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

Henrik Sandberg

Research output: Contribution to journalArticlepeer-review

18 Citations (SciVal)


In this paper, the balanced truncation procedure is applied to time-varying linear systems, both in continuous and in discrete time. The methods are applied to a linear approximation of a diesel exhaust catalyst model. The reduced-order systems are obtained by using certain projections instead of direct balancing. An approximate 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. It gives simpler implementation with fewer computations.
Original languageEnglish
Pages (from-to)467-472
Issue number3
Publication statusPublished - 2006

Subject classification (UKÄ)

  • Control Engineering


  • Time-varying state dimension
  • Error bound
  • Linear time-varying systems
  • Discretization
  • Model reduction


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