Finite-Time Fuzzy Control of Stochastic Nonlinear Systems.

Clicks: 248
ID: 4482
2019
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Abstract
This paper studies the finite-time stabilization of a class of stochastic nonlinear systems. Different from functions which are necessarily known in the conventional finite-time control of nonlinear systems, the nonlinear functions can be completely unknown in this paper. By applying fuzzy-logic systems to approximate the unknown nonlinearities, a novel adaptive finite-time control strategy is proposed. However, due to the existence of approximation errors, the existing finite-time stability criterion cannot be used to analyze the stability of stochastic nonlinear systems. To deal with this difficulty, a finite-time stability criterion, by utilizing the mean value theorem of integrals, is first established in Lemma 5, which plays a significant role in the finite-time stability analysis of stochastic nonlinear systems. Then, the finite-time mean square stability of a stochastic nonlinear system is proved by combining Lemma 3 with Jensen's inequality.
Reference Key
wang2019finitetimeieee Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Wang, Fang;Chen, Bing;Sun, Yumei;Gao, Yanli;Lin, Chong;
Journal ieee transactions on cybernetics
Year 2019
DOI
10.1109/TCYB.2019.2925573
URL
Keywords Keywords not found

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