An input-output criterion for linear model deduction

Model order deduction algorithms have been developed in an effort to automa te the production of accurate, minimal complexity models of dynamic systems in order to aid ill the design of these systems. Previous algorithms, MODA and Extended MODA, deduce models independent of sq stern inputs and output s. FD-MODA uses frequency response methods to deduce models of a single inp ut-output pair. ba this paper, art input output criterion based on controll ability and observability is combined with the frequency based ;criterion u sed by MODA. The new model deduction algorithm, IO-MODA, compares the ratio of the adjacent diagonal values of the system gramian to a riser specified threshold. The gramian is computed from, a balanced realization of the sys tem. IO-MODA generates an accurate multiple-input multiple-output model of minimum order with physically meaningful stares. This model is called a pro per MIMO model An example problem is used to demonstrate this new model ded uction algorithm.