Control of singular Markovian jump systems with time-delay

Qiulin YAN; Xiaojie SU; Yong-Duan SONG; Meiling CAO

doi:10.1109/ChiCC.2015.7259866

Control of singular Markovian jump systems with time-delay

Qiulin YAN
, Xiaojie SU
, Yong-Duan SONG
, Meiling CAO

Research output: Book Chapters | Papers in Conference Proceedings › Conference paper (refereed) › Research › peer-review

1 Citation (Scopus)

Abstract

This paper focuses on analysing a new model transformation for singular Markovian jump systems (MJS) with time-varying delay and applies it to stochastic stability analysis and state feedback controller design. Firstly, a comparison model is introduced by employing a two-term approximation of time-varying delays. Then, the parameter-dependent Lyapunov-Krasovskii function is constructed to analyse the stochastic stability of this comparison model, further more based on the scaled small gain theorem, the novel stability criteria with less conservativeness is proposed in terms of linear matrix inequalities. Finally, the desired state feedback controller can be obtained via the above proposed technique.

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	1555-1558
Number of pages	4
ISBN (Electronic)	9789881563897
DOIs	https://doi.org/10.1109/ChiCC.2015.7259866
Publication status	Published - Sept 2015
Externally published	Yes

Funding

This work was partially supported by the National Key Basic Research Program (973), China (2012CB215202), the National Natural Science Foundation of China (61403048 and 61134001), and the Fundamental Research Funds for the Central Universities (106112015CDJXY170001).

Keywords

Markovian Jump System
Model Transformation
Sigular System
Time-Varying Delay

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10.1109/ChiCC.2015.7259866

Cite this

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title = "Control of singular Markovian jump systems with time-delay",

abstract = "This paper focuses on analysing a new model transformation for singular Markovian jump systems (MJS) with time-varying delay and applies it to stochastic stability analysis and state feedback controller design. Firstly, a comparison model is introduced by employing a two-term approximation of time-varying delays. Then, the parameter-dependent Lyapunov-Krasovskii function is constructed to analyse the stochastic stability of this comparison model, further more based on the scaled small gain theorem, the novel stability criteria with less conservativeness is proposed in terms of linear matrix inequalities. Finally, the desired state feedback controller can be obtained via the above proposed technique.",

keywords = "Markovian Jump System, Model Transformation, Sigular System, Time-Varying Delay",

author = "Qiulin YAN and Xiaojie SU and Yong-Duan SONG and Meiling CAO",

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doi = "10.1109/ChiCC.2015.7259866",

language = "English",

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editor = "Qianchuan ZHAO and Shirong LIU",

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Control of singular Markovian jump systems with time-delay. / YAN, Qiulin; SU, Xiaojie; SONG, Yong-Duan et al.
Proceedings of the 34th Chinese Control Conference, CCC 2015. ed. / Qianchuan ZHAO; Shirong LIU. IEEE Computer Society, 2015. p. 1555-1558.

Research output: Book Chapters | Papers in Conference Proceedings › Conference paper (refereed) › Research › peer-review

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AB - This paper focuses on analysing a new model transformation for singular Markovian jump systems (MJS) with time-varying delay and applies it to stochastic stability analysis and state feedback controller design. Firstly, a comparison model is introduced by employing a two-term approximation of time-varying delays. Then, the parameter-dependent Lyapunov-Krasovskii function is constructed to analyse the stochastic stability of this comparison model, further more based on the scaled small gain theorem, the novel stability criteria with less conservativeness is proposed in terms of linear matrix inequalities. Finally, the desired state feedback controller can be obtained via the above proposed technique.

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KW - Model Transformation

KW - Sigular System

KW - Time-Varying Delay

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BT - Proceedings of the 34th Chinese Control Conference, CCC 2015

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ER -

Control of singular Markovian jump systems with time-delay

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