A Complex Repetitive Controller Based on the Generalized Delayed Signal Cancelation Method

Zimann, Felipe Joel; Neto, Rafael C.; Neves, Francisco A. S.; Souza, Helber E. P. de; Batschauer, Alessandro Luiz; Rech, Cassiano

doi:10.1109/tie.2018.2847661

Cited by 18 publications

(21 citation statements)

References 18 publications

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“…In other words, U α (s) depends on U β (s) and vice versa. This same characteristic can be seen in the complex RCs proposed in (Luo et al 2016) and (Zimann et al 2019). However, when considering a space vector notation, complex controllers are designed considering a complex SISO system.…”

Section: Coupling Between The˛andˇstationary Axesmentioning

confidence: 68%

“…Fig. 9 Magnitude plots of the complex RC proposed by (Zimann et al 2019) and real RC proposed by (Neto et al 2018c) to control the families (6k + 1, k ∈ Z) and (6k ± 1, k ∈ N), respectively There are several proposals in the literature of real RCs that can control the generic family (nk ± m, k ∈ N), e.g., the schemes in Fig. 4f, g.…”

Section: Complex Rcmentioning

confidence: 99%

“…If the reference contains all harmonics of a family (nk + m, k ∈ Z), 2 • N /n memory cells are required in order to implement the nk + m RC proposed by (Zimann et al 2019), and the controller will have order N /n. Meanwhile, 2 • N /n memory cells per stationary axis are required to implement the nk ± m RC proposed by (Neto et al 2018c) In applications where the set of harmonics to be controlled do not include positive-and negative-sequence components of the same order, e.g., h a = {− 29, − 23, − 17, − 11, − 5, + 1, + 7, + 13, + 19, + 25}, the use of complex controllers reduces the number of harmonic components in which the control scheme applies high gain, resulting in better stability characteristics.…”

Section: Lower Order and Better Stability Characteristicsmentioning

confidence: 99%

“…When designing these controllers, the computational delay of the digital implementation must be taken into account. To work around this issue, two solutions can be used: For multiple ROGIs, a phase compensation must be implemented for each ROGI separately (Xie et al 2017), as indicated in (23); for complex RCs, a lead compensator should be cascaded with the controller, as proposed in (Zimann et al 2019). Table 1 is filled in with the main structural characteristics of each controller presented in this paper.…”

Section: Implementation Issuesmentioning

confidence: 99%

See 3 more Smart Citations

Complex Controllers Applied to Space Vectors: A Survey on Characteristics and Advantages

Neto

Neves

Souza

2020

J Control Autom Electr Syst

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This work presents the characteristics and advantages of using complex controllers applied to space vectors. A mathematical background is presented to show that the harmonic spectrum of a space vector indicates the phase-sequence of each harmonic that composes this vector. As consequence, a reference space vector can be used for applications in which the control system has three-phase reference signals. This approach allows the implementation of complex controllers that present lower order, require less memory elements and have better dynamic response than real controllers. A literature review is made to enable a structural comparison (in terms of computational cost) between several real and complex control schemes based on the internal model principle. Two experimental applications are used to evaluate the performance of complex controllers.

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Section: Coupling Between The˛andˇstationary Axesmentioning

confidence: 68%

Section: Complex Rcmentioning

confidence: 99%

Section: Lower Order and Better Stability Characteristicsmentioning

confidence: 99%

Section: Implementation Issuesmentioning

confidence: 99%

See 2 more Smart Citations

Complex Controllers Applied to Space Vectors: A Survey on Characteristics and Advantages

Neto

Neves

Souza

2020

J Control Autom Electr Syst

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“…It was first used in active power filters to compensate for current harmonics in [17]. Now the repetitive control strategy has been improved and is quite mature [18][19][20].…”

Section: Review Of Hybrid Repetitive Controllermentioning

confidence: 99%

Modified Modeling and System Stabilization of Shunt Active Power Filter Compensating Loads with μF Capacitance

et al. 2019

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The interactions between shunt active power filter (APF) and capacitance load tend to result in stability problems and resonance. The conventional model of a shunt APF is not precise enough to reflect this phenomenon. To address it, this paper proposes a modified shunt APF system model to accurately reflect various stability problems. This paper also studies the mechanism of positive feedback resonance brought by capacitance load and proposes a modified hybrid controller to improve the stable margin of the system, making the shunt APF work stably under different working conditions where there are μF capacitors on the demand side. The correctness and validity of the proposed strategy are verified by simulation analysis and prototype experiments.

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The optimal design of repetitive controllers based on inverse frequency response

Panomruttanarug

2023

Optim Control Appl Methods

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This article presents a complete design of non-causal finite impulse response (FIR) and infinite impulse response (IIR) compensators for repetitive control.The concept of repetitive controllers involves imitating the inverse frequency response of the feedback control system by minimizing the amplitude of error propagation from one period to the next in the frequency domain. The FIR compensator design has already been presented in our previous work. However, it was not complete since some parameters, such as the number of causal gains and total number of gains were still left open for the designers to select. This work provides a reasonable suggestion on how to choose parameters based on the steepest descent method. In addition, an IIR compensator is further developed based on the designed FIR design. The gains of the IIR compensator are adjusted by aiming to minimize the cost function using the steepest descent. As can be observed from the results, the IIR compensator developed from the FIR compensator cannot overcome the original FIR compensator since its learning performance is relatively slow and the extra gains added to the denominator increase memory usage when executing.

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A Complex Repetitive Controller Based on the Generalized Delayed Signal Cancelation Method

Cited by 18 publications

References 18 publications

Complex Controllers Applied to Space Vectors: A Survey on Characteristics and Advantages

Complex Controllers Applied to Space Vectors: A Survey on Characteristics and Advantages

Modified Modeling and System Stabilization of Shunt Active Power Filter Compensating Loads with μF Capacitance

The optimal design of repetitive controllers based on inverse frequency response

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