H∞ control of Markov jump time-delay systems under asynchronous controller and quantizer
Date
2019
Authors
Shen, Y.
Wu, Z.G.
Shi, P.
Shu, Z.
Karimi, H.R.
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Journal article
Citation
Automatica, 2019; 99:352-360
Statement of Responsibility
Ying Shen, Zheng-Guang Wu, Peng Shi, Zhan Shu, Hamid Reza Karimi
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Abstract
This paper aims to design an asynchronous state feedback controller for Markov jump time-delay systems. The highlight of this work lies in that the state feedback is quantized by a logarithmic quantizer, and both the controller and quantizer are asynchronous with the controlled systems. By Lyapunov– Krasovskii functional, a sufficient condition is presented to ensure that the resulting closed-loop system is stochastically mean square stable with a prescribed H∞ performance index. Finally, an example is presented to illustrate the effectiveness and new features of proposed design method.
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© 2018 Elsevier Ltd. All rights reserved.