LMI-based design of state-feedback controllers for pole clustering of LPV systems in a union of -regions
This paper introduces an approach for the design of a state-feedback controller that achieves pole clustering in a union of DR-regions for linear parameter varying systems. The design conditions, obtained using a partial pole placement theorem, are eventually expressed in terms of linear matrix ineq...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2021 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/363139 |
| Acceso en línea: | https://hdl.handle.net/2117/363139 https://dx.doi.org/10.1080/00207721.2021.1954717 |
| Access Level: | acceso abierto |
| Palabra clave: | Control engineering System theory Matrix inequalities Linear parameter varying (LPV) systems Pole placement Union of regions Linear matrix inequalities (LMIs) State-feedback control Desigualtats matricials Sistemes, Teoria de Àrees temàtiques de la UPC::Informàtica |
| Sumario: | This paper introduces an approach for the design of a state-feedback controller that achieves pole clustering in a union of DR-regions for linear parameter varying systems. The design conditions, obtained using a partial pole placement theorem, are eventually expressed in terms of linear matrix inequalities. In addition, it is shown that the approach can be modified in a shifting sense. Hence, the controller gain is computed such that different values of the varying parameters imply different regions of the complex plane where the closed-loop poles are situated. This approach enables the online modification of the closed-loop performance. The effectiveness of the proposed method is demonstrated by means of simulations. |
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