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Model Reduction of Spatially Distributed Systems Using Coprime Factors and Semidefinite Programming

Author

Summary, in English

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.

Topic

  • Control Engineering

Keywords

  • semidefinite programming
  • networks
  • interconnected systems
  • Model reduction
  • linear systems
  • polynomial methods

Conference name

18th IFAC World Congress, 2011

Conference date

2011-08-28 - 2011-09-02

Conference place

Milan, Italy

Status

Published

Research group

  • LCCC