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Output feedback control for a class of stochastic high‐order nonlinear systems with time‐varying delays
Author(s) -
Zha Wenting,
Zhai Junyong,
Fei Shumin
Publication year - 2013
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.2985
Subject(s) - control theory (sociology) , nonlinear system , observer (physics) , class (philosophy) , homogeneous , controller (irrigation) , basis (linear algebra) , mathematics , stability theory , computer science , feedback control , control (management) , lyapunov function , mathematical optimization , control engineering , engineering , artificial intelligence , physics , geometry , quantum mechanics , combinatorics , agronomy , biology
SUMMARY This paper discusses the problem of output feedback stabilization for a more general class of stochastic high‐order nonlinear systems with time‐varying delays. On the basis of a subtle homogeneous observer and controller construction, and the homogeneous domination approach, the closed‐loop system is globally asymptotically stable in probability, by choosing an appropriate Lyapunov–Krasovskii functional. An example is given to illustrate the effectiveness of the proposed design procedure. Copyright © 2013 John Wiley & Sons, Ltd.