Energy-to-peak filtering for TS fuzzy systems with Markovian jumping: The finite-time case
This paper studies the robust finite-time energy-to-peak filtering problem for a class of uncertain nonlinear Markovian jumping systems (MJSs) with energy constraint external disturbances. The TakagiSugeno (TS) fuzzy model is employed to represent the nonlinear MJSs. By selecting the appropriate LyapunovKrasovskii functional, a sufficient condition is derived such that the filtering error dynamic fuzzy MJSs are finite-time stable and have a prescribed level of L2L? disturbance attenuation in a finite time-interval. The sufficient condition on the existence of robust finite-time energy-to-peak fuzzy filtering criterion is formulated in the form of linear matrix inequalities and the designed finite-time energy-to-peak fuzzy filter is described as an optimization one. A numerical example is given to illustrate the effectiveness of the proposed design approach.
energy-to-peak filtering markovian jumping systems finite-time stable uncertainties takagisugeno fuzzy models