Transactions on Control, Automation and Systems Engineering

Institute of Control, Robotics and Systems (제어로봇시스템학회)
권호 표지

Fuzzy H$\infty$ Filtering for Nonlinear Systems with Time-Varying Delayed States

  • Lee, Kap-Rai (Dept. of Computer Applied Control, Doowon echnical College) ;
  • Lee, Jang-Sik (Dept. of Computer Applied Control, Doowon Technical College) ;
  • Oh, Do-Chang (Dept. of Control and Instrumentation , Konyang University) ;
  • Park, Hong-Bae (School of Electronic and Electrical Engineering , Kyungpook National University)
  • Published : 1999.12.01
Download PDF
⟨ Previous Next ⟩

Abstract

This paper presents a fuzzy H$\infty$ filtering problem for a class of uncertain nonlinear systems with time-varying delayed states and unknown inital state on the basis of Takagi-Sugeno(T-S) fuzzy model. The nonlinear systems are represented by T-S fuzzy models, and the fuzzy control systems utilize the concept of the so-called parallel distributed compensation. Using a single quadraic Lyapunov function, the stability and L2 gain performance from the noise signals to the estimation error are discussed. Sufficient conditions for the existence of fuzzy H$\infty$ filters are given in terms of linear matrix inequalities (LMIs). The filtering gains can also be directly obtained from the solutions of LMIs.

Keywords