Performance comparison of digital implementation of analog systems

Guofeng Zhang, Xiang Chen, Tongwen Chen

Research output: Chapter in book / Conference proceedingConference article published in proceeding or bookAcademic researchpeer-review

4 Citations (Scopus)


A new controller discretization approach, the generalized bilinear transformation (GBT), is proposed in [1]. Given an analog controller K, GBT generates a class of digital controllers Kgbt parameterized by α ∈ (-∞, ∞). A geometric interpretation of GBT is first presented. Secondly, when the original analog feedback system is stable, a method is proposed to find the value of the parameter α which provides upper bound of the sampling period guaranteeing closed-loop stability of the resulting sampled-data system. Thirdly, it is shown that step-tracking is preserved if the closed-loop sampled-data system is stable. Finally, two examples are used to demonstrate the strength of our digitization approach.
Original languageEnglish
Title of host publicationProceedings of the 46th IEEE Conference on Decision and Control 2007, CDC
Number of pages6
Publication statusPublished - 1 Dec 2007
Externally publishedYes
Event46th IEEE Conference on Decision and Control 2007, CDC - New Orleans, LA, United States
Duration: 12 Dec 200714 Dec 2007


Conference46th IEEE Conference on Decision and Control 2007, CDC
Country/TerritoryUnited States
CityNew Orleans, LA


  • Closed-loop stability
  • Controller discretization
  • Generalized bilinear transformation (GBT)
  • Optimization

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modelling and Simulation
  • Control and Optimization


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