Matrix Routh-approximant reduced-order modelling for multivariable systems
A matrix Routh-approximant modelling procedure is proposed for a multi-input multi-output system characterized by a matrix transfer function G(s), where G(s) = B(s) A −1(s) and A(s) and B(s) are matrix polynomials in s. The associated time-domain modelling procedure is also discussed. Compared with three matrix Cauer continued-fractions, the proposed method requires less computational effort. In addition, it is applicable to systems with unequal number of inputs and outputs. A demonstrative example is included.
This paper details the development of a simplified MRP through the equation of Leontief (linear algebra), and proposes its teaching in three parts a) data collection and recognition of the relationship between materials, b) a list of variables and mathematics explanation, c) obtaining results and verifying them by software. The academic exercise is about the flow of ingredients required to comply with a plan for food services and is intended to be a learning tool to facilitate the study of this method in the hospitality management courses.