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Sampled‐data output feedback stabilization for a class of p ‐norm switched stochastic nonlinear systems
Author(s) -
Jiang Yan,
Zhai Junyong,
Ye Hui
Publication year - 2020
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.2139
Subject(s) - control theory (sociology) , unobservable , integrator , nonlinear system , mathematics , observer (physics) , norm (philosophy) , controller (irrigation) , stability theory , lyapunov function , output feedback , computer science , control (management) , bandwidth (computing) , law , computer network , agronomy , physics , quantum mechanics , artificial intelligence , political science , econometrics , biology
This paper addresses the sampled‐data output feedback stabilization problem for a class of p ‐norm switched stochastic nonlinear systems with uncontrollable and unobservable linearizations around the origin. With sampled measurements, a reduced‐order observer is constructed to estimate the unmeasurable states. Based on adding a power integrator technique and the homogeneous domination approach, a sampled‐data output feedback controller is designed. Subsequently, by choosing an appropriate Lyapunov‐Krasoviskii functional combined with stochastic analysis techniques, it is shown that the closed‐loop system is globally asymptotically stable in probability under the proposed controller with a proper sampling period. Finally, two examples are presented to illustrate the effectiveness of the proposed scheme.