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

Ruicong Yang, Damiano Rotondo and Vicenç Puig

International Journal of Systems Science, 2022, vol. 53, issue 2, 291-312

Abstract: This paper introduces an approach for the design of a state-feedback controller that achieves pole clustering in a union of $ \mathcal {D}_R $ 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.

Date: 2022
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DOI: 10.1080/00207721.2021.1954717

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