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Title: High-precision tracking differentiator via generalized discrete-time optimal control
Authors: Zhang, Hehong
Xie, Yunde
She, Longhua
Zhai, Chao
Xiao, Gaoxi
Keywords: Engineering::Electrical and electronic engineering
Issue Date: 2019
Source: Zhang, H., Xie, Y., She, L., Zhai, C., & Xiao, G. (2019). High-precision tracking differentiator via generalized discrete-time optimal control. ISA Transactions, 95, 144–151. doi:10.1016/j.isatra.2019.05.002
Journal: ISA transactions 
Abstract: An enhanced discrete-time tracking differentiator (TD) with high precision based on discrete-time optimal control (DTOC) law is proposed. This law takes the form of state feedback for a double-integral system that adopts the Isochronic Region approach. There, the control signal sequence is determined by a linearized criterion based on the position of the initial state point on the phase plane. The proposed control law can be easily extended to the TD design problem by combining the first-state variable of the double-integral system with the desired trajectory. To improve the precision of the discretization model, we introduced a zero-order hold on the control signal. We also discuss the general form of DTOC law by analysing the relationship between boundary transformations and boundary characteristic points. After comparing the simulation results from three different TDs, we determined that this new TD achieves better performance and higher precision in signal-tracking filtering and differentiation acquisition than do existing TDs. Also the comparisons of the computational complexities between the proposed DTOC law and normal one are demonstrated. For confirmation of its utility, we processed raw phasor measurement units data via the proposed TD. In the absence of complex power system modelling and historical data, it was verified that the proposed TD is suitable for applications of real-time synchrophasor estimations, especially when the states are corrupted by noise.
ISSN: 0019-0578
DOI: 10.1016/j.isatra.2019.05.002
Rights: © 2019 ISA. All rights reserved. This paper was published by Elsevier Ltd in ISA transactions and is made available with permission of ISA.
Fulltext Permission: embargo_20211231
Fulltext Availability: With Fulltext
Appears in Collections:IGS Journal Articles

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