Please use this identifier to cite or link to this item: https://doi.org/10.1080/00207170701235766
Title: Robust output feedback H∞ control of uncertain Markovian jump systems with mode-dependent time-delays
Authors: Kang, Y.
Zhang, J.F.
Ge, S.S. 
Issue Date: Jan-2008
Citation: Kang, Y., Zhang, J.F., Ge, S.S. (2008-01). Robust output feedback H∞ control of uncertain Markovian jump systems with mode-dependent time-delays. International Journal of Control 81 (1) : 43-61. ScholarBank@NUS Repository. https://doi.org/10.1080/00207170701235766
Abstract: This paper describes the synthesis of robust output feedback H ∞ control for a class of uncertain Markovian jump linear systems with time-delays which are time-varying and depend on the system modes of operation. Under the assumption of known bounds of system uncertainties and the control system gain variations, we present sufficient conditions on the existence of robust stochastic stability and -disturbance H∞ attenuation. Through the changes of variables and Schur complements, these sufficient conditions can be rewritten in a set of coupled linear matrix inequalities, with which, robust control can be easily constructed. As an added advantage, the control design depends only on [image omitted], the measured parameter of Markovian jumping at time t, which might be corrupted by measurement noises. Numerical examples are provided to demonstrate the effectiveness of the proposed approach.
Source Title: International Journal of Control
URI: http://scholarbank.nus.edu.sg/handle/10635/82990
ISSN: 00207179
DOI: 10.1080/00207170701235766
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