A Case Study in Model Reduction of Linear Time-Varying Systems

Research output: Chapter in Book/Report/Conference proceedingPaper in conference proceeding


In this paper the balanced truncation procedureis applied to a time-varying linear system, both in continuous and in discrete time. It is discussed how to obtain the reduced-order systems by using certainprojections instead of direct balancing. An approximative zero-order-hold discretization of continuous-time systems is described, and a new a priori approximation error bound for balanced truncation in the discrete-time case is obtained. The case study shows that there are several advantages to work in discrete time, including simpler implementation and less computations.


  • Henrik Sandberg
Research areas and keywords

Subject classification (UKÄ) – MANDATORY

  • Control Engineering
Original languageEnglish
Title of host publicationProceedings of the 2nd IFAC Workshop on Periodic Control Systems
Publication statusPublished - 2004
Publication categoryResearch