Abstract
A robust delay-dependent stability criterion for discrete-time uncertain stochastic systems is proposed to achieve asymptotical stability and H∞ performance in this paper. Based on modeling approaches, Linear Parameter Varying (LPV) system with multiplicative noise term is built to represent uncertain stochastic systems. Moreover, state and input delays are considered as two individual time-varying interval cases for general effect. Employing a novel Lyapunov-Krasovskii function, Jensen inequality and transform technology, some relaxed sufficient conditions are derived into Linear Matrix Inequality (LMI) forms to apply convex optimization algorithm. Through solving the derived conditions, Gain-Scheduled (GS) controller can be designed such that robust asymptotical stability and H∞ performance of closed-loop system are achieved in the mean square. At last, two numerical examples are provided to demonstrate applicability and effectiveness of this paper.
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Recommended by Associate Editor Hongyi Li under the direction of Editor Myo Taeg Lim.
Cheung-Chieh Ku received the B.S. and M.S. degrees from the Department of Marine Engineering of the National Taiwan Ocean University, Taiwan, R.O.C., in 2001 and 2006, respectively. He received the Ph.D. degree from the electrical engineering of the National Taiwan Ocean University, Taiwan R.O.C., in 2010. Since 2012, he has been with National Taiwan Ocean University, Keelung, Taiwan, R.O.C.. He is currently an Assistant Professor of the Department of Marine Engineering of National Taiwan Ocean University. The Marine Engineering is his major course and the Electronic Engineering is his minor one. His research interests focus on LPV system, mixed performance control, fuzzy control, stochastic systems and passivity theory.include nonlinear control, adaptive control, and system identification
Guan-Wei Chen received the B.S. degree inMarine Engineering from Taiwan Ocean University in 2013. He is currently pursuing an M.S. in Marine Engineering from Taiwan Ocean University. His research interests include linear control, robust control, and system identification.
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Ku, CC., Chen, GW. Robust H∞ Control of Uncertain Stochastic Systems with Time-varying Interval Delays. Int. J. Control Autom. Syst. 16, 243–255 (2018). https://doi.org/10.1007/s12555-017-0032-3
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DOI: https://doi.org/10.1007/s12555-017-0032-3