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Title: Robust H-infinity sliding mode control for nonlinear stochastic systems with multiple data packet losses
Authors: Ma, L
Wang, Z
Bo, Y
Guo, Z
Keywords: Discrete-time systems;Nonlinear systems;Multiple data packet losses;Discrete-time sliding mode control;Robust control
Issue Date: 2012
Publisher: John Wiley & Sons
Citation: International Journal of Robust and Nonlinear Control, 22(5): 473 - 491, Mar 2012
Abstract: In this paper, an ∞ sliding mode control (SMC) problem is studied for a class of discrete-time nonlinear stochastic systems with multiple data packet losses. The phenomenon of data packet losses, which is assumed to occur in a random way, is taken into consideration in the process of data transmission through both the state-feedback loop and the measurement output. The probability for the data packet loss for each individual state variable is governed by a corresponding individual random variable satisfying a certain probabilistic distribution over the interval [0 1]. The discrete-time system considered is also subject to norm-bounded parameter uncertainties and external nonlinear disturbances, which enter the system state equation in both matched and unmatched ways. A novel stochastic discrete-time switching function is proposed to facilitate the sliding mode controller design. Sufficient conditions are derived by means of the linear matrix inequality (LMI) approach. It is shown that the system dynamics in the specified sliding surface is exponentially stable in the mean square with a prescribed ∞ noise attenuation level if an LMI with an equality constraint is feasible. A discrete-time SMC controller is designed capable of guaranteeing the discrete-time sliding mode reaching condition of the specified sliding surface with probability 1. Finally, a simulation example is given to show the effectiveness of the proposed method.
Description: This is the post-print version of this Article. The official published version can be accessed from the link below - Copyright @ 2012 John Wiley & Sons
ISSN: 1049-8923
Appears in Collections:Publications
Computer Science
Dept of Computer Science Research Papers

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