Repetitive control for systems with uncertain period-time

Steinbuch, M Maarten

doi:10.1016/s0005-1098(02)00134-6

Cited by 280 publications

(230 citation statements)

References 17 publications

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“…The repetitive controller M is an addon device which generates infinite amplification at the harmonics of the excitation frequency ω 0 [Steinbuch, 2002]. The function relating the input signal e(t) of the memory loop to the excitation signal p(t) is given by…”

Section: Repetitive Controlmentioning

confidence: 99%

Measuring the higher order sinusoidal input describing functions of a non-linear plant operating in feedback

Nuij

Steinbuch

Bosgra

2008

Control Engineering Practice

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In this paper two measuring techniques are presented for measuring the Higher Order Sinusoidal Input Describing Functions (HOSIDF) of a non-linear plant operating in feedback. The HOSIDF relate the magnitude and phase of the harmonics of the periodic response of a non-linear system to the magnitude and phase of the sinusoidal excitation. In a controlled system the harmonics generated by the non-linear system will be fed back to the input changing the sinusoidal excitation into a harmonic excitation. The first method applies linear techniques to compensate the bias caused by the harmonic components in the excitation signal. The second method uses a modified repetitive control scheme to suppress the harmonic components in the excitation signal. The effectiveness of both methods is tested in simulations of a mass subjected to Coulomb friction, Stribeck-effect and hysteresis in the pre-sliding regime. The friction forces are modeled with the modified Leuven friction model. The results are compared with the HOSIDF simulated under open loop condition. Both methods prove able to produce reliable results.

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Section: Repetitive Controlmentioning

confidence: 99%

Measuring the higher order sinusoidal input describing functions of a non-linear plant operating in feedback

Nuij

Steinbuch

Bosgra

2008

Control Engineering Practice

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“…Even the varying frequency disturbance scenario, typical in applications such as rolling machines and magnetic tape drives, has been also discussed [34,35]. Thus, methods related to adaptive control [36,37], repetitive control [38,39], backstepping [40], among others, have been used providing solid results.…”

Section: Introductionmentioning

confidence: 99%

Asymptotic rejection of sinusoidal disturbances based voltage balance control in back-to-back power converters

Umbría

Gordillo

Salas

et al. 2013

Int. J. Robust. Nonlinear Control

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SUMMARYThis paper addresses the imbalance problem of the dc-link capacitor voltages in the three-level diodeclamped back-to-back power converter. In order to cope with it, a mathematical analysis of the capacitor voltage difference dynamics, based on a continuous model of the converter, is first carried out. It leads to an approximated model which contains explicitly several sinusoidal functions of time. In view of this result, the voltage imbalance phenomenon can be addressed as an output regulation problem, considering the sinusoidal functions as exogenous disturbances. Thus, a novel approach to deal with the mentioned problem in the backto-back converter is presented. Then, the particular features of the disturbances are used to design several controllers. They all follow an asymptotic disturbance rejection approach. In this way, the estimations of the disturbances are used to apply a control law that cancels them while regulating the capacitor voltage balance as well. Finally, the performance of the proposed control laws is evaluated, presenting the simulation results obtained when the different controllers are implemented.

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“…Vários destes trabalhos estão relacionados com teoria de controle (Steinbuch, 2002;Gupta and Lee, 2006;Pipeleers et al, 2008; e mecatrônica (Manayathara et al, 1996;Hillerstrom, 1996;Cao and Ledwich, 2002;Fujimoto, 2009). Com relação a aplicação de CRs em inversores PWM tem-se alguns trabalhos tais como os de (Tzou et al, 1997;Olm, Ramos, Costa-Castelló and Cardoner, 2010;Jung et al, 1998;?…”

Section: Introductionunclassified

Análise comparativa de controladores repetitivos modificados para aplicação em inversores PWM

Michels¹,

Stefanello

Gründling³

2012

Sba Controle & Automação

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Comparative Analysis of Modified Repetitive Controllers for Applications in PWM InvertersConventional repetitive controllers are not suitable for applications were reference or disturbances are periodic where its fundamental frequency is subject to variation. However, this is a situation commonly encountered in applications of pulse-width modulated inverters feeding nonlinear loads or connected to the grid. Several approaches to mitigate this problem have been proposed in the literature, but there is no studies with comparative analysis among them. This paper provides a comparative analysis of three modified repetitive controllers developed to solve this problem. The following methods are covered in the analysis: i) continuous adjustment of the sampling rate; ii) truncation of the number of samples per reference cycle to the nearest integer and iii) adjustment of a fictitious sampling rate in order to maintain constant the number of samples of the controller per reference cycle. These existing approaches are depicted in details

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Repetitive control for systems with uncertain period-time

Cited by 280 publications

References 17 publications

Measuring the higher order sinusoidal input describing functions of a non-linear plant operating in feedback

Measuring the higher order sinusoidal input describing functions of a non-linear plant operating in feedback

Asymptotic rejection of sinusoidal disturbances based voltage balance control in back-to-back power converters

Análise comparativa de controladores repetitivos modificados para aplicação em inversores PWM

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