Digital modelling, ideal state reconstructor, and control for time-delay sampled-data systems

J. S.H. Tsai, C. M. Chen, L. S. Shieh

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


The cascaded discrete-time state-space representation of a cascaded continuous-time system with fractional input delays is established. Based on the time-delay digital modelling, a practically implementable ideal state reconstructor is also established such that system states are exactly reconstructed via the measurement histories of inputs and outputs without a state observer. By utilizing the block-pulse function approximation the digital modelling of cascaded continuous-time systems with fractional input delays can be carried out, and an artificial input design method is proposed to determine the state feedback gain. Thus the practically implementable digital control law can be established for digital control of time-delay sampled-data systems. An illustrative example is shown to demonstrate the effectiveness of the proposed method.

Original languageEnglish
Pages (from-to)576-585
Number of pages10
JournalApplied Mathematical Modelling
Issue number11-12
Publication statusPublished - 1991

All Science Journal Classification (ASJC) codes

  • Modelling and Simulation
  • Applied Mathematics


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