On Convergence Performance of Discrete-Time Optimal Control Based Tracking Differentiator

Time optimal control (TOC) based tracking differentiator (TD) was first proposed by Han as a practical solution to avoid setpoint jump in active disturbance rejection control. In practice, the discrete-time optimal control (DTOC) is implemented in the form of state feedback for a double-integral sys...

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Bibliographic Details
Published inIEEE transactions on industrial electronics (1982) Vol. 68; no. 4; pp. 3359 - 3369
Main Authors Zhang, Hehong, Xiao, Gaoxi, Yu, Xinghuo, Xie, Yunde
Format Journal Article
LanguageEnglish
Published New York IEEE 01.04.2021
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Active control
Convergence
differentiation
Differentiators
discrete-time optimal control (DTOC)
filtering
Frequency-domain analysis
frequency-domain characteristics
maglev train
Magnetic leviation vehicles
Optimal control
Signal processing
Simulation
State feedback
Suspension systems
Switches
Time optimal control
Tracking control
tracking differentiator (TD)
Trajectory
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Summary:Time optimal control (TOC) based tracking differentiator (TD) was first proposed by Han as a practical solution to avoid setpoint jump in active disturbance rejection control. In practice, the discrete-time optimal control (DTOC) is implemented in the form of state feedback for a double-integral system, which is widely used to design controllers, observers and noise-tolerant differentiators. The convergence of the DTOC-TD, however, has not been fully understood. This article provides a rigorous full convergence analysis of the DTOC-TD. It then illustrates the frequency-domain characteristics of this DTOC-TD in signal-tracking filtering and differentiation acquisition, giving a rule of thumb for regulating the parameters. Finally, the case studies including comparison simulations and experiments on processing gap sensor' signals in the suspension system of maglev train are carried out to verify the effectiveness of the DTOC-TD.
ISSN:0278-0046
1557-9948
DOI:10.1109/TIE.2020.2979530