Robust Dissipative Filtering for Impulsive Switched Positive Systems Described by the Fornasini-Marchesini Second Model

Abstract In this paper, the robust dissipative filtering issue is discussed for a class of impulsive switched positive systems described by the Fornasini-Marchesini second model. To be more specific, both lower- and upper-bounding filters are dexterously designed, and sufficient conditions guaranteeing the resulting filtering error systems to be positive and 2-D ( ζ , η )- α -dissipative are given in the form of linear programming. Moreover, the explicit expressions are also provided for the related filter parameters with desired system performance. Finally, the effectiveness of the proposed results is illustrated by a numerical example.