronomy , biology
Abstract For a class of high‐order stochastic nonlinear systems with uncontrollable linearization, this paper investigates the problem of adaptive global stability in probability. By using the tool of adaptive adding a power integrator, a feedback domination design approach is presented and a smooth controller is constructed. The closed‐loop stochastic system is proved to be globally stable in probability and the states can be regulated to the origin almost surely. Copyright © 2008 John Wiley & Sons, Ltd.