ℋ∞ optimization of an integral force feedback controller. (September 2019)

• Record Type: Journal Article
• Authors: Zhao, G.; Paknejad, A.; Deraemaeker, A.; Collette, C.
• Is Part Of: Journal of vibration and control. Volume 25:Number 17(2019)
• Page Start: 2330
• Page End: 2339
• Publication Date: 2019-09
• Subjects: Integral force feedback -- ℋ∞ -- optimization -- closed-form; Vibration -- Periodicals; Damping (Mechanics) -- Periodicals; 620.3
• DOI: 10.1177/1077546319853165
• Languages: English
• ISSNs: 1077-5463

Abstract

This paper studies the performance of the classical integral force feedback (IFF) controller for suppressing the forced response of a single degree of freedom (SDOF) system. An ℋ∞ optimization criterion is used to derive the optimal feedback gain of the IFF controller contributed as a complement for the state of the art. This optimal gain is calculated in the closed-form based on a SDOF system which is then applied to a two degrees of freedom system to study its adaptability. It is found that the ℋ∞ optimal gain can be easily transposed into multi-degrees of freedom applications without introducing too many errors. An equivalent mechanical model is also developed to enable a straightforward interpretation of the physics behind the IFF controller.