A Lagrangian Method for Model Reduction of Controlled Systems

摘要

This paper presents a method for closed-loop order reduction of linear systems. An approximation is carried out on the Lagrangian or Hamiltonian system that is obtained from the problem to minimize an optimization criterion subject to plant dynamics and system constraints. The resulting Hamiltonian system is reduced in complexity by means of a standard reduction techniques. The merits of the method are illustrated on an example of a distillation process.