H-infinity tracking of uncertain stochastic time-delay systems: Memory state-feedback controller design

Title
H-infinity tracking of uncertain stochastic time-delay systems: Memory state-feedback controller design
Author(s)
박주현J. Xia[J. Xia]이태희B. Zhang[B. Zhang]
Keywords
DEPENDENT STABILITY-CRITERIA; SLIDING MODE CONTROL; MARKOV JUMP SYSTEMS; VARYING DELAY; ROBUST STABILITY; FILTER DESIGN; DISCRETE; INTERVAL
Issue Date
201412
Publisher
ELSEVIER SCIENCE INC
Citation
APPLIED MATHEMATICS AND COMPUTATION, v.249, pp.356 - 370
Abstract
The problem of state robust H-infinity tracking control for uncertain stochastic systems with interval time-varying delay is considered in this paper. The target is to design a memory state feedback controller such that the resulting closed-loop augmented system is robustly stochastically asymptotically stable and the states of original systems can follow the reference signal with given H-infinity performance. Firstly, by constructing delay-partitioning-dependent Lyapunov-Krasovskii functional with reciprocally convex approach, a delay-dependent condition guaranteeing the robust H-infinity tracking performance is proposed in a set of matrix inequalities. Secondly, new stability criteria for stochastic systems with time-varying delay are given with less conservativeness than some recent results. Thirdly, memory state feedback controller is designed via a set of linear matrix inequalities (LMIs) which can be solved by Matlab LMI toolbox. At last, numerical simulations are addressed to show the effectiveness of the proposed methods. (C) 2014 Elsevier Inc. All rights reserved.
URI
http://hdl.handle.net/YU.REPOSITORY/30354http://dx.doi.org/10.1016/j.amc.2014.10.029
ISSN
0096-3003
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공과대학 > 전기공학과 > Articles
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