Robust digital redesign of uncertain linear systems using the interval bilinear approximation method

L. S. Shieh, J. Gu, J. S.H. Tsai

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

This paper presents an interval bilinear approximation method to convert a continuous-time state-feedback robust control law to an equivalent discrete-time counterpart for robust digital control of a continuous-time uncertain system. For performing the digital redesign of a continuous-time uncertain system, the given continuous-time uncertain system is converted to a tightly bounded equivalent discrete-time uncertain model using the bilinear approximation method aided by the interval arithmetic operations. Also, utilizing the interval bilinear approximation method, the continuous-time robust control law is converted to an equivalent discrete-time interval control law. Applying this digitally redesigned control law, the states of the digitally controlled sampled-data uncertain system closely match those of the original continuous-time controlled uncertain system. A numerical example is presented to demonstrate the effectiveness of the proposed method.

Original languageEnglish
Pages (from-to)1667-1688
Number of pages22
JournalControl, theory and advanced technology
Volume10
Issue number4 pt 4
Publication statusPublished - 1995 Nov 1

All Science Journal Classification (ASJC) codes

  • Engineering(all)

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