Repetitive control system for tracking and rejection of multiple periodic signals

Kurniawan, Edi; Afandi, Mohamad Imam; Suryadi, Suryadi

doi:10.1109/icoras.2017.8308058

Cited by 9 publications

(11 citation statements)

References 16 publications

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“…In this section, we presents three examples to demonstrate the efficacy of the LO-SMRC synthesized using the controller design method described in ''Proposed method'' section. Moreover, to highlight the merits of the proposed LO-SMRC, we also compare its performance with those of other relevant controllers, which have been presented in Jia et al 28 and Kurniawan et al 30,36 Example 1: a servomotor We now present an example of a Quanser servomotor 37 perturbed by periodic disturbances and controlled using the LO-SMRC. The servomotor dynamics is modeled as a discrete-time linear system as follows…”

Section: Resultsmentioning

confidence: 99%

“…We further evaluate the effectiveness of the proposed LO-SMRC by comparing its performance with those of a SMC 36 and a multiperiod repetitive controller (MP-RC). 30 The expressions of the SMC and the MP-RC are, respectively, presented in equations ( 71) and (72) as follows SMC :…”

Section: Resultsmentioning

confidence: 99%

“…Then, we apply the control law (equation ( 26)) into equation (30) to obtain the quasi-sliding mode dynamics as follows…”

Section: Stability Analysismentioning

confidence: 99%

“…If the disturbance signal is composed of multiple fundamental frequencies, then the conventional RC with the internal model (11) is still applicable by choosing a basis frequency from those multiple frequencies. Another approach is by applying a multi-period internal model 30…”

Section: Problem Formulation and Preliminariesmentioning

confidence: 99%

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Low-order sliding mode repetitive control for uncertain linear systems perturbed by band-limited periodic disturbances

Kurniawan¹,

Pratiwi²,

Harno

et al. 2023

Proceedings of the Institution of Mechanical Engineers, Part I:

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This article presents a systematic method for designing discrete-time low-order sliding mode repetitive controller for a class of uncertain linear systems. A linear system considered in this class is perturbed by band-limited periodic disturbances and parametric uncertainties. The digital controller design method we propose combines two control strategies, namely the repetitive control and the sliding mode control techniques. The proposed controller is required to be low order and is intended to reject the periodic disturbances with specific dominant frequencies and to establish robustness against plant parametric uncertainties. Moreover, the proposed method yields a repetitive controller with only a small number of delay terms and can perform fast transient responses. We show through mathematical analyses that the linear system applying the low-order sliding mode repetitive controller satisfies sliding mode stability and robustness criteria. In addition, we demonstrate via a numerical example that a servomotor controlled by the low-order sliding mode repetitive controller can track a frequency-shifted triangular signal with a short transient period and minor errors. Other examples are also presented and show that the low-order sliding mode repetitive controller exhibits better performance than other relevant control methods.

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Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

“…Then, we apply the control law (equation ( 26)) into equation (30) to obtain the quasi-sliding mode dynamics as follows…”

Section: Stability Analysismentioning

confidence: 99%

Section: Problem Formulation and Preliminariesmentioning

confidence: 99%

See 2 more Smart Citations

Low-order sliding mode repetitive control for uncertain linear systems perturbed by band-limited periodic disturbances

Kurniawan¹,

Pratiwi²,

Harno

et al. 2023

Proceedings of the Institution of Mechanical Engineers, Part I:

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show abstract

“…Weiss et al [14] presented a general repetitive control design procedure for MIMO linear plants in continuous time. For systems suffering from limited control input a solution was proposed in [15]. In [16]- [18] the stability conditions discussed in [3] were extended to nonlinear systems and in [19] Ghosh et al described a finitedimensional SISO repetitive controller which does not posses a time-delay component for two different classes of nonlinear plants.…”

Section: B Repetitive Controlmentioning

confidence: 99%

Internal Model Controller to Attenuate Periodic Disturbance of a First-Order Time-Delay System

Yuksel

Bušek

Niculescu

et al. 2021

2021 European Control Conference (ECC)

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A controller design based on the internal model control principle is introduced as an alternative to the repetitive control structure to attenuate the periodic disturbance. Such a disturbance phenomenon is observed for example in hot rolling mills due to roll eccentricity and is considered here as a motivation example. The emphasis is on the analytic design of the filter and on the time-delay parameter within the controller. By these two components, the controller action is tuned to achieve a zero gain and synchronized time shift to compensate completely the periodic disturbance. The overall procedure is validated by simulations on a model identified from real process data.

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Design and Comparison of RC, RC-PD and RC-PID Controller Architectures in a Servo-Motor System

Mohapatra

Gupta

Dey

et al. 2022

Advances in Communication, Devices and Networking

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Repetitive control system for tracking and rejection of multiple periodic signals

Cited by 9 publications

References 16 publications

Low-order sliding mode repetitive control for uncertain linear systems perturbed by band-limited periodic disturbances

Low-order sliding mode repetitive control for uncertain linear systems perturbed by band-limited periodic disturbances

Internal Model Controller to Attenuate Periodic Disturbance of a First-Order Time-Delay System

Design and Comparison of RC, RC-PD and RC-PID Controller Architectures in a Servo-Motor System

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