Adaptive control of stochastic nonlinear systems with uncontrollable linearization | Zendy

Qiangde Wang | Zendy; Chunling Wei | Zendy; Yuqiang Wu | Zendy

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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

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.

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