Multi-sinusoidal disturbance rejection for discrete-time uncertain stable systems. (May 2017)

• Record Type: Journal Article
• Authors: Tomei, Patrizio
• Is Part Of: Automatica. Volume 79(2017)
• Page Start: 144
• Page End: 151
• Publication Date: 2017-05
• Subjects: Linear discrete-time systems -- Disturbance rejection -- Uncertain systems -- Unknown frequencies; Automatic control -- Periodicals; Automation -- Periodicals; 629.805
• DOI: 10.1016/j.automatica.2017.01.038
• Languages: English
• ISSNs: 0005-1098

Abstract

Abstract: Linear single-input single-output discrete-time systems P ( z ) with unknown parameters, order and relative degree are considered, which are perturbed by biased sinusoidal disturbances. Under the assumption that the disturbance frequencies, the sign of the static gain P ( 1 ), the sign of either Re [ P ( e j ω i ) ] or Im [ P ( e j ω i ) ], for any disturbance frequency ω i, are known, linear disturbance compensators are proposed which achieve exponential disturbance suppression. Such results are then locally extended to the case of disturbances with unknown frequencies.