Sampled-Data <inline-formula> <tex-math notation="LaTeX">$H_\infty$ </tex-math></inline-formula> Fuzzy Observer for Uncertain Oscillating Systems With Immeasurable Premise Variables

Abstract

This paper proposes a sampled-data H∞ fuzzy observer technique for nonlinear uncertain oscillating systems that are represented by the Takagi-Sugeno fuzzy model. The observers are designed for two cases: a measurable premise variable and an immeasurable premise variable. The error system between the nonlinear uncertain system and the sampled-data observer is constructed. The H∞ performance function for the oscillating system is defined and is guaranteed in the Lyapunov sense. Sufficient conditions for the H∞ sampled-data fuzzy observer are given in terms of linear matrix inequalities. Finally, the feasibility of the proposed technique is shown using two simulation examples.

Keywords

• H∞ fuzzy observer%22%2C%22default_operator%22%3A%22AND%22%7D%7D%7D"> <italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">H</italic>∞ fuzzy observer
• sampled-data system
• uncertain oscillating system
• Takagi–Sugeno (T–S) fuzzy model
• linear matrix inequality (LMI)