$cal H_infty$FIR Filters for Linear Continuous-Time State–Space Systems

In this letter, we propose a new Hscr
_infin
filter (HF) with a finite impulse response (FIR) structure for linear continuous-time state-space systems. This filter is called the Hscr
_infin
FIR filter (HFF). The upper bound for an Hscr
_infin
performance criterion is derived and then minimized among the filters with linearity, FIR structure, and quasideadbeat property. The HFF is obtained by solving the differential Riccati equation. We show through simulations that the HFF is more robust against temporary uncertainties and is faster in convergence than a conventional HF