A dilated LMI approach to continuous-time gain-scheduled controller synthesis with parameter-dependent Lyapunov variables

Yoshio Ebihara, Kazuki Tomioka, Tomomichi Hagiwara

Research output: Contribution to journalConference article

Abstract

This paper is concerned with the gain-scheduled controller synthesis for linear parameter varying (LPV) systems. In the case where the state space matrices of the system depend afrinely on the time-varying parameters, the standard linear matrix inequalities (LMI's) are helpful in dealing with such problems provided that we accept the notion of quadratic stability. However, in the case of rational parameter dependence, the standard LMI's carry some deficiency and do not lead to numerically tractable conditions in a straightforward fashion. This paper clarifies that recently developed dilated LMI's are effective in overcoming the difficulties and deriving numerically tractable conditions The dilated LMI's enable us also to employ parameterdependent Lyapunov variables to achieve control objectives, which are known to be promising to alleviate the conservatism stemming from a quadratic (parameter-independent) Lyapunov variable.

Original languageEnglish
Pages (from-to)401-406
Number of pages6
JournalIFAC Proceedings Volumes (IFAC-PapersOnline)
Volume36
Issue number11
DOIs
Publication statusPublished - Jan 1 2003
Externally publishedYes
Event4th IFAC Symposium on Robust Control Design, ROCOND 2003 - Milan, Italy
Duration: Jun 25 2003Jun 27 2003

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering

Fingerprint Dive into the research topics of 'A dilated LMI approach to continuous-time gain-scheduled controller synthesis with parameter-dependent Lyapunov variables'. Together they form a unique fingerprint.

  • Cite this