2020
DOI: 10.3390/math8030326
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Improved Decentralized Fractional PD Control of Structure Vibrations

Abstract: This paper presents a new strategy for the control of large displacements in structures under earthquake excitation. Firstly, an improved fractional order proportional-derivative (FOPD) controller is proposed. Secondly, a decentralized strategy is designed by adding a regulator and fault self-regulation to a standard decentralized controller. A new control architecture is obtained by combining the improved FOPD and the decentralized strategy. The parameters of the control system are tuned using an intelligent … Show more

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Cited by 25 publications
(15 citation statements)
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“…In references [29,30], a variable coefficient fractional-order controller is proposed. is controller type can be used for renewable system control [31,32] and intelligent control systems and to improve performance of building structure vibration [33]. e stability of FOC can be verified using the root-locus method [34,35].…”
Section: Literature Reviewmentioning
confidence: 99%
“…In references [29,30], a variable coefficient fractional-order controller is proposed. is controller type can be used for renewable system control [31,32] and intelligent control systems and to improve performance of building structure vibration [33]. e stability of FOC can be verified using the root-locus method [34,35].…”
Section: Literature Reviewmentioning
confidence: 99%
“…In the past decades, there have been increasing interests in fractional‐order calculus. Since fractional‐order derivatives have the special properties of memory and hereditary, 1 fractional‐order systems described by state‐space model are widely considered 2,3 . Fractional‐order systems can describe some complex behaviors more precisely than integer‐order systems in electrical circuits, 4 viscoelastic materials, 5 and diffusion processes 6 .…”
Section: Introductionmentioning
confidence: 99%
“…The robustness and performance analysis of FO systems have attracted the attention of many researchers, with particular focus on the stability of FO uncertain linear systems. In recent years, we find considerable research on the stability and stabilization of general FO systems (Monje et al 2008;Xu et al 2020;Zou et al 2018;Chen et al 2012Ding et al 2015;Yu and Jiao 2013). For example, (Zhang et al 2015) discussed the stability of n-dimensional FO nonlinear systems with commensurate order α ∈ (0, 2).…”
Section: Introductionmentioning
confidence: 99%