Passivity Based Stability Condition for Interefered Digital Filters

Xavier Arockiaraj (Indian Institution of Information Technology, Design and Manufacturing Kancheepuram)
Priyanka Kokil (Indian Institution of Information Technology, Design and Manufacturing Kancheepuram)
Haranath Kar (Motilal Nehru National Institute of Technology Allahabad, Allahabad-211004)

Indonesian Journal of Electrical Engineering and Computer Science
Vol 6, No 2: May 2017

This paper presents a new passivity condition for fixed-point state-space interfered digital filters using saturation arithmetic. Passivity is a way to characterize input-output stability of a system, that is, supplied bounded input energy produces bounded output energy. The presented criterion also ensures asymptotic stability of the state-space digital filter with zero external disturbances. The result is expressed in terms of linear matrix inequality, and therefore, can be solved via existing numerical packages. A numerical example is arranged to validate the usefulness of the proposed method.