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Particle swarm based repetitive spline compensator for servo drives

Basiński K., Ufnalski B., Grzesiak L M.

Przegląd Elektrotechniczny

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2017

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R. 93, nr 2

181--187

EN

In this paper the particle swarm based repetitive spline compensator (PSBRSC), a new method of repetitive compensator implementation, is investigated. The proposed approach employs the particle swarm optimizer (PSO) to solve a dynamic optimization problem (DOP) related to the control task in a servo drive with a permanent magnet synchronous machine (PMSM) in online mode. The first novelty reported here is to use cubic spline interpolation to calculate the samples of PSBRSC signal that are located between the samples taken directly from the optimizer. Also the responsiveness of the repetitive controller is improved thanks to the introduction of the evaporation rate growth mechanism.

PL

W artykule przedstawiono kompensator splajnowo-rojowy (ang. particle swarm based repetitive spline compensator), nowa metodę realizacji kompensacji w procesach powtarzalnych. Zaproponowany układ wykorzystuje metodę roju cząstek do rozwiązywania w czasie rzeczywistym zagadnienia optymalizacji dynamicznej związanego z kształtowaniem sygnału modyfikującego uchyb regulacji w serwonapędzie z silnikiem synchronicznym z magnesami trwałymi (PMSM). Pierwszą nowością przedstawioną w artykule jest wykorzystanie interpolacji splajnowej trzeciego rzędu do wyznaczenia próbek sygnału wyjściowego kompensatora znajdujących się pomiędzy próbkami pochodzącymi bezpośrednio z optymalizatora. Ponadto szybkość reakcji kompensatora została poprawiona dzięki wprowadzeniu mechanizmu wzrostu współczynnika zapominania.

2

Plug-in direct particle swarm repetitive controller with a reduced dimensionality of a fitness landscape – a multi-swarm approach

Ufnalski B., Grzesiak L. M.

Bulletin of the Polish Academy of Sciences. Technical Sciences

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2015

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Vol. 63, nr 4

857--866

EN

The paper describes a modification to the recently developed plug-in direct particle swarm repetitive controller (PDPSRC) for the sine-wave constant-amplitude constant-frequency (CACF) voltage-source inverter (VSI). The original PDPSRC algorithm assumes that the particle swarm optimizer (PSO) takes into account a performance index defined over the whole reference signal period. Each particle stores all the samples of the control signal, e.g. α = 200 samples for a controller working at 10 kHz and the reference frequency equal to 50 Hz. Therefore, the fitness landscape (i.e. the performance index) is -dimensional ( D), which makes optimization challenging. That solution can be categorized as the single-swarm one. It has been previously shown that the swarm controller does not suffer from long-term stability issues encountered in the classic iterative learning controllers (ILC). However, the convergence of the swarm has to be kept at a relatively low rate to enable successful exploitation in the D search space, which in turn results in slow responsiveness of the PDPSRC. Here a multi-swarm approach is proposed in which we divide a dynamic optimization problem (DOP) among less dimensional swarms. The reference signal period is segmented into shorter intervals and the control signal is optimized in each interval independently by separate swarms. The effectiveness of the proposed approach is illustrated with the help of numerical experiments on the CACF VSI with an output LC filter operating under nonlinear loads.

3

A Performance Study on Synchronous and Asynchronous Update Rules for A Plug-In Direct Particle Swarm Repetitive Controller

Ufnalski B., Grzesiak L. M.

Archives of Electrical Engineering

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2014

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Vol. 63, nr 4

635--646

EN

In this paper two different update schemes for the recently developed plug-in direct particle swarm repetitive controller (PDPSRC) are investigated and compared. The proposed approach employs the particle swarm optimizer (PSO) to solve in on-line mode a dynamic optimization problem (DOP) related to the control task in the constant-amplitude constant-frequency voltage-source inverter (CACF VSI) with an LC output filter. The effectiveness of synchronous and asynchronous update rules, both commonly used in static optimization problems (SOPs), is assessed and compared in the case of PDPSRC. The performance of the controller, when synthesized using each of the update schemes, is studied numerically.