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

Abstract

In this letter, we propose a new Hscr <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">infin</sub> filter (HF) with a finite impulse response (FIR) structure for linear continuous-time state-space systems. This filter is called the Hscr <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">infin</sub> FIR filter (HFF). The upper bound for an Hscr <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">infin</sub> 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