NEW ENERGY-TO-PEAK FIR FILTER DESIGN FOR SYSTEMS WITH DISTURBANCE: A CONVEX OPTIMIZATION APPROACH

This paper proposes a new energy-to-peak filter (EPF) with a finite impulse response (FIR) structure for linear systems with disturbance. The filter is referred to as an energy-to-peak FIR filter (EPFF). The energy-to-peak performance criterion is minimized in filters that show linearity, FIR structure, and quasi-deadbeat property. The EPFF can be obtained by solving a convex optimization problem represented by linear matrix inequalities (LMIs). A numerical example is given to illustrate the validity of the proposed EPFF.