Robust H∞ Filtering of 2D Roesser Discrete Systems: A Polynomial Approach

Abstract EN

The problem of robust H∞ filtering is investigated for the class of uncertain two-dimensional (2D) discrete systems described by a Roesser state-space model.

The main contribution is a systematic procedure for generating conditions for the existence of a 2D discrete filter such that, for all admissible uncertainties, the error system is asymptotically stable, and the H∞ norm of the transfer function from the noise signal to the estimation error is below a prespecified level.

These conditions are expressed as parameter-dependent linear matrix inequalities.

Using homogeneous polynomially parameter-dependent filters of arbitrary degree on the uncertain parameters, the proposed method extends previous results in the quadratic framework and the linearly parameter-dependent framework, thus reducing its conservatism.

Performance of the proposed method, in comparison with that of existing methods, is illustrated by two examples.