<i>μ</i>-Analysis and <i>μ</i>-Synthesis Control Methods in Smart Structure Disturbance Suppression with Reduced Order Control
In this study, we created an accurate model for a homogenous smart structure. After modeling multiplicative uncertainty, an ideal robust controller was designed using <i>μ</i>-synthesis and a reduced-order H-infinity Feedback Optimal Output (Hifoo) controller, leading to the creation of...
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2024-02-01
|
| Series: | Algorithms |
| Subjects: | |
| Online Access: | https://www.mdpi.com/1999-4893/17/2/73 |
| _version_ | 1827344351854854144 |
|---|---|
| author | Amalia Moutsopoulou Markos Petousis Georgios E. Stavroulakis Anastasios Pouliezos Nectarios Vidakis |
| author_facet | Amalia Moutsopoulou Markos Petousis Georgios E. Stavroulakis Anastasios Pouliezos Nectarios Vidakis |
| author_sort | Amalia Moutsopoulou |
| collection | DOAJ |
| description | In this study, we created an accurate model for a homogenous smart structure. After modeling multiplicative uncertainty, an ideal robust controller was designed using <i>μ</i>-synthesis and a reduced-order H-infinity Feedback Optimal Output (Hifoo) controller, leading to the creation of an improved uncertain plant. A powerful controller was built using a larger plant that included the nominal model and corresponding uncertainty. The designed controllers demonstrated robust and nominal performance when handling agitated plants. A comparison of the results was conducted. As an example of a general smart structure, the vibration of a collocated piezoelectric actuator and sensor was controlled using two different approaches with strong controller designs. This study presents a comprehensive simulation of the oscillation suppression problem for smart beams. They provide an analytical demonstration of how uncertainty is introduced into the model. The desired outcomes were achieved by utilizing Simulink and MATLAB (v. 8.0) programming tools. |
| first_indexed | 2024-03-07T22:45:55Z |
| format | Article |
| id | doaj.art-afbff6fc0b0f48e7853cdc2064ad9707 |
| institution | Directory Open Access Journal |
| issn | 1999-4893 |
| language | English |
| last_indexed | 2024-03-07T22:45:55Z |
| publishDate | 2024-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Algorithms |
| spelling | doaj.art-afbff6fc0b0f48e7853cdc2064ad97072024-02-23T15:04:29ZengMDPI AGAlgorithms1999-48932024-02-011727310.3390/a17020073<i>μ</i>-Analysis and <i>μ</i>-Synthesis Control Methods in Smart Structure Disturbance Suppression with Reduced Order ControlAmalia Moutsopoulou0Markos Petousis1Georgios E. Stavroulakis2Anastasios Pouliezos3Nectarios Vidakis4Department of Mechanical Engineering, Hellenic Mediterranean University, 71410 Heraklion, GreeceDepartment of Mechanical Engineering, Hellenic Mediterranean University, 71410 Heraklion, GreeceDepartment of Production Engineering and Management, Technical University of Crete, 73100 Chania, GreeceDepartment of Production Engineering and Management, Technical University of Crete, 73100 Chania, GreeceDepartment of Mechanical Engineering, Hellenic Mediterranean University, 71410 Heraklion, GreeceIn this study, we created an accurate model for a homogenous smart structure. After modeling multiplicative uncertainty, an ideal robust controller was designed using <i>μ</i>-synthesis and a reduced-order H-infinity Feedback Optimal Output (Hifoo) controller, leading to the creation of an improved uncertain plant. A powerful controller was built using a larger plant that included the nominal model and corresponding uncertainty. The designed controllers demonstrated robust and nominal performance when handling agitated plants. A comparison of the results was conducted. As an example of a general smart structure, the vibration of a collocated piezoelectric actuator and sensor was controlled using two different approaches with strong controller designs. This study presents a comprehensive simulation of the oscillation suppression problem for smart beams. They provide an analytical demonstration of how uncertainty is introduced into the model. The desired outcomes were achieved by utilizing Simulink and MATLAB (v. 8.0) programming tools.https://www.mdpi.com/1999-4893/17/2/73<i>μ</i>-analysis<i>μ</i>-synthesisreduced-order controldisturbance rejectionsmart structure |
| spellingShingle | Amalia Moutsopoulou Markos Petousis Georgios E. Stavroulakis Anastasios Pouliezos Nectarios Vidakis <i>μ</i>-Analysis and <i>μ</i>-Synthesis Control Methods in Smart Structure Disturbance Suppression with Reduced Order Control Algorithms <i>μ</i>-analysis <i>μ</i>-synthesis reduced-order control disturbance rejection smart structure |
| title | <i>μ</i>-Analysis and <i>μ</i>-Synthesis Control Methods in Smart Structure Disturbance Suppression with Reduced Order Control |
| title_full | <i>μ</i>-Analysis and <i>μ</i>-Synthesis Control Methods in Smart Structure Disturbance Suppression with Reduced Order Control |
| title_fullStr | <i>μ</i>-Analysis and <i>μ</i>-Synthesis Control Methods in Smart Structure Disturbance Suppression with Reduced Order Control |
| title_full_unstemmed | <i>μ</i>-Analysis and <i>μ</i>-Synthesis Control Methods in Smart Structure Disturbance Suppression with Reduced Order Control |
| title_short | <i>μ</i>-Analysis and <i>μ</i>-Synthesis Control Methods in Smart Structure Disturbance Suppression with Reduced Order Control |
| title_sort | i μ i analysis and i μ i synthesis control methods in smart structure disturbance suppression with reduced order control |
| topic | <i>μ</i>-analysis <i>μ</i>-synthesis reduced-order control disturbance rejection smart structure |
| url | https://www.mdpi.com/1999-4893/17/2/73 |
| work_keys_str_mv | AT amaliamoutsopoulou imianalysisandimisynthesiscontrolmethodsinsmartstructuredisturbancesuppressionwithreducedordercontrol AT markospetousis imianalysisandimisynthesiscontrolmethodsinsmartstructuredisturbancesuppressionwithreducedordercontrol AT georgiosestavroulakis imianalysisandimisynthesiscontrolmethodsinsmartstructuredisturbancesuppressionwithreducedordercontrol AT anastasiospouliezos imianalysisandimisynthesiscontrolmethodsinsmartstructuredisturbancesuppressionwithreducedordercontrol AT nectariosvidakis imianalysisandimisynthesiscontrolmethodsinsmartstructuredisturbancesuppressionwithreducedordercontrol |