Design of a Discrete-time Repetitive Controller for Periodic Disturbances

Zhao, Fu; Yao, Xiuming; Liu, Yu; Bao-ku, SU

doi:10.1109/jcai.2009.212

Cited by 3 publications

(2 citation statements)

References 10 publications

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“…Chen et al [9] presented a tutorial on iterative learning control (ILC) and repetitive control (RC) techniques in hard disc drive (HDD) industry for compensation of repeatable run-outs (RRO). A 2D system setting to develop new results on iterative learning control [10] for linear SISO plants were presented by Hladowski et al Since digital implementation of repetitive controller is simple than analog one in many industrial applications, Zhao et al [11] presented some design criteria for a discrete time repetitive controller to suppress periodic disturbances within a specified frequency range. The first attempt to implement repetitive control strategy in liquid level systems was done by Vijayakarthick et al in 2009 [12].…”

Section: List Of Symbolsmentioning

confidence: 99%

Repetitive controller: an advanced servomechanism for periodic reference input

Mondal¹,

Sengupta

Roy

2015

Int. J. Dynam. Control

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The presented work envisaged to explore the possibility of implementing a repetitive control strategy along with a proportional (P) controller for a liquid level system (LLS) in real time to track a periodic reference command. The objective of this paper is to validate the servo mechanism (accurate tracking) and periodic disturbance attenuating property of repetitive control (RC) along with P control system. The whole effort is divided in to two distinct parts. In the first part, the controller and plant are modeled, developed and experimented in software. The tracking performance and stability measure of the plant has been studied with inclusion of repetitive controller (RC) in presence of P controller and compared with conventional P and PI controller in both time and frequency domain subjected to periodic command to establish the usefulness of the RC-P control using simulation. The limitation of the first part is due to the consideration of all ideal condition of experimentation like ideal source, ideal plant etc. In the second part of this work the limitation of the first part of taking all ideal condition is avoided through the development of a real time experimentation setup. In this section, software model of LLS is replaced by its analogous electrical circuit. Emulation of the actual hardware plant is carried out interfaced through DAC NI6221 with PC using LabVIEW for better and flexible experimenting environment.Controller In Loop is done to conduct all experiments with actual source of reference and actual hardware plant. The effectiveness of RC with P controller for periodic reference input is shown through simulation and validated through real time experimentation. KeywordsLiquid level system · Repetitive controller · Repetitive proportional controller · Data acquisition card · Controller in loop List of symbols H (s) Head of water level Q i (s) liquid in flow rate in Laplace domain G lls Transfer function of LLS R Resistance of output valve of the process C Capacitance of tank = cross section area of tank τ = RC time constant of the system Y (s) Output in Laplace domain U (s) Input in Laplace domain T d Associated time delay k P System gain u(t) = A sin(ωt) Sinusoidal input y(t) = B sin(ωt + φ) Output A Amplitude of the input sinusoid B

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Section: List Of Symbolsmentioning

confidence: 99%

Repetitive controller: an advanced servomechanism for periodic reference input

Mondal¹,

Sengupta

Roy

2015

Int. J. Dynam. Control

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“…A 2D system setting to develop new results on iterative learning control for linear single-inputsingle-output (SISO) plants was presented by Hladowski et al (2009). As digital implementation of RC is simple than analogue in many industrial applications, Zhao et al (2009) presented some design criteria for a discrete-time RC to suppress periodic disturbances within a specified frequency range. The first attempt to implement RC strategy in liquid level systems (LLSs) was done by Vijaykarthick et al (2009).…”

Section: Introductionmentioning

confidence: 99%

Servomechanism for periodic reference input: Discrete wavelet transform-based repetitive controller

Mondal¹,

Sengupta

Pathak

2014

Transactions of the Institute of Measurement and Control

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The presented work explored the possibility of developing a discrete wavelet transform-based repetitive control (DWTRC) strategy along with a proportional controller for a liquid level system (LLS) to track a periodic reference signal. The modified DWTRC with a P control system is a type of servo mechanism, effective for periodic reference input. The entire effort derives from two distinct parts. First, the tracking performance and stability measure of the system with inclusion of a repetitive controller (RC) in presence of P controller that has been studied and compared with conventional P and PI controllers in both time and frequency domains, subjected to periodic command to establish the usefulness of the former. The most obvious disadvantage of the RC with P control is the requirement of large memory for the presence of RC, and the memory requirement linearly increases with both repetition time and sampling frequency. Second, to overcome this difficulty, deployment of the discrete wavelet transform (DWT) in the RC loop is done to reduce the problem of memory requirement, and ensures efficient and high-speed computation due to the filtering and data reduction property of DWT. Finally, the effectiveness of DWTRC is validated through saving memory and optimizing the tracking error with variation of the wavelet order and its decomposition level.

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Design and implementation of compound current control strategy for improved LCL-based Shunt Active Power Filter

Zhong

Lei

Chen

et al. 2012

IECON 2012 - 38th Annual Conference on IEEE Industrial Electronics Society

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Shunt Active Power Filters (APFs) are powerful in harmonic elimination and reactive power compensation in distribution network. The APF prototype discussed in this paper is based on conventional three-leg converter with an improved LCL filter in the ac side, which consists of a LC resonant branch and is tuned at switching frequency. It is helpful to suppress switching ripple injected to the grid and reduce the power loss in the damping resistor. What's more, a compound current control strategy with an outer loop of repetitive control and an inner one of Proportional-Integral (PI) control is adopted. The inner loop is used to guarantee the dynamic response, and the outer one is designed to redeem the inherent phase lag of inner loop.Consequently, excellent harmonic current tracking performance both in steady-state and dynamical-state are achieved.Experimental results of the laboratory prototype prove its feasibility and efficiency.

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Design of a Discrete-time Repetitive Controller for Periodic Disturbances

Cited by 3 publications

References 10 publications

Repetitive controller: an advanced servomechanism for periodic reference input

Repetitive controller: an advanced servomechanism for periodic reference input

Servomechanism for periodic reference input: Discrete wavelet transform-based repetitive controller

Design and implementation of compound current control strategy for improved LCL-based Shunt Active Power Filter

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