ROBUST SEMIGLOBAL STABILIZATION OF THE SECOND ORDER SYSTEM BY RELAY FEEDBACK WITH AN UNCERTAIN VARIABLE TIME DELAY

E. Shustin, L. Fridman, E. Fridman

Research output: Contribution to journalConference articlepeer-review

Abstract

We find sufficient conditions for a robust relay delayed semiglobal stabilization for second order systems, which relate the upper bound to an uncertain time delay and the parameters of the plant. We also suggest an algorithm of delayed relay control gain adaptation for semiglobal stabilization, which is based on a delayed information about the sign of the controlled variable only. The proposed algorithm suppresses bounded uncertainties in the time delay, that is, being designed for the upper bound of uncertainty in the time delay, the control law ensures a scmiglobal stabilization independently of any variable time delay obeying the given upper bound.

Original languageEnglish
Pages (from-to)429-434
Number of pages6
JournalIFAC-PapersOnLine
Volume37
Issue number21
StatePublished - 2004
Event2nd IFAC Symposium on System Structure and Control 2004 - Oaxaca, Mexico
Duration: 8 Dec 200410 Dec 2004

Keywords

  • Robust control
  • Time delay
  • Variable structure systems

Fingerprint

Dive into the research topics of 'ROBUST SEMIGLOBAL STABILIZATION OF THE SECOND ORDER SYSTEM BY RELAY FEEDBACK WITH AN UNCERTAIN VARIABLE TIME DELAY'. Together they form a unique fingerprint.

Cite this