Computation of the H₂/H_∞ Norms of 2-D Discrete Systems Based on LMI

Abstract

This paper presents methods for computing the H_∞ and H₂ norms of 2-D discrete systems. Both methods are based on LMI (Linear Matrix Inequalities), and hence, they are computationally tractable. In deriving these methods, finite-order Fourier series approximation of the solution for frequency-dependent LMI plays a key role. Numerical examples are also studied.