Model reference robust control for SISO systems with unmatched disturbances

Xinkai Chen, Toshio Fukuda

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


A new model reference robust control is proposed for single-input single-output (SISO) minimum-phase dynamical systems with unmatched disturbances, using only the input and output measurements. Based on VSS theory, an 'Approximate differentiator' is proposed to estimate a special signal generated by the disturbance. By using the estimated special signal to cancel the influence generated by the disturbance, the intermediate input (a certain order filter of the input) is synthesized on the basis of the Diophantine equation to achieve the model reference purpose. Finally, the real control input is determined by employing the formulated 'Approximate differentiator' technique. The output tracking error can be made arbitrarily small without the requirement for a large control energy to be available. Design examples and simulation results are presented to show the superiority and effectiveness of the proposed algorithm.

Original languageEnglish
Pages (from-to)666-677
Number of pages12
JournalInternational Journal of Control
Issue number8
Publication statusPublished - 2000 May 20
Externally publishedYes

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications


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