Model conversions of uncertain linear system via the interval tuning bilinear approximation method

Cheng Shion Shieh, Jason Sheng-Hon Tsai, York Yih Sun

Research output: Contribution to journalArticlepeer-review

Abstract

This paper presents a new tuning bilinear approximation method together with the interval arithmetic operation to convert a continuous-time (discrete-time) uncertain system to an equivalent discrete-time (continuous-time) uncertain model. Based on the bilinear approximation method, we induct one parameter for tuning the error bound between the exact and approximate uncertain system matrices. The bounds of interval system matrices via the proposed interval tuning bilinear approximation method are narrower than those of the existing interval bilinear and the interval pade approximation methods(1). The resulting interval models (the enclosing interval models) are able to tightly enclose the exact uncertian models. Also the approximate discrete-time interval solution is able to tightly enclose the exact interval solution of the continuous-time uncertain state-space equation. The proposed method will be helpful for analysis and synthesis of uncertain systems.

Original languageEnglish
Pages (from-to)154-162
Number of pages9
JournalJSME International Journal, Series C: Dynamics, Control, Robotics, Design and Manufacturing
Volume42
Issue number1
Publication statusPublished - 1999 Mar

All Science Journal Classification (ASJC) codes

  • Engineering(all)

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