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https://hdl.handle.net/2440/118292
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Type: | Journal article |
Title: | H∞ control for 2-D Markov jump systems in Roesser model |
Other Titles: | H-infinity control for 2-D Markov jump systems in Roesser model |
Author: | Wu, Z. Shen, Y. Shi, P. Shu, Z. Su, H. |
Citation: | IEEE Transactions on Automatic Control, 2019; 64(1):427-432 |
Publisher: | IEEE |
Issue Date: | 2019 |
ISSN: | 0018-9286 1558-2523 |
Statement of Responsibility: | Zheng-Guang Wu , Ying Shen , Peng Shi , Zhan Shu , and Hongye Su |
Abstract: | This paper considers the problem of asynchronous H∞ control for two-dimensional (2-D) Markov jump systems. The underlying system is described based upon the Roesser model. Especially, the hidden Markov model is employed when dealing with the asynchronization between a controlled system and a controller, and the relation between them is constructed through a conditional probability matrix. Based on the Lyapunov function technique, the asymptotic mean square stability and H∞ noise attenuation performance are investigated for the closed-loop 2-D system. Moreover, the controller gain can be obtained by solving a convex optimization problem. An example is presented to show the effectiveness and potential of the proposed new design technique. |
Keywords: | H∞ control; hidden Markov model; Markov jump systems (MJSs); two-dimensional (2-D) system |
Rights: | © 2018 IEEE. Personal use is permitted, but republication/redistribution requires IEEE permission. See http://www.ieee.org/publications standards/publications/rights/index.html for more information. |
DOI: | 10.1109/TAC.2018.2831176 |
Grant ID: | http://purl.org/au-research/grants/arc/DP170102644 |
Published version: | http://dx.doi.org/10.1109/tac.2018.2831176 |
Appears in Collections: | Aurora harvest 8 Electrical and Electronic Engineering publications |
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