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High-precision tracking differentiator via generalized discrete-time optimal control.

Hehong Zhang1, Yunde Xie2, Longhua She2

  • 1Interdisciplinary Graduate School, Nanyang Technological University, Singapore.

ISA Transactions
|May 25, 2019
PubMed
Summary
This summary is machine-generated.

A new tracking differentiator (TD) offers high precision for signal tracking and filtering. This enhanced discrete-time optimal control (DTOC) method improves real-time synchrophasor estimations, even with noisy data.

Keywords:
Computational complexityDifferentiation acquisitionDiscrete-time optimal control (DTOC)EstimationFilteringTrackingTracking differentiator (TD)

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Area of Science:

  • Control Systems Engineering
  • Signal Processing
  • Applied Mathematics

Background:

  • Accurate signal differentiation and filtering are crucial for real-time systems.
  • Existing tracking differentiators (TDs) face limitations in precision and performance.
  • Discrete-time optimal control (DTOC) offers a framework for designing advanced control laws.

Purpose of the Study:

  • To propose an enhanced discrete-time tracking differentiator (TD) with high precision.
  • To leverage discrete-time optimal control (DTOC) and the Isochronic Region approach for TD design.
  • To validate the proposed TD's performance against existing methods and for real-time applications.

Main Methods:

  • Developed a DTOC law as state feedback for a double-integral system using the Isochronic Region approach.
  • Incorporated a zero-order hold on the control signal to enhance discretization model precision.
  • Extended the DTOC law for TD design by integrating system states with desired trajectories.

Main Results:

  • The proposed TD demonstrated superior performance and higher precision in signal-tracking filtering and differentiation compared to three existing TDs.
  • Analysis confirmed the general form of the DTOC law through boundary transformations.
  • Computational complexity comparisons showed efficiency of the proposed DTOC law.

Conclusions:

  • The enhanced TD provides high precision for signal tracking and differentiation.
  • The proposed method is suitable for real-time synchrophasor estimations using phasor measurement units data, especially in noisy conditions.
  • The DTOC-based approach offers a robust solution for advanced signal processing tasks.