New LMI formulation for observed-state feedback stabilization

Ji Chang Lo, Chin Hung Cho, Hak Keung Lam

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Scopus citations

Abstract

Based on recent results on homogeneous polynomially parameter-dependent (HPPD) solutions to parameter-dependent LMIs (PD-LMIs), we investigate a new LMI formulation for an observed-state feedback comprising of matrix-valued HPPD functions of degree g, deriving a testable LMI condition that is sufficient and asymptotically necessary to existence of a quadratic Lyapunov function assuring quadratical stability. The main contribution of this paper is that the families of finite-dimensional LMI are parameterized in term of the polynomial degree d. As d increases, more and more sufficient LMI conditions are generated, being easier satisfied due to more freedom provided by the new variables involved. An example using new designs to illustrate the LMI relaxation is provided.

Original languageEnglish
Title of host publicationProceedings 2012 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2012
Pages2218-2223
Number of pages6
DOIs
StatePublished - 2012
Event2012 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2012 - Seoul, Korea, Republic of
Duration: 14 Oct 201217 Oct 2012

Publication series

NameConference Proceedings - IEEE International Conference on Systems, Man and Cybernetics
ISSN (Print)1062-922X

Conference

Conference2012 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2012
Country/TerritoryKorea, Republic of
CitySeoul
Period14/10/1217/10/12

Keywords

  • Filter design
  • Homogeneous polynomially parameter-dependent (HPPD) solutions
  • Parameter-dependent linear matrix inequality (PD-LMI)
  • TS (Takagi-Sugeno) fuzzy models

Fingerprint

Dive into the research topics of 'New LMI formulation for observed-state feedback stabilization'. Together they form a unique fingerprint.

Cite this