Dissipativity analysis for fixed-point interfered digital filters

Abstract

This paper is concerned with establishing a new criterion for the (Q S, R)-alpha-dissipativity of fixed-point interfered state-space digital filters with saturation overflow arithmetic. The objective of this paper is to present the H-infinity performance, passivity, and mixed H-infinity/passivity criteria in a unified framework. By tuning the weight matrices, the proposed criterion reduces to the H-infinity performance, passivity, and mixed H-infinity/passivity criteria. Improved criteria are also proposed for reducing the conservatism of the proposed criterion. These criteria are expressed with linear matrix inequalities (LMIs). A numerical example shows the effectiveness of the proposed results. (C) 2014 Elsevier B.V. All rights reserved.