NDLI: Nonsmooth adaptive control design for uncertain stochastic nonlinear systems

Content Provider	IEEE Xplore Digital Library
Author	Jian Zhang Yungang Liu
Copyright Year	2012
Description	Author affiliation: School of Control Science and Engineering, Shandong University, Jinan, 250061, China (Jian Zhang; Yungang Liu)
Abstract	This paper investigates the problem of the global stabilization via state feedback and adaptive technique for a class of high-order stochastic nonlinear systems with more uncertainties/unknowns. First of all, two stochastic stability concepts are slightly extended to allow the systems with more than one solution. To solve the stabilization problem, a lot of substantial technical obstacles should be overcome since the presence of severe uncertainties/unknowns and stochastic noise. By introducing the appropriate control Lyapunov function and suitable adaptive updated law for an unknown design parameter, and using the method of adding a power integrator, an adaptive continuous (nonsmooth) state feedback controller without overparameterization is successfully designed, which guarantees that the closed-loop states are bounded and the original system states eventually converge to zero, both with probability one.
Starting Page	1779
Ending Page	1784
File Size	166983
Page Count	6
File Format	PDF
ISBN	9781467313971
e-ISBN	9781467313988
DOI	10.1109/WCICA.2012.6358165
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2012-07-06
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Nonlinear systems Control design State feedback Lyapunov methods Adaptive control Vectors adding a power integrator Stochastic nonlinear systems uncertain control coefficients nonsmooth adaptive stabilization
Content Type	Text
Resource Type	Article

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