Model Reduction of Spatially Distributed Systems Using Coprime Factors and Semidefinite Programming
Aivar Sootla, Anders Rantzer
In this paper an order reduction method for spatially distributed models is presented. Such systems may be modeled as two nodes interacting with each other through feedback. A model of one of the nodes reduced in such a way, that the closed loop performance is approximated. The method exploits a coprime factor description of the closed loop model and semidefinite programming. The method is related to controller reduction techniques and therefore is compared to those. Numerical examples show that using this algorithm the performance of the reduced order controller may be significantly improved.
semidefinite programming, networks, interconnected systems, Model reduction, linear systems, polynomial methods
In Preprints of the 18th IFAC World Congress, In 18th IFAC World Congress, Milano, Italy, August 2011.