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https://hdl.handle.net/2440/130356
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Type: | Journal article |
Title: | Model reduction of Markovian jump systems with uncertain probabilities |
Author: | Shen, Y. Wu, Z.G. Shi, P. Ahn, C.K. |
Citation: | IEEE Transactions on Automatic Control, 2020; 65(1):382-388 |
Publisher: | IEEE |
Issue Date: | 2020 |
ISSN: | 0018-9286 1558-2523 |
Statement of Responsibility: | Ying Shen, Zheng-Guang Wu, Peng Shi and Choon Ki Ahn |
Abstract: | This paper studies the problem of model reduction for nonhomogeneous Markovian jump systems. The transition probability matrix of the nonhomogeneous Markovian chain has the characteristic of a polytopic structure. An asynchronous reduced-order model is considered, and the asynchronization is modeled by a hidden Markov model with a partially unknown conditional probability matrix. Under this framework, a new sufficient condition is proposed to ensure that the augmented system is stochastically mean-square stable with a specified level of H∞ performance. Finally, a numerical example is provided to show the effectiveness and advantages of the theoretic results obtained. |
Keywords: | Asynchronization; hidden Markov model; model reduction; nonhomogeneous Markovian chain; partially unknown conditional probabilities |
Rights: | © 2019 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.2019.2915827 |
Grant ID: | http://purl.org/au-research/grants/arc/DP170102644 |
Published version: | http://dx.doi.org/10.1109/tac.2019.2915827 |
Appears in Collections: | Aurora harvest 8 Electrical and Electronic Engineering publications |
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