Delay-dependent robust control for uncertain Linear systems with distributed and multiple delays
Time-delay in dynamical systems is often a source of instability and poor performance which presents in many applications. This paper deals with the robust control problem for class of uncertain linear neutral systems with multiple state and state derivatives delays. The parametric uncertainties are...
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Amirkabir University of Technology
2021-12-01
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| Series: | AUT Journal of Electrical Engineering |
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| Online Access: | https://eej.aut.ac.ir/article_4671_8118a78cf814af002a9d75a119771737.pdf |
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| author | Salman Baroumand Bita Labibi |
| author_facet | Salman Baroumand Bita Labibi |
| author_sort | Salman Baroumand |
| collection | DOAJ |
| description | Time-delay in dynamical systems is often a source of instability and poor performance which presents in many applications. This paper deals with the robust control problem for class of uncertain linear neutral systems with multiple state and state derivatives delays. The parametric uncertainties are time varying and unknown but norm bounded. In this paper by introducing a new Lyapunov functional, the stability condition is extended to structured uncertain neutral systems. so new ( Descriptor ) model transformation and a corresponding Lyapunov functional are introduced for stability analysis of systems with discrete and distributed multiple delay.Sufficient conditions are given in terms of linear matrix inequalities ( LMI ) and refer to neutral systems with discrete and distributed delays. Based on the stability condition, designing delay dependent / independent state feedback control is formulated. Solving the LMI problems, a robust memoryless state feedback control law is designed for all admissible uncertainties. The results depend on the size and varying rate of the delays.In this paper the presented model transformation and Lyapunov function can be applied further to H∞ control of linear uncertain systems with multiple state delays. Two examples are provided to show the effectiveness of the proposed strategy . |
| format | Article |
| id | doaj-art-304fedefaa884a02afb8877eb84cf830 |
| institution | Kabale University |
| issn | 2588-2910 2588-2929 |
| language | English |
| publishDate | 2021-12-01 |
| publisher | Amirkabir University of Technology |
| record_format | Article |
| series | AUT Journal of Electrical Engineering |
| spelling | doaj-art-304fedefaa884a02afb8877eb84cf8302025-08-20T03:26:48ZengAmirkabir University of TechnologyAUT Journal of Electrical Engineering2588-29102588-29292021-12-0153212714210.22060/eej.2021.18918.53704671Delay-dependent robust control for uncertain Linear systems with distributed and multiple delaysSalman Baroumand0Bita Labibi1Department of Electrical Engineering, Fasa University, IranDepartment of Biochemistry at University of Toronto, CanadaTime-delay in dynamical systems is often a source of instability and poor performance which presents in many applications. This paper deals with the robust control problem for class of uncertain linear neutral systems with multiple state and state derivatives delays. The parametric uncertainties are time varying and unknown but norm bounded. In this paper by introducing a new Lyapunov functional, the stability condition is extended to structured uncertain neutral systems. so new ( Descriptor ) model transformation and a corresponding Lyapunov functional are introduced for stability analysis of systems with discrete and distributed multiple delay.Sufficient conditions are given in terms of linear matrix inequalities ( LMI ) and refer to neutral systems with discrete and distributed delays. Based on the stability condition, designing delay dependent / independent state feedback control is formulated. Solving the LMI problems, a robust memoryless state feedback control law is designed for all admissible uncertainties. The results depend on the size and varying rate of the delays.In this paper the presented model transformation and Lyapunov function can be applied further to H∞ control of linear uncertain systems with multiple state delays. Two examples are provided to show the effectiveness of the proposed strategy .https://eej.aut.ac.ir/article_4671_8118a78cf814af002a9d75a119771737.pdfuncertain linear systemstime-delay systemslinear matrix inequalitiesmultiple delay |
| spellingShingle | Salman Baroumand Bita Labibi Delay-dependent robust control for uncertain Linear systems with distributed and multiple delays AUT Journal of Electrical Engineering uncertain linear systems time-delay systems linear matrix inequalities multiple delay |
| title | Delay-dependent robust control for uncertain Linear systems with distributed and multiple delays |
| title_full | Delay-dependent robust control for uncertain Linear systems with distributed and multiple delays |
| title_fullStr | Delay-dependent robust control for uncertain Linear systems with distributed and multiple delays |
| title_full_unstemmed | Delay-dependent robust control for uncertain Linear systems with distributed and multiple delays |
| title_short | Delay-dependent robust control for uncertain Linear systems with distributed and multiple delays |
| title_sort | delay dependent robust control for uncertain linear systems with distributed and multiple delays |
| topic | uncertain linear systems time-delay systems linear matrix inequalities multiple delay |
| url | https://eej.aut.ac.ir/article_4671_8118a78cf814af002a9d75a119771737.pdf |
| work_keys_str_mv | AT salmanbaroumand delaydependentrobustcontrolforuncertainlinearsystemswithdistributedandmultipledelays AT bitalabibi delaydependentrobustcontrolforuncertainlinearsystemswithdistributedandmultipledelays |