Robust nonfragile H∞filtering for fuzzy fractional order systems with uncertainties

The problem of robust nonfragile H∞filtering for fuzzy fractional order (FFO) systems ۰ < α < ۱ with uncertainties is studied. First, a new sufficient condition of H∞ control for fractional order systems is given to overcome the shortcoming of solving the complex matrix. Then, based on the condition and the linear matrix inequality (LMI) approach, the conditions of robust H∞ control for FFO systems are proposed, which can guarantee the prescribed noise attenuation level in the H∞ sense. Furthermore, the FFO filter is constructed, and sufficient conditions are proposed for FFO filter systems. Finally, two examples are given to verify the effectiveness of our conditions.

کلیدواژه ها:

Nonfragile H∞ filtering ، fuzzy fractional order (FFO) systems ، Linear matrix inequality (LMI)