Dissipative filtering for discrete fuzzy systems

Ji Chang Lo, Dong Lin Wu

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

11 Scopus citations


The goal of this paper is, via dissipative theory, to design a dissipative filter for a class of nonlinear systems described by Takagi-Sugeno (TS) fuzzy model. We first reformulate the problems in an estimation/filtering error system such that the error system is dissipatively asymptotically stable with respect to a specifically chosen quadratic supply rate. Then we derive the synthesis conditions based on Lyapunov method, leading to an LMI representation that can be numerically solved by existing LMI solvers. We demonstrate that a class of filtering problems can be formulated into a general quadratic dissipative framework. Finally the utility of the proposed method is illuminated by an example.

Original languageEnglish
Title of host publication2008 IEEE International Conference on Fuzzy Systems, FUZZ 2008
Number of pages5
StatePublished - 2008
Event2008 IEEE International Conference on Fuzzy Systems, FUZZ 2008 - Hong Kong, China
Duration: 1 Jun 20086 Jun 2008

Publication series

NameIEEE International Conference on Fuzzy Systems
ISSN (Print)1098-7584


Conference2008 IEEE International Conference on Fuzzy Systems, FUZZ 2008
CityHong Kong


  • Dissipative filter
  • Linear matrix inequality (LMI)
  • Sector-bounded nonlinearity
  • TS fuzzy models


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