Delay-Dependent and Order-Dependent Guaranteed Cost Control for Uncertain Fractional-Order Delayed Linear Systems
This paper addresses the guaranteed cost control problem of a class of uncertain fractional-order (FO) delayed linear systems with norm-bounded time-varying parametric uncertainty. The study is focused on the design of state feedback controllers with delay such that the resulting closed-loop system...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-12-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/9/1/41 |
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| author | Fei Qi Yi Chai Liping Chen José A. Tenreiro Machado |
| author_facet | Fei Qi Yi Chai Liping Chen José A. Tenreiro Machado |
| author_sort | Fei Qi |
| collection | DOAJ |
| description | This paper addresses the guaranteed cost control problem of a class of uncertain fractional-order (FO) delayed linear systems with norm-bounded time-varying parametric uncertainty. The study is focused on the design of state feedback controllers with delay such that the resulting closed-loop system is asymptotically stable and an adequate level of performance is also guaranteed. Stemming from the linear matrix inequality (LMI) approach and the FO Razumikhin theorem, a delay- and order-dependent design method is proposed with guaranteed closed-loop stability and cost for admissible uncertainties. Examples illustrate the effectiveness of the proposed method. |
| first_indexed | 2024-03-10T13:44:47Z |
| format | Article |
| id | doaj.art-b4acc1e2d5644c48925f2f93715fdb80 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T13:44:47Z |
| publishDate | 2020-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-b4acc1e2d5644c48925f2f93715fdb802023-11-21T02:42:37ZengMDPI AGMathematics2227-73902020-12-01914110.3390/math9010041Delay-Dependent and Order-Dependent Guaranteed Cost Control for Uncertain Fractional-Order Delayed Linear SystemsFei Qi0Yi Chai1Liping Chen2José A. Tenreiro Machado3School of Automation, Chongqing University, Chongqing 400044, ChinaSchool of Automation, Chongqing University, Chongqing 400044, ChinaSchool of Electrical Engineering and Automation, Hefei University of Technology, Hefei 230009, ChinaDepartment of Electrical Engineering, Institute of Engineering, Polytechnic of Porto, R. Dr. António Bernardino de Almeida, 431, 4249-015 Porto, PortugalThis paper addresses the guaranteed cost control problem of a class of uncertain fractional-order (FO) delayed linear systems with norm-bounded time-varying parametric uncertainty. The study is focused on the design of state feedback controllers with delay such that the resulting closed-loop system is asymptotically stable and an adequate level of performance is also guaranteed. Stemming from the linear matrix inequality (LMI) approach and the FO Razumikhin theorem, a delay- and order-dependent design method is proposed with guaranteed closed-loop stability and cost for admissible uncertainties. Examples illustrate the effectiveness of the proposed method.https://www.mdpi.com/2227-7390/9/1/41fractional-order systemsguaranteed cost controlinput delayLMI approach |
| spellingShingle | Fei Qi Yi Chai Liping Chen José A. Tenreiro Machado Delay-Dependent and Order-Dependent Guaranteed Cost Control for Uncertain Fractional-Order Delayed Linear Systems Mathematics fractional-order systems guaranteed cost control input delay LMI approach |
| title | Delay-Dependent and Order-Dependent Guaranteed Cost Control for Uncertain Fractional-Order Delayed Linear Systems |
| title_full | Delay-Dependent and Order-Dependent Guaranteed Cost Control for Uncertain Fractional-Order Delayed Linear Systems |
| title_fullStr | Delay-Dependent and Order-Dependent Guaranteed Cost Control for Uncertain Fractional-Order Delayed Linear Systems |
| title_full_unstemmed | Delay-Dependent and Order-Dependent Guaranteed Cost Control for Uncertain Fractional-Order Delayed Linear Systems |
| title_short | Delay-Dependent and Order-Dependent Guaranteed Cost Control for Uncertain Fractional-Order Delayed Linear Systems |
| title_sort | delay dependent and order dependent guaranteed cost control for uncertain fractional order delayed linear systems |
| topic | fractional-order systems guaranteed cost control input delay LMI approach |
| url | https://www.mdpi.com/2227-7390/9/1/41 |
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