Dissipative Control for Fuzzy Singular Markov Jump Systems With State-Dependent Noise and Asynchronous Modes
In this paper, the issue of dissipative control for a class of discrete-time T-S fuzzy singular Markov jump systems with state-dependent noise and asynchronous modes is investigated. The hidden Markov model (HMM) is introduced to observe the asynchronous phenomenon between the original system modes...
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doaj-f7e272dabad446c88ce416dd53d779792021-03-30T15:26:03ZengIEEEIEEE Access2169-35362021-01-019256912570210.1109/ACCESS.2021.30578519350267Dissipative Control for Fuzzy Singular Markov Jump Systems With State-Dependent Noise and Asynchronous ModesBingyu Wu0Yong Zhao1https://orcid.org/0000-0002-6823-0545College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, ChinaCollege of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, ChinaIn this paper, the issue of dissipative control for a class of discrete-time T-S fuzzy singular Markov jump systems with state-dependent noise and asynchronous modes is investigated. The hidden Markov model (HMM) is introduced to observe the asynchronous phenomenon between the original system modes and the controller modes. Sufficient conditions are established in the form of strict LMIs to guarantee that the closed-loop system is stochastically admissible and strictly $(Q, S, R)-\beta $ dissipative. An asynchronous output feedback controller is successfully proposed, which is more general than synchronous and mode-independent ones. Finally, the effectiveness and validity of the obtained results are illustrated by a numerical example.https://ieeexplore.ieee.org/document/9350267/Singular Markov jump systemsasynchronous dissipative controlhidden Markov modellinear matrix inequalities (LMIs)Takagi-Sugeno (T-S) fuzzy model |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Bingyu Wu Yong Zhao |
spellingShingle |
Bingyu Wu Yong Zhao Dissipative Control for Fuzzy Singular Markov Jump Systems With State-Dependent Noise and Asynchronous Modes IEEE Access Singular Markov jump systems asynchronous dissipative control hidden Markov model linear matrix inequalities (LMIs) Takagi-Sugeno (T-S) fuzzy model |
author_facet |
Bingyu Wu Yong Zhao |
author_sort |
Bingyu Wu |
title |
Dissipative Control for Fuzzy Singular Markov Jump Systems With State-Dependent Noise and Asynchronous Modes |
title_short |
Dissipative Control for Fuzzy Singular Markov Jump Systems With State-Dependent Noise and Asynchronous Modes |
title_full |
Dissipative Control for Fuzzy Singular Markov Jump Systems With State-Dependent Noise and Asynchronous Modes |
title_fullStr |
Dissipative Control for Fuzzy Singular Markov Jump Systems With State-Dependent Noise and Asynchronous Modes |
title_full_unstemmed |
Dissipative Control for Fuzzy Singular Markov Jump Systems With State-Dependent Noise and Asynchronous Modes |
title_sort |
dissipative control for fuzzy singular markov jump systems with state-dependent noise and asynchronous modes |
publisher |
IEEE |
series |
IEEE Access |
issn |
2169-3536 |
publishDate |
2021-01-01 |
description |
In this paper, the issue of dissipative control for a class of discrete-time T-S fuzzy singular Markov jump systems with state-dependent noise and asynchronous modes is investigated. The hidden Markov model (HMM) is introduced to observe the asynchronous phenomenon between the original system modes and the controller modes. Sufficient conditions are established in the form of strict LMIs to guarantee that the closed-loop system is stochastically admissible and strictly $(Q, S, R)-\beta $ dissipative. An asynchronous output feedback controller is successfully proposed, which is more general than synchronous and mode-independent ones. Finally, the effectiveness and validity of the obtained results are illustrated by a numerical example. |
topic |
Singular Markov jump systems asynchronous dissipative control hidden Markov model linear matrix inequalities (LMIs) Takagi-Sugeno (T-S) fuzzy model |
url |
https://ieeexplore.ieee.org/document/9350267/ |
work_keys_str_mv |
AT bingyuwu dissipativecontrolforfuzzysingularmarkovjumpsystemswithstatedependentnoiseandasynchronousmodes AT yongzhao dissipativecontrolforfuzzysingularmarkovjumpsystemswithstatedependentnoiseandasynchronousmodes |
_version_ |
1724179479055564800 |