Analytical Upper Bound for the Error on the Discretization of Uncertain Linear Systems by using the Tensor Product Model Transformation
Víctor Costa da Silva Campos, Márcio F. Braga, Luciano Frezzatto
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.
Topics & Concepts
Transformation (genetics)DiscretizationTensor productDiscretization errorMathematicsProduct (mathematics)Tensor (intrinsic definition)Applied mathematicsUpper and lower boundsMathematical optimizationComputer scienceMathematical analysisPure mathematicsGeometryChemistryBiochemistryGeneComputational Physics and Python ApplicationsTensor decomposition and applicationsMatrix Theory and Algorithms