Estimating perturbation in eigenvalues for robust vibration controller design: analytical derivation and simulation
Ordinary fixed controllers designed based on nominal parameters do not take into account the uncertainties present in and around the system and hence lose their effectiveness when subjected to uncertainties. To overcome this, a robust control system that accommodates uncertainties is crucial. Struct...
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| Format: | Article |
| Language: | English English |
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Inderscience Publishers
2015
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| Online Access: | http://irep.iium.edu.my/39118/ http://irep.iium.edu.my/39118/1/asan2.pdf http://irep.iium.edu.my/39118/4/39118_Estimating_perturbation_in_eigenvalues_for_robust_vibration_SCOPUS.pdf |
| _version_ | 1848781726148460544 |
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| author | Banu, Aalya Abdul Muthalif, Asan Gani |
| author_facet | Banu, Aalya Abdul Muthalif, Asan Gani |
| author_sort | Banu, Aalya |
| building | IIUM Repository |
| collection | Online Access |
| description | Ordinary fixed controllers designed based on nominal parameters do not take into account the uncertainties present in and around the system and hence lose their effectiveness when subjected to uncertainties. To overcome this, a robust control system that accommodates uncertainties is crucial. Structural uncertainties could alter mass, damping and stiffness matrices of a system which in turn perturb its eigenvalues. Based on this, uncertainties in mass, damping and stiffness matrices are represented in terms of changes in eigenvalues. In this paper, an analytical solution for estimating the changes in eigenvalues of a plate-like structure when subjected to structural uncertainties is derived. The derived changes in eigenvalues are represented in terms of changes in mass and stiffness. The variation in eigenvalues obtained from analytical solution is then compared with numerical simulation. Based on the results obtained, the proposed estimation technique can aid in the design of robust controller for vibration control. |
| first_indexed | 2025-11-14T15:54:08Z |
| format | Article |
| id | iium-39118 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-14T15:54:08Z |
| publishDate | 2015 |
| publisher | Inderscience Publishers |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-391182017-08-07T01:16:26Z http://irep.iium.edu.my/39118/ Estimating perturbation in eigenvalues for robust vibration controller design: analytical derivation and simulation Banu, Aalya Abdul Muthalif, Asan Gani TJ Mechanical engineering and machinery Ordinary fixed controllers designed based on nominal parameters do not take into account the uncertainties present in and around the system and hence lose their effectiveness when subjected to uncertainties. To overcome this, a robust control system that accommodates uncertainties is crucial. Structural uncertainties could alter mass, damping and stiffness matrices of a system which in turn perturb its eigenvalues. Based on this, uncertainties in mass, damping and stiffness matrices are represented in terms of changes in eigenvalues. In this paper, an analytical solution for estimating the changes in eigenvalues of a plate-like structure when subjected to structural uncertainties is derived. The derived changes in eigenvalues are represented in terms of changes in mass and stiffness. The variation in eigenvalues obtained from analytical solution is then compared with numerical simulation. Based on the results obtained, the proposed estimation technique can aid in the design of robust controller for vibration control. Inderscience Publishers 2015 Article PeerReviewed application/pdf en http://irep.iium.edu.my/39118/1/asan2.pdf application/pdf en http://irep.iium.edu.my/39118/4/39118_Estimating_perturbation_in_eigenvalues_for_robust_vibration_SCOPUS.pdf Banu, Aalya and Abdul Muthalif, Asan Gani (2015) Estimating perturbation in eigenvalues for robust vibration controller design: analytical derivation and simulation. International Journal of Engineering Systems Modelling and Simulation, 7 (2). pp. 95-102. ISSN 1755-9766 http://www.inderscienceonline.com/doi/abs/10.1504/IJESMS.2015.068655 |
| spellingShingle | TJ Mechanical engineering and machinery Banu, Aalya Abdul Muthalif, Asan Gani Estimating perturbation in eigenvalues for robust vibration controller design: analytical derivation and simulation |
| title | Estimating perturbation in eigenvalues for robust vibration controller design: analytical derivation and simulation |
| title_full | Estimating perturbation in eigenvalues for robust vibration controller design: analytical derivation and simulation |
| title_fullStr | Estimating perturbation in eigenvalues for robust vibration controller design: analytical derivation and simulation |
| title_full_unstemmed | Estimating perturbation in eigenvalues for robust vibration controller design: analytical derivation and simulation |
| title_short | Estimating perturbation in eigenvalues for robust vibration controller design: analytical derivation and simulation |
| title_sort | estimating perturbation in eigenvalues for robust vibration controller design: analytical derivation and simulation |
| topic | TJ Mechanical engineering and machinery |
| url | http://irep.iium.edu.my/39118/ http://irep.iium.edu.my/39118/ http://irep.iium.edu.my/39118/1/asan2.pdf http://irep.iium.edu.my/39118/4/39118_Estimating_perturbation_in_eigenvalues_for_robust_vibration_SCOPUS.pdf |