Finite-Time Stabilization of Stochastic High-Order Nonlinear Systems

Finite-Time Stabilization of Stochastic High-Order Nonlinear Systems

This paper considers the problem of global finite‐time stabilization in probability for stochastic high‐order nonlinear systems in which the power order is greater than or equal to one and the drift and diffusion terms satisfy weaker growth conditions. Based on stochastic Lyapunov theorem on finite‐...

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Veröffentlicht in:Asian journal of control 2016-11, Vol.18 (6), p.2244-2255
Hauptverfasser: Zhang, Xing-Hui, Zhang, Kemei, Xie, Xue-Jun
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Sprache:eng
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Feedback control systems
finite-time stabilization in probability
Nonlinear systems
state feedback control
Stochastic high-order nonlinear systems
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Zhang, Kemei
Xie, Xue-Jun
description This paper considers the problem of global finite‐time stabilization in probability for stochastic high‐order nonlinear systems in which the power order is greater than or equal to one and the drift and diffusion terms satisfy weaker growth conditions. Based on stochastic Lyapunov theorem on finite‐time stability, via the combined adding one power integrator and sign function method, constructing a C2 Lyapunov function and verifying the existence and uniqueness of solution, a continuous state feedback controller is designed to guarantee the closed‐loop system globally finite‐time stable in probability.
doi_str_mv 10.1002/asjc.1312
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source Wiley Online Library - AutoHoldings Journals
subjects Feedback control systems
finite-time stabilization in probability
Nonlinear systems
state feedback control
Stochastic high-order nonlinear systems
title Finite-Time Stabilization of Stochastic High-Order Nonlinear Systems
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