Optimal set-point regulation of fractional systems
This paper deals with the input-output system inversion of fractional order minimum-phase scalar linear systems. Given an arbitrarily smooth t-parameterized output function, the corresponding t-parameterized input is computed explicitly in order to obtain a smooth transition of the system from a ste...
| Main Authors: | , |
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| Format: | Conference Paper |
| Published: |
2013
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| Online Access: | http://hdl.handle.net/20.500.11937/52643 |
| _version_ | 1848758977067745280 |
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| author | Padula, Fabrizio Visioli, A. |
| author_facet | Padula, Fabrizio Visioli, A. |
| author_sort | Padula, Fabrizio |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | This paper deals with the input-output system inversion of fractional order minimum-phase scalar linear systems. Given an arbitrarily smooth t-parameterized output function, the corresponding t-parameterized input is computed explicitly in order to obtain a smooth transition of the system from a steady state value to a new one in a time interval t. The minimum time constrained transition problem is addressed. Given the predefined output function and set of constraints on the input signal and its derivatives, the existence of an optimal feasible input is proven under very mild conditions. An illustrative example shows the effectiveness of the proposed solution. © 2013 IFAC. |
| first_indexed | 2025-11-14T09:52:33Z |
| format | Conference Paper |
| id | curtin-20.500.11937-52643 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:52:33Z |
| publishDate | 2013 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-526432017-09-13T15:40:22Z Optimal set-point regulation of fractional systems Padula, Fabrizio Visioli, A. This paper deals with the input-output system inversion of fractional order minimum-phase scalar linear systems. Given an arbitrarily smooth t-parameterized output function, the corresponding t-parameterized input is computed explicitly in order to obtain a smooth transition of the system from a steady state value to a new one in a time interval t. The minimum time constrained transition problem is addressed. Given the predefined output function and set of constraints on the input signal and its derivatives, the existence of an optimal feasible input is proven under very mild conditions. An illustrative example shows the effectiveness of the proposed solution. © 2013 IFAC. 2013 Conference Paper http://hdl.handle.net/20.500.11937/52643 10.3182/20130204-3-FR-4032.00152 restricted |
| spellingShingle | Padula, Fabrizio Visioli, A. Optimal set-point regulation of fractional systems |
| title | Optimal set-point regulation of fractional systems |
| title_full | Optimal set-point regulation of fractional systems |
| title_fullStr | Optimal set-point regulation of fractional systems |
| title_full_unstemmed | Optimal set-point regulation of fractional systems |
| title_short | Optimal set-point regulation of fractional systems |
| title_sort | optimal set-point regulation of fractional systems |
| url | http://hdl.handle.net/20.500.11937/52643 |