PID Control Design for SISO Strictly Metzlerian Linear Systems
For linear time-invariant Metzlerian systems, this paper proposes an original approach reflecting specific structural system constraints and positiveness in solving the problem of PID control. Refining parameter constraints and introducing enhanced equivalent system descriptions, the reformulated de...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-11-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/12/12/1979 |
| _version_ | 1797546221882048512 |
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| author | Dušan Krokavec Anna Filasová |
| author_facet | Dušan Krokavec Anna Filasová |
| author_sort | Dušan Krokavec |
| collection | DOAJ |
| description | For linear time-invariant Metzlerian systems, this paper proposes an original approach reflecting specific structural system constraints and positiveness in solving the problem of PID control. Refining parameter constraints and introducing enhanced equivalent system descriptions, the reformulated design task is consistent with the control law representation and is formulated as a linear matrix inequality feasibility problem. Taking into account structural restriction of Metzlerian positive systems, a characterization of PID control law parameters is permitted, to highlight dynamical properties of the closed-loop system solutions and the significant structural influence of derivative gain value of the control law parameters in design. |
| first_indexed | 2024-03-10T14:27:02Z |
| format | Article |
| id | doaj.art-4858f9e945b142e09ec87abfa59ce8cb |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-10T14:27:02Z |
| publishDate | 2020-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-4858f9e945b142e09ec87abfa59ce8cb2023-11-20T22:55:25ZengMDPI AGSymmetry2073-89942020-11-011212197910.3390/sym12121979PID Control Design for SISO Strictly Metzlerian Linear 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, SlovakiaFor linear time-invariant Metzlerian systems, this paper proposes an original approach reflecting specific structural system constraints and positiveness in solving the problem of PID control. Refining parameter constraints and introducing enhanced equivalent system descriptions, the reformulated design task is consistent with the control law representation and is formulated as a linear matrix inequality feasibility problem. Taking into account structural restriction of Metzlerian positive systems, a characterization of PID control law parameters is permitted, to highlight dynamical properties of the closed-loop system solutions and the significant structural influence of derivative gain value of the control law parameters in design.https://www.mdpi.com/2073-8994/12/12/1979linear Metzlerian systemspositive linear systemsdiagonal stabilizationlinear matrix inequalitiesPID control |
| spellingShingle | Dušan Krokavec Anna Filasová PID Control Design for SISO Strictly Metzlerian Linear Systems Symmetry linear Metzlerian systems positive linear systems diagonal stabilization linear matrix inequalities PID control |
| title | PID Control Design for SISO Strictly Metzlerian Linear Systems |
| title_full | PID Control Design for SISO Strictly Metzlerian Linear Systems |
| title_fullStr | PID Control Design for SISO Strictly Metzlerian Linear Systems |
| title_full_unstemmed | PID Control Design for SISO Strictly Metzlerian Linear Systems |
| title_short | PID Control Design for SISO Strictly Metzlerian Linear Systems |
| title_sort | pid control design for siso strictly metzlerian linear systems |
| topic | linear Metzlerian systems positive linear systems diagonal stabilization linear matrix inequalities PID control |
| url | https://www.mdpi.com/2073-8994/12/12/1979 |
| work_keys_str_mv | AT dusankrokavec pidcontroldesignforsisostrictlymetzlerianlinearsystems AT annafilasova pidcontroldesignforsisostrictlymetzlerianlinearsystems |