L2-l∞ Filtering for 2-D Markov jump systems in FM model under asynchronous switching

Xinwei Wang; Ying Zhang; Rui Zhang

doi:10.1109/ChiCC.2015.7259894

L₂-l_∞ Filtering for 2-D Markov jump systems in FM model under asynchronous switching

Xinwei Wang
, Ying Zhang
, Rui Zhang

Shenzhen Institute of Information Technology
Harbin Institute of Technology Shenzhen
Shenzhen Institute of Advanced Technology
University of Western Australia

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

This paper is devoted to the design of l₂-l_∞ filters for a class of 2-D Markov jump systems under asynchronous switching. The asynchronous behavior is considered to be random mismatch between system modes and candidate filters. The mismatch character is described by a suitable stochastic variable satisfying the Bernoulli random binary distribution law. A stochastic parameter-dependent approach is developed to solve the addressed filtering problem. The resulting asynchronous filters can ensure that, for any admissible random mismatch, the filtering error system is stochastically stable and has a prescribed l₂-l_∞ performance index. Connection with the classical mode-dependent and mode-independent filtering on the l₂-l_∞ performance is thoroughly discussed. A numerical example is provided to show the validity and potential of the results derived.

Original language	English
Title of host publication	Proceedings of the 34th Chinese Control Conference, CCC 2015
Editors	Qianchuan Zhao, Shirong Liu
Publisher	IEEE Computer Society
Pages	1710-1715
Number of pages	6
ISBN (Electronic)	9789881563897
DOIs	https://doi.org/10.1109/ChiCC.2015.7259894
State	Published - 11 Sep 2015
Externally published	Yes
Event	34th Chinese Control Conference, CCC 2015 - Hangzhou, China Duration: 28 Jul 2015 → 30 Jul 2015

Publication series

Name	Chinese Control Conference, CCC
Volume	2015-September
ISSN (Print)	1934-1768
ISSN (Electronic)	2161-2927

Conference

Conference	34th Chinese Control Conference, CCC 2015
Country/Territory	China
City	Hangzhou
Period	28/07/15 → 30/07/15

Keywords

2-D FM systems
Markov jump systems
l-l filtering

Access to Document

10.1109/ChiCC.2015.7259894

Cite this

Wang, X., Zhang, Y., & Zhang, R. (2015). L₂-l_∞ Filtering for 2-D Markov jump systems in FM model under asynchronous switching. In Q. Zhao, & S. Liu (Eds.), Proceedings of the 34th Chinese Control Conference, CCC 2015 (pp. 1710-1715). Article 7259894 (Chinese Control Conference, CCC; Vol. 2015-September). IEEE Computer Society. https://doi.org/10.1109/ChiCC.2015.7259894

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title = "L2-l∞ Filtering for 2-D Markov jump systems in FM model under asynchronous switching",

abstract = "This paper is devoted to the design of l2-l∞ filters for a class of 2-D Markov jump systems under asynchronous switching. The asynchronous behavior is considered to be random mismatch between system modes and candidate filters. The mismatch character is described by a suitable stochastic variable satisfying the Bernoulli random binary distribution law. A stochastic parameter-dependent approach is developed to solve the addressed filtering problem. The resulting asynchronous filters can ensure that, for any admissible random mismatch, the filtering error system is stochastically stable and has a prescribed l2-l∞ performance index. Connection with the classical mode-dependent and mode-independent filtering on the l2-l∞ performance is thoroughly discussed. A numerical example is provided to show the validity and potential of the results derived.",

keywords = "2-D FM systems, Markov jump systems, l-l filtering",

author = "Xinwei Wang and Ying Zhang and Rui Zhang",

note = "Publisher Copyright: {\textcopyright} 2015 Technical Committee on Control Theory, Chinese Association of Automation.; 34th Chinese Control Conference, CCC 2015 ; Conference date: 28-07-2015 Through 30-07-2015",

year = "2015",

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doi = "10.1109/ChiCC.2015.7259894",

language = "英语",

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Wang, X, Zhang, Y & Zhang, R 2015, L₂-l_∞ Filtering for 2-D Markov jump systems in FM model under asynchronous switching. in Q Zhao & S Liu (eds), Proceedings of the 34th Chinese Control Conference, CCC 2015., 7259894, Chinese Control Conference, CCC, vol. 2015-September, IEEE Computer Society, pp. 1710-1715, 34th Chinese Control Conference, CCC 2015, Hangzhou, China, 28/07/15. https://doi.org/10.1109/ChiCC.2015.7259894

L₂-l_∞ Filtering for 2-D Markov jump systems in FM model under asynchronous switching. / Wang, Xinwei; Zhang, Ying; Zhang, Rui.
Proceedings of the 34th Chinese Control Conference, CCC 2015. ed. / Qianchuan Zhao; Shirong Liu. IEEE Computer Society, 2015. p. 1710-1715 7259894 (Chinese Control Conference, CCC; Vol. 2015-September).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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N2 - This paper is devoted to the design of l2-l∞ filters for a class of 2-D Markov jump systems under asynchronous switching. The asynchronous behavior is considered to be random mismatch between system modes and candidate filters. The mismatch character is described by a suitable stochastic variable satisfying the Bernoulli random binary distribution law. A stochastic parameter-dependent approach is developed to solve the addressed filtering problem. The resulting asynchronous filters can ensure that, for any admissible random mismatch, the filtering error system is stochastically stable and has a prescribed l2-l∞ performance index. Connection with the classical mode-dependent and mode-independent filtering on the l2-l∞ performance is thoroughly discussed. A numerical example is provided to show the validity and potential of the results derived.

AB - This paper is devoted to the design of l2-l∞ filters for a class of 2-D Markov jump systems under asynchronous switching. The asynchronous behavior is considered to be random mismatch between system modes and candidate filters. The mismatch character is described by a suitable stochastic variable satisfying the Bernoulli random binary distribution law. A stochastic parameter-dependent approach is developed to solve the addressed filtering problem. The resulting asynchronous filters can ensure that, for any admissible random mismatch, the filtering error system is stochastically stable and has a prescribed l2-l∞ performance index. Connection with the classical mode-dependent and mode-independent filtering on the l2-l∞ performance is thoroughly discussed. A numerical example is provided to show the validity and potential of the results derived.

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