$H_{\infty }$ Filtering for Continuous-Time T–S Fuzzy Systems With Partly Immeasurable Premise Variables
针对T-S模糊系统中部分前提变量不可测的问题，提出一种利用可测前提变量构造模糊滤波器的新方案，并基于新线积分模糊Lyapunov函数给出H∞滤波器设计的凸条件，相比现有方法能更充分利用可测信息，降低保守性。
This paper is concerned with the H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> filtering problem for T-S fuzzy systems with partly immeasurable premise variables. By using measurable premise variables of fuzzy models as the premise variables of fuzzy filters, a new fuzzy filter scheme is constructed. Further based on the new filter scheme and a class of new line integral fuzzy Lyapunov functions, a convex condition for designing H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> filters is proposed. In contrast to the existing approaches, the new condition can take full use of measurable premise variables for less conservative design. A numerical example is given to illustrate the effectiveness of the proposed method.