Dissipativity analysis for fixed-point interfered digital filters

•A new criterion for the (Q, S, R)-α-dissipativity of interfered digital filters is proposed.•We present the H∞H∞ performance, passivity, and mixed H∞/passivityH∞/passivity criteria in a unified framework.•Two improved (Q, S, R)-α-dissipativity criteria are also proposed.•The criteria are described by linear matrix inequalities.

This paper is concerned with establishing a new criterion for the (Q, S, R)-α  -dissipativity of fixed-point interfered state-space digital filters with saturation overflow arithmetic. The objective of this paper is to present the H∞H∞ performance, passivity, and mixed H∞/passivityH∞/passivity criteria in a unified framework. By tuning the weight matrices, the proposed criterion reduces to the H∞H∞ performance, passivity, and mixed H∞/passivityH∞/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.