Analytical upper bound for the error on the discretization of uncertain linear systems by using the tensor product model transformation.

Abstract
This work provides analytical upper bounds on the discretization error of uncertain linear systems. The Tensor Product Model Transformation is used to approximate the derived discretized system, with a reduced number of vertices. Digital state feedback controllers are then designed for the discretized system, for comparison to other available work in the current literature.
Description
Keywords
Tensor product model transformation, Discretization, Uncertain linear systems
Citation
CAMPOS, V. C. da. S.; BRAGA, M. F.; SANTOS, L. A. F. Analytical upper bound for the error on the discretization of uncertain linear systems by using the tensor product model transformation. Acta Polytechnica Hungarica, v. 17, n. 6, p. 61-74, 2020. Disponível em: <http://acta.uni-obuda.hu/Campos_Braga_Frezzatto_103.pdf>. Acesso em: 12 set. 2021.