Digital modeling and hybrid control of sampled-data uncertain system with input time delay using the law of mean

Cheng S. Shieh, Jason S.H. Tsai, York Y. Sun

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)

Abstract

This paper utilizes an interval Pade approximate method together with interval arithmetic operation to convert a continuous-time uncertain system with input time-delay to an equivalent discrete-time interval model and transforms the robust control law of a continuous-time uncertain system with input time delay into an equivalent one of a sampled-data uncertain system with input time delay. The developed discrete-time interval model tightly encloses the exact discrete-time uncertain system with input time delay. Based on the law of mean and inclusion theory, a perturbed digital control law of input time-delay sampled-data uncertain system is newly presented, so that the states of the digitally controlled sample-data uncertain system closely match those of the originally well-designed continuous-time uncertain system.

Original languageEnglish
Pages (from-to)131-152
Number of pages22
JournalApplied Mathematical Modelling
Volume23
Issue number2
DOIs
Publication statusPublished - 1999 Feb

All Science Journal Classification (ASJC) codes

  • Modelling and Simulation
  • Applied Mathematics

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