LMI-based design of state-feedback controllers for pole clustering of LPV systems in a union of DR-regions

This paper introduces an approach for the design of a state-feedback controller that achieves pole clustering in a union of (Formula presented.) -regions for linear parameter varying systems. The design conditions, obtained using a partial pole placement theorem, are eventually expressed in terms of...

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Detalles Bibliográficos
Autores: Yang, Ruicong, Rotondo, Damiano, Puig, Vicenç
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2022
País:España
Institución:Consejo Superior de Investigaciones Científicas (CSIC)
Repositorio:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/295937
Acceso en línea:http://hdl.handle.net/10261/295937
Access Level:acceso abierto
Palabra clave:Linear parameter varying (LPV) systems
Pole placement
Union of regions
Linear matrix inequalities (LMIs)
State-feedback control
Descripción
Sumario:This paper introduces an approach for the design of a state-feedback controller that achieves pole clustering in a union of (Formula presented.) -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.