Homogenous polynomial H_∞ filtering for uncertain discrete-time systems: A descriptor approach

摘要

This paper focuses on the robust full-order H filter design for linear discrete-time systems with polytopic uncertainties. Less conservative robust H filter design procedures are given in terms of linear matrix inequality constraints. By using a descriptor approach, 2 sufficient conditions for the H filter analysis and design are proposed via linear matrix inequalities. The homogenous polynomial parameter-dependent Lyapunov functions are used for the asymptotic stability analysis of the system error. Finally, to demonstrate the efficiency of the proposed approach, simulation results with comparative studies are used.