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Robust sliding mode design for uncertain stochastic systems based on H ∞ control method
Author(s) -
Niu Yugang,
Wang Zidong,
Wang Xingyu
Publication year - 2009
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/oca.886
Subject(s) - reachability , control theory (sociology) , sliding mode control , robust control , controller (irrigation) , attenuation , stability (learning theory) , mode (computer interface) , computer science , linear matrix inequality , mathematics , mathematical optimization , control (management) , control system , engineering , nonlinear system , algorithm , physics , machine learning , electrical engineering , biology , operating system , agronomy , optics , quantum mechanics , artificial intelligence
In this paper, the design problem of sliding mode control (SMC) is addressed for uncertain stochastic systems modeled by Itô differential equations. There exist the parameter uncertainties in both the state and input matrices, as well as the unmatched external disturbance. The key feature of this work is the integration of SMC method with H ∞ technique such that the robust stochastic stability with a prescribed disturbance attenuation level γ can be achieved. A sufficient condition for the existence of the desired sliding mode controller is obtained via linear matrix inequalities. The reachability of the specified sliding surface is proven. Finally, a numerical simulation example is presented to illustrate the proposed method. Copyright © 2009 John Wiley & Sons, Ltd.