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arXiv · 2208.05694

Sampled-data control design for systems with quantized actuators

Francesco Ferrante·Sophie Tarbouriech
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Abstract

This paper deals with the problem of designing a sampled-data state feedback control law for continuous-time linear control systems subject to uniform input quantization. The sampled-data state feedback is designed to ensure the uniform global asymptotic stability (UGAS) of an attractor surrounding the origin. The closed-loop system is rewritten as a hybrid dynamical system. To do this, an auxiliary clock variable triggering the occurrence of sampling events is introduced. A numerically tractable algorithm with feasibility guarantees, based on concave-convex decomposition, is then proposed allowing to minimize the size of the attractor. Theoretical results are illustrated in a numerical example.

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BibTeXRIS

Francesco Ferrante, Sophie Tarbouriech. 2022-08-11. Sampled-data control design for systems with quantized actuators. https://doi.org/10.1016/j.ifacol.2022.11.30

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