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Global Output‐Feedback Stabilization for Stochastic Nonlinear Systems with Function Control Coefficients
Author(s) -
Jin Shaoli,
Liu Yungang,
Man Yongchao
Publication year - 2016
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.1226
Subject(s) - backstepping , control theory (sociology) , nonlinear system , observer (physics) , output feedback , controller (irrigation) , nonlinear control , mathematics , function (biology) , computer science , control (management) , mathematical optimization , adaptive control , physics , quantum mechanics , artificial intelligence , evolutionary biology , agronomy , biology
This paper investigates the global output‐feedback stabilization for a class of stochastic nonlinear systems with function control coefficients. Notably, the systems in question possess control coefficients that are functions of output, rather than constants; hence, they are different from the existing literature on stochastic stabilization. To solve the control problem, an appropriate reduced‐order observer is introduced to reconstruct the unmeasured system states before a smooth output‐feedback controller is designed using the backstepping method, which guarantees that the closed‐loop system is globally asymptotically stable in probability. This paper combines the related results in the deterministic and stochastic setting and gives the first treatment on the global output‐feedback stabilization for the stochastic nonlinear systems with function control coefficients. A simulation example is given also to illustrate the effectiveness of the proposed approach.