Stabilization for a Class of Stochastic Nonlinear Systems via Output Feedback

In this paper, an output feedback stabilization is considered for a class of stochastic nonlinear systems, whose nonlinear terms admit an incremental rate depending only on the measured output. First, a high-gain observer is designed with a gain coming from a Riccatti equation. Second, by the backst...

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Bibliographic Details
Published in:IEEE transactions on automatic control 2008-02, Vol.53 (1), p.360-367
Main Authors: Mu, Xiaowu, Liu, Haijun
Format: Article
Language:English
Subjects:
Asymptotic stability
Automatic control
Backstepping
Control
Control systems
Dynamical systems
Gain
Mathematical analysis
Nonlinear dynamics
Nonlinear equations
Nonlinear systems
observer
Output feedback
Robust stability
Stabilization
Stochastic processes
Stochastic systems
Stochasticity
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Summary:In this paper, an output feedback stabilization is considered for a class of stochastic nonlinear systems, whose nonlinear terms admit an incremental rate depending only on the measured output. First, a high-gain observer is designed with a gain coming from a Riccatti equation. Second, by the backstepping approach, an output feedback controller is obtained, which guarantees global stability in probability and regulation of the state of the plant to zero with probability one. Third, an example is delivered to illustrate the proposed technique.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2007.914228