Reference governor for constrained systems with time-varying references

Kiminao Kogiso*, Kenji Hirata

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

92 Scopus citations

Abstract

This paper proposes constructing a reference governor for constrained linear systems with time-varying references. The main feature of the constructed reference governor is to simultaneously consider fulfillment of state and control constraints, as well as tracking performance by appropriately managing the reference to be inputted. To achieve constraint fulfillment and to evaluate tracking performance, the reference management is reduced into a convex quadratic programming problem using the concept of a maximal output admissible set. The reference governor is finally obtained in the form of a piecewise affine function of state and reference variables by means of a multi-parametric programming technique. In addition, the effectiveness of the reference governor is demonstrated by numerical and experimental examples of a practical DC position servomechanism with the control constraint.

Original languageEnglish
Pages (from-to)289-295
Number of pages7
JournalRobotics and Autonomous Systems
Volume57
Issue number3
DOIs
StatePublished - 2009/03/31

Keywords

  • Constrained system
  • Maximal output admissible set
  • Numerical and experimental verification
  • Optimization
  • Reference governor

ASJC Scopus subject areas

  • Software
  • Control and Systems Engineering
  • General Mathematics
  • Computer Science Applications

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