Design of deadbeat control system considering worst case steady-state tracking performance

Manabu Yamada*, Yasuyuki Funahashi, Zaier Riadh

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)


This paper poses and solves the problem of synthesis of controllers minimizing the worst case steady-state controlled error in the presence of time-varying unstructured uncertainty. The contributions are as follows: First, under the assumption that the plant is strictly proper, we present a new and simple expression for calculating the worst case steady-state error, which gives useful and interesting suggestions on the controller design. Therefore it is revealed that the synthesis problem can be reduced to a simple and tractable l1-norm minimization problem. Secondly, using this reduction a simple design method is presented for obtaining deadbeat controllers with given settling steps to guarantee the robust stability and to minimize the worst case steady-state controlled error. The proposed controllers are obtained easily by solving a simple linear programming problem.

Original languageEnglish
Pages (from-to)351-356
Number of pages6
JournalProceedings of the IEEE Conference on Decision and Control
Publication statusPublished - 1997

ASJC Scopus subject areas

  • Chemical Health and Safety
  • Control and Systems Engineering
  • Safety, Risk, Reliability and Quality


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