Abstract
The optimal L2-L∞ control problem of a class of uncertain stochastic systems with Wiener process disturbances is studied. Based on the robust L2-L∞ control theory, it gives a sufficient condition to solve the resilient controller such that the stochastic system is stochastically stabilizable and satisfies the given L2-L∞ control performance index. By constructing an appropriate Lyapunov-Krasovskii functional and applying linear matrix inequalities techniques, the L2-L∞ controller design problem is derived and then described as an optimization one. Simulation results are given to demonstrate the validity of the proposed approach.
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Notes on contributors
Feng Xue
Feng Xue received the MS degree in electronic information from Anhui University School, Hefei, China in 2008. He is currently the associate professor with the School of Electronic and Electrical Engineering, Anhui Sanlian University, Hefei, China. His research interests are mainly in the signal and information processing. Tel/fax: +8655163830796 Email: [email protected].
Hong-hai Wang
Honghai Wang received the MS degree in computer application technology from Anhui University, Hefei, China. He is currently the professor with the School of Electronic and Electrical Engineering, Anhui Sanlian University, Hefei, China. His current research interests include database and data mining and signal processing. Tel/fax: +8655163830766 Email: [email protected].
De-xiang Zhang
Dexiang Zhang received the MS degree in pattern recognition and PhD degree in computer science from Anhui University, Hefei, China, in 2006 and 2011, respectively. He is currently the professor with the School of Electronic and Electrical Engineering, Anhui University, Hefei, China. His research interests are primarily in the area of image processing, digital signal processing and speech signal processing. Tel/fax: +8655163861943 Corresponding author. Email: [email protected].