Robust finite-time dissipative control subject to randomly occurring uncertainties and stochastic fading measurements
This study considers the finite-time dissipative control problem for a class of discrete stochastic systems under the circumstance of wireless communication networks, in which both randomly occurring uncertainties and stochastic fading measurements are involved. A modified stochastic Rice fading mod...
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| Published in | Journal of the Franklin Institute Vol. 354; no. 9; pp. 3706 - 3723 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
Elmsford
Elsevier Ltd
01.06.2017
Elsevier Science Ltd |
| Subjects | |
| Online Access | Get full text |
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| Abstract | This study considers the finite-time dissipative control problem for a class of discrete stochastic systems under the circumstance of wireless communication networks, in which both randomly occurring uncertainties and stochastic fading measurements are involved. A modified stochastic Rice fading model with disturbance-dependent Gaussian noise is put forward to better reflect the fading phenomena in complex wireless communication networks. By introducing a novel concept of finite-time stochastic exponential dissipative, this work designs a state-feedback controller such that the closed-loop system is finite-time stochastic bounded with a prescribed exponential dissipativity performance. Moreover, some parameters-dependent sufficient conditions on the existence of the finite-time dissipative controller are derived and the corresponding computation algorithm is given. A numerical example is finally provided to illustrate the effectiveness of the proposed design approach. |
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| AbstractList | This study considers the finite-time dissipative control problem for a class of discrete stochastic systems under the circumstance of wireless communication networks, in which both randomly occurring uncertainties and stochastic fading measurements are involved. A modified stochastic Rice fading model with disturbance-dependent Gaussian noise is put forward to better reflect the fading phenomena in complex wireless communication networks. By introducing a novel concept of finite-time stochastic exponential dissipative, this work designs a state-feedback controller such that the closed-loop system is finite-time stochastic bounded with a prescribed exponential dissipativity performance. Moreover, some parameters-dependent sufficient conditions on the existence of the finite-time dissipative controller are derived and the corresponding computation algorithm is given. A numerical example is finally provided to illustrate the effectiveness of the proposed design approach. |
| Author | Song, Jun Wang, Shaobo Niu, Yugang |
| Author_xml | – sequence: 1 givenname: Jun orcidid: 0000-0003-4718-9835 surname: Song fullname: Song, Jun email: jun_song@mail.ecust.edu.cn organization: Key Laboratory of Advanced Control and Optimization for Chemical Process (East China University of Science and Technology), Ministry of Education, Shanghai 200237, China – sequence: 2 givenname: Yugang surname: Niu fullname: Niu, Yugang email: acniuyg@ecust.edu.cn organization: Key Laboratory of Advanced Control and Optimization for Chemical Process (East China University of Science and Technology), Ministry of Education, Shanghai 200237, China – sequence: 3 givenname: Shaobo surname: Wang fullname: Wang, Shaobo organization: Automation Division of Shanghai Electric Group Co., Ltd., Shanghai, China |
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| SubjectTerms | Algorithms Communication networks Controllers Dissipation Fading Feedback control Mathematical models Mobile communications networks Robust control Robustness (mathematics) Stochastic models Stochastic systems Wireless communications Wireless networks |
| Title | Robust finite-time dissipative control subject to randomly occurring uncertainties and stochastic fading measurements |
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