Passivity-based non-fragile control for Markovian jump systems with aperiodic sampling
Passivity-based non-fragile control for Markovian jump systems with aperiodic sampling
In this paper, the problem of non-fragile passive control for Markovian jump systems with aperiodic sampling is investigated. The considered controller is assumed to have either additive or multiplicative norm-bounded uncertainties. A time-dependent Lyapunov functional capturing the available information of the sampling pattern is constructed to derive a sufficient condition for non-fragile stochastic passivity of the resultant closed-loop system. Based on the condition, a mode-independent state feedback sampled-data controller is designed such that for all admissible uncertainties the closed-loop system is robustly stochastically passive. Two illustrative examples are included to demonstrate the effectiveness and merits of the proposed techniques.
non-fragile control, markovian jump systems, sampled-data control
35-43
Wu, Yuanqing
bacee2fa-d37c-4fee-b8db-c7f9ef6a9c96
Su, Hongye
49abac6c-096f-493e-b412-8948bbea3c30
Lu, Renquan
39a0cc23-d198-407d-8977-b440787536da
Wu, Zhengguang
22af5779-f570-4d71-9cfc-c6209356673f
Shu, Zhan
ea5dc18c-d375-4db0-bbcc-dd0229f3a1cb
October 2015
Wu, Yuanqing
bacee2fa-d37c-4fee-b8db-c7f9ef6a9c96
Su, Hongye
49abac6c-096f-493e-b412-8948bbea3c30
Lu, Renquan
39a0cc23-d198-407d-8977-b440787536da
Wu, Zhengguang
22af5779-f570-4d71-9cfc-c6209356673f
Shu, Zhan
ea5dc18c-d375-4db0-bbcc-dd0229f3a1cb
Wu, Yuanqing, Su, Hongye, Lu, Renquan, Wu, Zhengguang and Shu, Zhan
(2015)
Passivity-based non-fragile control for Markovian jump systems with aperiodic sampling.
Systems & Control Letters, 84, .
(doi:10.1016/j.sysconle.2015.08.001).
Abstract
In this paper, the problem of non-fragile passive control for Markovian jump systems with aperiodic sampling is investigated. The considered controller is assumed to have either additive or multiplicative norm-bounded uncertainties. A time-dependent Lyapunov functional capturing the available information of the sampling pattern is constructed to derive a sufficient condition for non-fragile stochastic passivity of the resultant closed-loop system. Based on the condition, a mode-independent state feedback sampled-data controller is designed such that for all admissible uncertainties the closed-loop system is robustly stochastically passive. Two illustrative examples are included to demonstrate the effectiveness and merits of the proposed techniques.
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Accepted/In Press date: 2 August 2015
e-pub ahead of print date: 24 August 2015
Published date: October 2015
Keywords:
non-fragile control, markovian jump systems, sampled-data control
Organisations:
Mechatronics
Identifiers
Local EPrints ID: 386108
URI: http://eprints.soton.ac.uk/id/eprint/386108
ISSN: 0167-6911
PURE UUID: 231e0ad9-6b07-44c1-be25-cbc64df786db
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Date deposited: 28 Jan 2016 12:44
Last modified: 14 Mar 2024 22:27
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Contributors
Author:
Yuanqing Wu
Author:
Hongye Su
Author:
Renquan Lu
Author:
Zhengguang Wu
Author:
Zhan Shu
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