Robust State Feedback Control with D-Admissible Assurance for Uncertain Discrete Singular Systems
This study addresses the state feedback control associated with D-admissible assurance for discrete singular systems subjected to parameter uncertainties in both the difference term and system matrices. Firstly, a refined analysis criterion of D-admissible assurance is presented, where the distinct...
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2024-09-01
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| author | Chih-Peng Huang |
| author_facet | Chih-Peng Huang |
| author_sort | Chih-Peng Huang |
| collection | DOAJ |
| description | This study addresses the state feedback control associated with D-admissible assurance for discrete singular systems subjected to parameter uncertainties in both the difference term and system matrices. Firstly, a refined analysis criterion of D-admissible assurance is presented, where the distinct form embraces multiple slack matrices and has lessened linear matrix inequalities (LMIs) constraints, which may be beneficial for reducing the conservatism of admissibility analysis. In consequence, by hiring the state feedback control, controller design issues with pole locations, which directly dominate the system performance, are mainly treated. For all the presented criteria can be formulated by the strict LMIs, they are thus suitably solved via current LMI solvers to conduct a state feedback controller with specific poles’ locations of system’s performance requirements. Finally, two numerical examples illustrate that the presented results are efficient and practicable. |
| format | Article |
| id | doaj-art-b98bde1e58984dbeb1803d7f1311dfc4 |
| institution | OA Journals |
| issn | 2075-1680 |
| language | English |
| publishDate | 2024-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj-art-b98bde1e58984dbeb1803d7f1311dfc42025-08-20T01:56:10ZengMDPI AGAxioms2075-16802024-09-0113963410.3390/axioms13090634Robust State Feedback Control with D-Admissible Assurance for Uncertain Discrete Singular SystemsChih-Peng Huang0Department of Computer Science, University of Taipei, Taipei 100, TaiwanThis study addresses the state feedback control associated with D-admissible assurance for discrete singular systems subjected to parameter uncertainties in both the difference term and system matrices. Firstly, a refined analysis criterion of D-admissible assurance is presented, where the distinct form embraces multiple slack matrices and has lessened linear matrix inequalities (LMIs) constraints, which may be beneficial for reducing the conservatism of admissibility analysis. In consequence, by hiring the state feedback control, controller design issues with pole locations, which directly dominate the system performance, are mainly treated. For all the presented criteria can be formulated by the strict LMIs, they are thus suitably solved via current LMI solvers to conduct a state feedback controller with specific poles’ locations of system’s performance requirements. Finally, two numerical examples illustrate that the presented results are efficient and practicable.https://www.mdpi.com/2075-1680/13/9/634uncertain systemsdiscrete singular systemsD-admissibilitylinear matrix inequality (LMI) |
| spellingShingle | Chih-Peng Huang Robust State Feedback Control with D-Admissible Assurance for Uncertain Discrete Singular Systems Axioms uncertain systems discrete singular systems D-admissibility linear matrix inequality (LMI) |
| title | Robust State Feedback Control with D-Admissible Assurance for Uncertain Discrete Singular Systems |
| title_full | Robust State Feedback Control with D-Admissible Assurance for Uncertain Discrete Singular Systems |
| title_fullStr | Robust State Feedback Control with D-Admissible Assurance for Uncertain Discrete Singular Systems |
| title_full_unstemmed | Robust State Feedback Control with D-Admissible Assurance for Uncertain Discrete Singular Systems |
| title_short | Robust State Feedback Control with D-Admissible Assurance for Uncertain Discrete Singular Systems |
| title_sort | robust state feedback control with d admissible assurance for uncertain discrete singular systems |
| topic | uncertain systems discrete singular systems D-admissibility linear matrix inequality (LMI) |
| url | https://www.mdpi.com/2075-1680/13/9/634 |
| work_keys_str_mv | AT chihpenghuang robuststatefeedbackcontrolwithdadmissibleassuranceforuncertaindiscretesingularsystems |