Optimal multidimensional model reduction based on combined projections H_2 norm: application to continuous and discrete time systems

摘要

A comparative study of two important Model Order Reduction (MOR) systems based on internal projections and H_2 norm is presented. It is about Tangential interpolation and the Linear Matrix Inequalities (LMIs) optimisation based methods. In both techniques, the resulting optimal approximants of reduced order are constructed from state space projections and constrained to verify a certain H_2 relative error norm. In this paper, its shown the applicability of these techniques as well for the continuous time as the discrete time multidimensional systems. Since the industry has always been one of the main motivating fields for the development of MOR techniques, the present work offers an expansion to state of the art low order MOR tools and their use to any industrial process to achieve three core features: simplicity of analysis, low computation efforts and an easy and feasible control.