New dilated LMI characterizations for continuous-time multiobjective controller synthesis

Yoshio Ebihara, Tomomichi Hagiwara

Research output: Contribution to journalArticlepeer-review

119 Citations (Scopus)


This paper provides new dilated linear matrix inequality (LMI) characterizations for continuous-time controller synthesis. The dilated LMIs enable us to parametrize controllers without involving the Lyapunov variables in the parametrizations. Taking advantage of this feature, we can readily design multiobjective controllers with non-common Lyapunov variables, whereas we are forced to employ a common one in the well-known Lyapunov shaping paradigm. In particular, it is shown that the proposed dilated-LMI-based approach to H2/D-stability synthesis encompasses the corresponding Lyapunov shaping paradigm as a special case. In this sense, the results of this paper can be viewed as partial counterparts of those obtained in the discrete-time setting.

Original languageEnglish
Pages (from-to)2003-2009
Number of pages7
Issue number11
Publication statusPublished - Nov 2004
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Electrical and Electronic Engineering


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