Observer-based Extended Dissipative Control for Delayed Singular Markovian Jump Systems via Relaxed Lyapunov-Krasovskii Functional
This paper addresses the problem of observer-based extended dissipative control for singular Markovian jump systems with time-varying delays. By using relaxed Lyapunov-Krasovskii functional approach and strict linear matrix inequality method, sufficient conditions are proposed to ensure that the del...
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| Published in | International journal of control, automation, and systems Vol. 20; no. 12; pp. 3833 - 3848 |
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| Main Authors | , , , , |
| Format | Journal Article |
| Language | English |
| Published |
Bucheon / Seoul
Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers
01.12.2022
Springer Nature B.V |
| Subjects | |
| Online Access | Get full text |
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| Abstract | This paper addresses the problem of observer-based extended dissipative control for singular Markovian jump systems with time-varying delays. By using relaxed Lyapunov-Krasovskii functional approach and strict linear matrix inequality method, sufficient conditions are proposed to ensure that the delayed singular Markovian jumping system is stochastically admissible and extended dissipative. Based on these conditions, a desired observer-based memory state feedback controller is designed to ensure that the closed-loop system satisfies stochastic admissibility and extended dissipativity. Finally, two examples including a numerical example and an oil catalytic cracking process are provided to illustrate the effectiveness of the proposed methods. |
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| AbstractList | This paper addresses the problem of observer-based extended dissipative control for singular Markovian jump systems with time-varying delays. By using relaxed Lyapunov-Krasovskii functional approach and strict linear matrix inequality method, sufficient conditions are proposed to ensure that the delayed singular Markovian jumping system is stochastically admissible and extended dissipative. Based on these conditions, a desired observer-based memory state feedback controller is designed to ensure that the closed-loop system satisfies stochastic admissibility and extended dissipativity. Finally, two examples including a numerical example and an oil catalytic cracking process are provided to illustrate the effectiveness of the proposed methods. |
| Author | Zhuang, Guangming Xia, Jianwei Wang, Xin Chen, Guoliang Zhang, Huasheng |
| Author_xml | – sequence: 1 givenname: Xin surname: Wang fullname: Wang, Xin organization: School of Mathematical Sciences, Liaocheng University – sequence: 2 givenname: Guangming orcidid: 0000-0002-6552-4636 surname: Zhuang fullname: Zhuang, Guangming email: zgmts@126.com organization: School of Mathematical Sciences, Liaocheng University – sequence: 3 givenname: Jianwei surname: Xia fullname: Xia, Jianwei organization: School of Mathematical Sciences, Liaocheng University – sequence: 4 givenname: Guoliang surname: Chen fullname: Chen, Guoliang organization: School of Mathematical Sciences, Liaocheng University – sequence: 5 givenname: Huasheng surname: Zhang fullname: Zhang, Huasheng organization: School of Mathematical Sciences, Liaocheng University |
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| Keywords | relaxed Lyapunov-Krasovskii functional singular systems Markovian jump systems memory state feedback controller Extended dissipative control |
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| SubjectTerms | Catalytic cracking Closed loops Control Control systems design Dissipation Engineering Feedback control Linear matrix inequalities Mathematical analysis Mechatronics Regular Papers Robotics State feedback |
| Title | Observer-based Extended Dissipative Control for Delayed Singular Markovian Jump Systems via Relaxed Lyapunov-Krasovskii Functional |
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