Robust H, Nonlinear Control via Fuzzy Static Output Feedback

Ji Chang Lo, Min Long Lin

Research output: Contribution to journalArticlepeer-review

147 Scopus citations


An optimization technique is proposed to represent a class of nonlinear systems by a Takagi-Sugeno uncertain fuzzy model. Then, a robust H quadratic stabilization problem to the uncertain fuzzy systems via static output feedback is investigated. It is proved that the existence of a set of solvable bilinear matrix inequalities (BMIs) suffices to guarantee the quadratic stabilization of an uncertain fuzzy system in an H sense. A linear matrix inequality formulation is suggested to alleviate the difficulties of BMI that are inherited from the stabilizability problems via static output feedback control. Both continuous- and discrete-time systems are treated in a unified approach and connections to state feedback and dynamic-output feedback are addressed.

Original languageEnglish
Pages (from-to)1494-1502
Number of pages9
JournalIEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications
Issue number11
StatePublished - Nov 2003


  • Bilinear matrix inequalities (BMIs)
  • Parameterized linear matrix inequality (PLMI)
  • Static output feedback


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