Robust controller synthesis with parameter-dependent Lyapunov variables: A dilated LMI approach

Yoshio Ebihara, Tomomichi Hagiwara

Research output: Contribution to journalConference article

22 Citations (Scopus)

Abstract

This paper enhances our previous results on dilated LMI's so that we can address robust controller synthesis problems for continuous-time LTI systems subject to real polytopic uncertainties. The replacement of a constant scalar involved in the previous dilated LMI's by an adjustable parameter is the key to accomplish this extension. The particular form of the extension enables the use of parameter-dependent Lyapunov variables in such a sound way that an advantage of the dilated LMI approach is ensured explicitly in attacking such robust controller synthesis problems. Namely, the dilated LMI approach is shown to achieve better (no worse) results than the conventional one which is restricted to parameter-independent Lyapunov variables, provided that the adjustable parameter is taken to meet a certain simple condition.

Original languageEnglish
Pages (from-to)4179-4184
Number of pages6
JournalProceedings of the IEEE Conference on Decision and Control
Volume4
Publication statusPublished - Dec 1 2002
Externally publishedYes
Event41st IEEE Conference on Decision and Control - Las Vegas, NV, United States
Duration: Dec 10 2002Dec 13 2002

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LMI Approach
Lyapunov
Synthesis
Controller
Continuous time systems
Controllers
Dependent
Acoustic waves
Polytopic Uncertainty
Continuous-time Systems
Replacement
Scalar
Uncertainty

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Modelling and Simulation
  • Control and Optimization

Cite this

Robust controller synthesis with parameter-dependent Lyapunov variables : A dilated LMI approach. / Ebihara, Yoshio; Hagiwara, Tomomichi.

In: Proceedings of the IEEE Conference on Decision and Control, Vol. 4, 01.12.2002, p. 4179-4184.

Research output: Contribution to journalConference article

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