Order Reduction & Structure Simplification for Nonlinear Systems

This paper considers the problem of passing from a nonlinear simple-structure model to a low-order approximation by preserving simplicity. The approximation problem is often best posed as an `2 optimization problem. This optimization problem is the core of our order reduction method so-called system matrices optimization. The simplification is formulated as special secondary conditions which can be added to the original optimization problem. In order to find the simplest reduced order model a search process should be performed that an appropriate and effective fitness function and some techniques for shrinking the search space and accelerating the search process is presented. Copyright c ©2005 IFAC