Frequency domain properties of reset systems with multiple reset anticipations. Issue 6 (1st April 2013)

• Record Type: Journal Article
• Authors: Prieto, José Antonio González; Barreiro, Antonio; Dormido, Sebastián
• Is Part Of: IET control theory & applications. Volume 7:Issue 6(2013)
• Page Start: 796
• Page End: 809
• Publication Date: 2013-04-01
• Subjects: Fourier analysis -- frequency‐domain analysis -- harmonic analysis -- linear systems -- signal processing; frequency domain properties -- multiple reset anticipations -- reset controller -- linear system -- reset condition -- tracking error signal zero crossing -- zero resetting action -- fundamental linear limitations -- frequency‐domain framework -- reset control system generalisation -- Fourier harmonics -- frequency‐domain limitations -- Bode gain‐phase relation; Fourier analysis -- frequency‐domain analysis -- harmonic analysis -- linear systems -- signal processing; frequency domain properties -- multiple reset anticipations -- reset controller -- linear system -- reset condition -- tracking error signal zero crossing -- zero resetting action -- fundamental linear limitations -- frequency‐domain framework -- reset control system generalisation -- Fourier harmonics -- frequency‐domain limitations -- Bode gain‐phase relation; Control theory -- Periodicals; Automatic control -- Periodicals; 629.8312
• DOI: 10.1049/iet-cta.2011.0498
• Languages: English
• ISSNs: 1751-8644

Abstract

Abstract : A reset controller is a controller that operates most of the time as a linear system, except when some condition holds. The typical reset condition is the zero crossing of the tracking error signal, e ( t ) = 0. At this moment, the controller performs a zero resetting action on its state. It has been shown that reset control is able to overcome fundamental linear limitations. This article studies, within a frequency‐domain framework, the generalisation of reset control systems based on including some anticipation on the reset condition.This has a favourable phase lead effect. The paper discusses different reset anticipations schemes, including multiple reset actions in the same period, computes Fourier harmonics and describing function of general reset controllers and shows explicitly the overcoming of frequency‐domain limitations (Bode's gain–phase relation).