Non-fragile extended dissipativity-based state feedback control for 2-D Markov jump delayed systems
This work deals with the issue of extended dissipativity-based state feedback control for an array of two-dimensional Markov jump systems established upon Fornasini–Marchesini local state-space model, in which a kind of state delays is thoroughly taken into account. Meanwhile, the non-fragile contro...
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| Published in | Applied mathematics and computation Vol. 362; p. 124571 |
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| Main Authors | , , , , , |
| Format | Journal Article |
| Language | English |
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Elsevier Inc
01.12.2019
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| Subjects | |
| Online Access | Get full text |
| ISSN | 0096-3003 1873-5649 |
| DOI | 10.1016/j.amc.2019.124571 |
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| Abstract | This work deals with the issue of extended dissipativity-based state feedback control for an array of two-dimensional Markov jump systems established upon Fornasini–Marchesini local state-space model, in which a kind of state delays is thoroughly taken into account. Meanwhile, the non-fragile control scheme is adopted to cope with the imprecisions occurring in the realization of the controller. The primary target is to devise a novel controller ensuring that the closed-loop system actualizes not merely the stochastic stability, but also meets a specified extended dissipative property. Through selecting a suitable Lyapunov–Krasovskii functional and applying a concise matrix decoupling approach, some criteria are derived to guarantee the solvability of the admissible controller. Ultimately, in order to validate the availability and practicability of the developed results, a simulation example is provided. |
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| AbstractList | This work deals with the issue of extended dissipativity-based state feedback control for an array of two-dimensional Markov jump systems established upon Fornasini–Marchesini local state-space model, in which a kind of state delays is thoroughly taken into account. Meanwhile, the non-fragile control scheme is adopted to cope with the imprecisions occurring in the realization of the controller. The primary target is to devise a novel controller ensuring that the closed-loop system actualizes not merely the stochastic stability, but also meets a specified extended dissipative property. Through selecting a suitable Lyapunov–Krasovskii functional and applying a concise matrix decoupling approach, some criteria are derived to guarantee the solvability of the admissible controller. Ultimately, in order to validate the availability and practicability of the developed results, a simulation example is provided. |
| ArticleNumber | 124571 |
| Author | Wang, Jian Dai, Mingcheng Huang, Zhengguo Xia, Jianwei Shen, Hao Meng, Bo |
| Author_xml | – sequence: 1 givenname: Mingcheng surname: Dai fullname: Dai, Mingcheng organization: School of Electrical and Information Engineering, Anhui University of Technology Ma’anshan 243002, China – sequence: 2 givenname: Zhengguo surname: Huang fullname: Huang, Zhengguo organization: School of Electrical and Information Engineering, Anhui University of Technology Ma’anshan 243002, China – sequence: 3 givenname: Jianwei orcidid: 0000-0002-5330-9349 surname: Xia fullname: Xia, Jianwei organization: School of Mathematical Sciences, Liaocheng University, Liaocheng 252059, China – sequence: 4 givenname: Bo surname: Meng fullname: Meng, Bo email: mb0922@sdust.edu.cn organization: College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, China – sequence: 5 givenname: Jian surname: Wang fullname: Wang, Jian organization: School of Electrical and Information Engineering, Anhui University of Technology Ma’anshan 243002, China – sequence: 6 givenname: Hao orcidid: 0000-0001-7024-6573 surname: Shen fullname: Shen, Hao organization: School of Electrical and Information Engineering, Anhui University of Technology Ma’anshan 243002, China |
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| Title | Non-fragile extended dissipativity-based state feedback control for 2-D Markov jump delayed systems |
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