Linear Matrix Inequalities in Fault Detection Filter Design for Linear Ostensible Metzler Systems
The article deals with the properties of fault detection filters when applying their structure to a class of linear, continuous-time systems, with dynamics being specified by the system matrix of the ostensible Metzler structure. The proposed solution is reduced to the use of diagonal stabilization...
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MDPI AG
2025-01-01
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| Online Access: | https://www.mdpi.com/2075-1702/13/1/46 |
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| author | Dušan Krokavec Anna Filasová |
| author_facet | Dušan Krokavec Anna Filasová |
| author_sort | Dušan Krokavec |
| collection | DOAJ |
| description | The article deals with the properties of fault detection filters when applying their structure to a class of linear, continuous-time systems, with dynamics being specified by the system matrix of the ostensible Metzler structure. The proposed solution is reduced to the use of diagonal stabilization in the synthesis of the state observer and uses the decomposition of the ostensible Metzler matrix. The approach creates a unified framework that covers the compactness of parametric constraints on Metzler matrices and their quadratic stability. Due to the complexity of such constraints, the design conditions are formulated using sharp linear matrix inequalities. For potential application in network control structures, the problem is formulated and solved for linear discrete-time ostensible positive systems. Finally, a linearized model of the B747-100/200 aircraft is used to validate the proposed method. The numerical solution and simulation results show that the proposed approach provides superior sensitivity of the fault detection filter in detecting faults, compared to synthesis methods that do not guarantee the positivity of the filter gain. |
| format | Article |
| id | doaj-art-7d33c3297df947539b447d3474d53345 |
| institution | Kabale University |
| issn | 2075-1702 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Machines |
| spelling | doaj-art-7d33c3297df947539b447d3474d533452025-01-24T13:39:15ZengMDPI AGMachines2075-17022025-01-011314610.3390/machines13010046Linear Matrix Inequalities in Fault Detection Filter Design for Linear Ostensible Metzler SystemsDušan Krokavec0Anna Filasová1Department of Cybernetics and Artificial Intelligence, Faculty of Electrical Engineering and Informatics, Technical University of Kosice, 042 00 Kosice, SlovakiaDepartment of Cybernetics and Artificial Intelligence, Faculty of Electrical Engineering and Informatics, Technical University of Kosice, 042 00 Kosice, SlovakiaThe article deals with the properties of fault detection filters when applying their structure to a class of linear, continuous-time systems, with dynamics being specified by the system matrix of the ostensible Metzler structure. The proposed solution is reduced to the use of diagonal stabilization in the synthesis of the state observer and uses the decomposition of the ostensible Metzler matrix. The approach creates a unified framework that covers the compactness of parametric constraints on Metzler matrices and their quadratic stability. Due to the complexity of such constraints, the design conditions are formulated using sharp linear matrix inequalities. For potential application in network control structures, the problem is formulated and solved for linear discrete-time ostensible positive systems. Finally, a linearized model of the B747-100/200 aircraft is used to validate the proposed method. The numerical solution and simulation results show that the proposed approach provides superior sensitivity of the fault detection filter in detecting faults, compared to synthesis methods that do not guarantee the positivity of the filter gain.https://www.mdpi.com/2075-1702/13/1/46ostensible Metzler systemspositive systemsparametric constraintslinear matrix inequalitiesstate estimationfault residual filters |
| spellingShingle | Dušan Krokavec Anna Filasová Linear Matrix Inequalities in Fault Detection Filter Design for Linear Ostensible Metzler Systems Machines ostensible Metzler systems positive systems parametric constraints linear matrix inequalities state estimation fault residual filters |
| title | Linear Matrix Inequalities in Fault Detection Filter Design for Linear Ostensible Metzler Systems |
| title_full | Linear Matrix Inequalities in Fault Detection Filter Design for Linear Ostensible Metzler Systems |
| title_fullStr | Linear Matrix Inequalities in Fault Detection Filter Design for Linear Ostensible Metzler Systems |
| title_full_unstemmed | Linear Matrix Inequalities in Fault Detection Filter Design for Linear Ostensible Metzler Systems |
| title_short | Linear Matrix Inequalities in Fault Detection Filter Design for Linear Ostensible Metzler Systems |
| title_sort | linear matrix inequalities in fault detection filter design for linear ostensible metzler systems |
| topic | ostensible Metzler systems positive systems parametric constraints linear matrix inequalities state estimation fault residual filters |
| url | https://www.mdpi.com/2075-1702/13/1/46 |
| work_keys_str_mv | AT dusankrokavec linearmatrixinequalitiesinfaultdetectionfilterdesignforlinearostensiblemetzlersystems AT annafilasova linearmatrixinequalitiesinfaultdetectionfilterdesignforlinearostensiblemetzlersystems |