Finite-Time Peak-To-Peak Filtering for Nonlinear Singular System

In this brief, the finite-time peak-to-peak filter design problem is investigated for discrete-time nonlinear singular system. The T-S fuzzy model is introduced to represent the considered nonlinear system. First, a useful analysis method is proposed to detect whether the resulting filtering error system is singular finite-time bounded and guarantees the peak-to-peak performance. Further, in order to cope with the difficulty caused by the special form of filtering error system, we propose a novel filter form which facilitates the elimination of the coupling items in the filter design. And based on this, the sufficient design scheme for finite-time peak-to-peak filter is formulated by means of standard linear matrix inequality technique. Finally, a tunnel diode circuit is used to illustrate the feasibility and effectiveness of the developed algorithm.