Low frequency positive real control for delta operator systems

Hongjiu Yang*, Yuanqing Xia

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

46 Citations (Scopus)

Abstract

A strictly positive real control problem for delta operator systems in a low frequency range is presented by using the generalized Kalman- Yakubovič-Popov lemma. The objective of the strictly positive real control problem is to design a controller such that the transfer function is strictly positive real and the resulting closed-loop system is stable. Sufficient conditions for the low frequency strictly positive real controller of the closed-loop delta operator systems are presented in terms of solutions to a set of linear matrix inequalities. A numerical example is given to illustrate the effectiveness and potential for the developed techniques.

Original languageEnglish
Pages (from-to)1791-1795
Number of pages5
JournalAutomatica
Volume48
Issue number8
DOIs
Publication statusPublished - Aug 2012

Keywords

  • Delta operator system
  • Kalman-Yakubovič-Popov (KYP) lemma
  • Linear matrix inequality (LMI)
  • Low frequency range
  • Positive real control

Fingerprint

Dive into the research topics of 'Low frequency positive real control for delta operator systems'. Together they form a unique fingerprint.

Cite this