H8 control of fractional linear systems
In this paper, the standard H8 control problem for continuous-time fractional linear time-invariant single-input-single-output systems is solved. The adopted approach consists of extending to the fractional case the procedure followed within the classical solution for the integer case. According to...
| Main Authors: | , , , |
|---|---|
| Format: | Journal Article |
| Published: |
Pergamon Press
2013
|
| Online Access: | http://hdl.handle.net/20.500.11937/52600 |
| _version_ | 1848758966433087488 |
|---|---|
| author | Padula, Fabrizio Alcántara, S. Vilanova, R. Visioli, A. |
| author_facet | Padula, Fabrizio Alcántara, S. Vilanova, R. Visioli, A. |
| author_sort | Padula, Fabrizio |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this paper, the standard H8 control problem for continuous-time fractional linear time-invariant single-input-single-output systems is solved. The adopted approach consists of extending to the fractional case the procedure followed within the classical solution for the integer case. According to the classical route, we first consider the generalization to fractional systems of the standard Youla parameterization of all the stabilizing controllers. The H8 optimal controller is then found among the class of stabilizing controllers, recasting the control problem into a model-matching one. The results obtained naturally extend well-established results to a fractional setting, including both the commensurate and noncommensurate case, thus providing a framework where H8 design can be recast along the well-known and fruitful lines of the integer case. A worked-through example is discussed in detail to illustrate the design procedure. © 2013 Published by Elsevier Ltd. |
| first_indexed | 2025-11-14T09:52:23Z |
| format | Journal Article |
| id | curtin-20.500.11937-52600 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:52:23Z |
| publishDate | 2013 |
| publisher | Pergamon Press |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-526002023-08-02T06:39:09Z H8 control of fractional linear systems Padula, Fabrizio Alcántara, S. Vilanova, R. Visioli, A. In this paper, the standard H8 control problem for continuous-time fractional linear time-invariant single-input-single-output systems is solved. The adopted approach consists of extending to the fractional case the procedure followed within the classical solution for the integer case. According to the classical route, we first consider the generalization to fractional systems of the standard Youla parameterization of all the stabilizing controllers. The H8 optimal controller is then found among the class of stabilizing controllers, recasting the control problem into a model-matching one. The results obtained naturally extend well-established results to a fractional setting, including both the commensurate and noncommensurate case, thus providing a framework where H8 design can be recast along the well-known and fruitful lines of the integer case. A worked-through example is discussed in detail to illustrate the design procedure. © 2013 Published by Elsevier Ltd. 2013 Journal Article http://hdl.handle.net/20.500.11937/52600 10.1016/j.automatica.2013.04.012 Pergamon Press restricted |
| spellingShingle | Padula, Fabrizio Alcántara, S. Vilanova, R. Visioli, A. H8 control of fractional linear systems |
| title | H8 control of fractional linear systems |
| title_full | H8 control of fractional linear systems |
| title_fullStr | H8 control of fractional linear systems |
| title_full_unstemmed | H8 control of fractional linear systems |
| title_short | H8 control of fractional linear systems |
| title_sort | h8 control of fractional linear systems |
| url | http://hdl.handle.net/20.500.11937/52600 |