H∞ stabilization for networked semi‐Markovian jump systems with randomly occurring uncertainties via improved dynamic event‐triggered scheme
Summary This paper aims to solve the H∞ stabilization problem for networked semi‐Markovian jump systems subject to randomly occurring uncertainties by an improved event‐triggered technique. A new measurement error that is defined as the difference value between the latest transmitted data and the me...
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| Published in | International journal of robust and nonlinear control Vol. 29; no. 13; pp. 4609 - 4626 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Bognor Regis
Wiley Subscription Services, Inc
10.09.2019
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| Subjects | |
| Online Access | Get full text |
| ISSN | 1049-8923 1099-1239 |
| DOI | 10.1002/rnc.4641 |
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| Abstract | Summary
This paper aims to solve the H∞ stabilization problem for networked semi‐Markovian jump systems subject to randomly occurring uncertainties by an improved event‐triggered technique. A new measurement error that is defined as the difference value between the latest transmitted data and the mean value of both current data and latest transmitted data is introduced into the event‐triggered condition. Compared with traditional dynamic event‐triggered scheme, more unexpected data could be avoided to be transmitted, which is demonstrated in the simulation through sufficient comparison experiments. Furthermore, by employing a Lyapunov‐Krasovskii functional method and a free‐weighting matrix method, sufficient conditions are derived to guarantee the stabilization of the closed‐loop semi‐Markovian jump time‐delay system with uncertainties and a prescribed performance index. Then, a codesign method for H∞ controller gains and event‐triggered parameters is presented. Finally, simulations are given to verify the effectiveness of our improved dynamic event‐triggered scheme. |
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| AbstractList | This paper aims to solve the H∞ stabilization problem for networked semi‐Markovian jump systems subject to randomly occurring uncertainties by an improved event‐triggered technique. A new measurement error that is defined as the difference value between the latest transmitted data and the mean value of both current data and latest transmitted data is introduced into the event‐triggered condition. Compared with traditional dynamic event‐triggered scheme, more unexpected data could be avoided to be transmitted, which is demonstrated in the simulation through sufficient comparison experiments. Furthermore, by employing a Lyapunov‐Krasovskii functional method and a free‐weighting matrix method, sufficient conditions are derived to guarantee the stabilization of the closed‐loop semi‐Markovian jump time‐delay system with uncertainties and a prescribed performance index. Then, a codesign method for H∞ controller gains and event‐triggered parameters is presented. Finally, simulations are given to verify the effectiveness of our improved dynamic event‐triggered scheme. Summary This paper aims to solve the H∞ stabilization problem for networked semi‐Markovian jump systems subject to randomly occurring uncertainties by an improved event‐triggered technique. A new measurement error that is defined as the difference value between the latest transmitted data and the mean value of both current data and latest transmitted data is introduced into the event‐triggered condition. Compared with traditional dynamic event‐triggered scheme, more unexpected data could be avoided to be transmitted, which is demonstrated in the simulation through sufficient comparison experiments. Furthermore, by employing a Lyapunov‐Krasovskii functional method and a free‐weighting matrix method, sufficient conditions are derived to guarantee the stabilization of the closed‐loop semi‐Markovian jump time‐delay system with uncertainties and a prescribed performance index. Then, a codesign method for H∞ controller gains and event‐triggered parameters is presented. Finally, simulations are given to verify the effectiveness of our improved dynamic event‐triggered scheme. This paper aims to solve the H ∞ stabilization problem for networked semi‐Markovian jump systems subject to randomly occurring uncertainties by an improved event‐triggered technique. A new measurement error that is defined as the difference value between the latest transmitted data and the mean value of both current data and latest transmitted data is introduced into the event‐triggered condition. Compared with traditional dynamic event‐triggered scheme, more unexpected data could be avoided to be transmitted, which is demonstrated in the simulation through sufficient comparison experiments. Furthermore, by employing a Lyapunov‐Krasovskii functional method and a free‐weighting matrix method, sufficient conditions are derived to guarantee the stabilization of the closed‐loop semi‐Markovian jump time‐delay system with uncertainties and a prescribed performance index. Then, a codesign method for H ∞ controller gains and event‐triggered parameters is presented. Finally, simulations are given to verify the effectiveness of our improved dynamic event‐triggered scheme. |
| Author | Wu, Xihui Mu, Xiaowu |
| Author_xml | – sequence: 1 givenname: Xihui surname: Wu fullname: Wu, Xihui organization: Zhengzhou University – sequence: 2 givenname: Xiaowu orcidid: 0000-0002-5367-3466 surname: Mu fullname: Mu, Xiaowu email: muxiaowu@zzu.edu.cn organization: Zhengzhou University |
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| Cites_doi | 10.1109/TAC.2012.2206694 10.1002/rnc.3273 10.1016/j.isatra.2018.09.006 10.1080/00207179.2012.720034 10.1049/iet-cta.2016.1465 10.1016/j.nahs.2018.03.002 10.1002/rnc.3255 10.1016/j.automatica.2017.03.032 10.1109/TCSI.2007.904640 10.1002/rnc.4380 10.1049/iet-cta.2018.5188 10.1002/rnc.3057 10.1016/j.ins.2017.09.005 10.1109/TIE.2011.2168791 10.1002/rnc.2862 10.1109/TWC.2012.050112.102085 10.1016/j.neunet.2018.05.007 10.1016/j.nahs.2018.08.007 10.1016/j.matcom.2017.11.001 10.1016/j.cnsns.2014.12.004 10.1109/TAC.2008.2008319 10.1016/j.jfranklin.2016.02.016 10.1109/TAC.2013.2256015 10.1016/j.nahs.2017.10.010 10.1109/CDC.2011.6161313 10.1109/TAC.2007.904277 10.1016/j.ins.2018.04.054 10.1109/TFUZZ.2016.2633325 |
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This paper aims to solve the H∞ stabilization problem for networked semi‐Markovian jump systems subject to randomly occurring uncertainties by an... This paper aims to solve the H ∞ stabilization problem for networked semi‐Markovian jump systems subject to randomly occurring uncertainties by an improved... This paper aims to solve the H∞ stabilization problem for networked semi‐Markovian jump systems subject to randomly occurring uncertainties by an improved... |
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| SubjectTerms | Co-design Error analysis H-infinity control H∞ control improved event‐triggered scheme Markov processes networked semi‐Markov jump systems network‐induced delay Performance indices randomly occurring uncertainties Stabilization Time delay systems Uncertainty |
| Title | H∞ stabilization for networked semi‐Markovian jump systems with randomly occurring uncertainties via improved dynamic event‐triggered scheme |
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