Reduced-Order H_∞ Filters for Uncertain 2-D Continuous Systems, Via LMIs and Polynomial Matrices

摘要

This paper deals with designing H_∞ filters of reduced order for two dimensional (2-D) continuous systems described by Roesser models, with uncertain state space matrices. These niters are characterized in terms of linear matrix inequalities (LMI), to minimize a bound on the H_∞ noise attenuation, by using homogeneous polynomially parameter-dependent matrices of arbitrary degree. The methodology is also particularized for full order and zero order (static) filters, where more simple LMI conditions are derived. Numerical examples are presented to illustrate the proposed methodology.