Techniques in Optimized Model Reduction for High Dimensional Systems

H2 and H∞ optimal model reduction using genetic algorithms

“…Consider the Hankel singular values of system G(s) defined in Eq. (1). In H N model reduction [22], if the nth order transfer function G(s) is reduced into an rth order transfer function G r (s), then…”

“…Those two techniques made it possible to predict the error between the frequency responses of the full and the reducedorder models [1].…”

“…In order to solve those non-linear equations, one will have to go through computationally demanding iterative minimization algorithms, that suffer from many problems such as the choice of starting guesses, convergence, and multiple local minima, not to mention the huge amount of time it demands to reach a solution [1].…”