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Title: Robust sliding mode design for uncertain stochastic systems based on H∞ control method
Authors: Niu, Y
Wang, Z
Wang, X
Keywords: Stochastic systems
Parameter uncertainties
External disturbance
Sliding mode control
H∞ control
Publication Date: 2010
Publisher: Wiley-Blackwell
Citation: Optimal Control Applications and Methods, 31(2): 93-104, Mar 2010
Abstract: 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 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.
Description: The official published version can be found at the link below.
Sponsorship: This work was funded by The Royal Society of the U.K.;NNSF of China. Grant Numbers: 60674015, 60674089;The Technology Innovation Key Foundation of Shanghai Municipal Education Commission. Grant Number: 09ZZ60;Shanghai Leading Academic Discipline Project. Grant Number: B504
ISSN: 0143-2087
Appears in Collections:Computer Science
Dept of Computer Science Research Papers

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