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

Publication

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

Journal Article (2022)

Journal

International Journal of Systems Science

Pages

291-312

Volume

Number

Doc link

https://doi.org/10.1080/00207721.2021.1954717

File

Download the digital copy of the doc pdf document

Authors

Abstract

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.

Scientific reference

R. Yang, D. Rotondo and V. Puig. LMI-based design of state-feedback controllers for pole clustering of LPV systems in a union of DR-regions. International Journal of Systems Science, 53(2): 291-312, 2022.