Design of Repetitive Controllers Through Sensitivity Function

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

doi:10.1109/isie.2018.8433720

Cited by 11 publications

(8 citation statements)

References 15 publications

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“…12, were implemented in a dSPACE platform. The block H l (z) is a lead compensator used to attenuate the effect of the computational delay [33]. The parameters of the prototype are presented in Table 3.…”

Section: Performance Comparison Of Repetitive Controllersmentioning

confidence: 99%

“…In order to make a fair comparison, the repetitive gain was initially tuned for conventional RC, and then the tuned repetitive gain was extended to the other evaluated RC schemes. For this, the design methodology presented in [33] was used to obtain K rc = 0.060. A lead compensator with transfer function given by…”

Section: B Parameters Of the Implemented Rc Schemesmentioning

confidence: 99%

“…is used to mitigate the effect of computational delay [33] (its position in the control system is indicated in Fig. 12).…”

Section: B Parameters Of the Implemented Rc Schemesmentioning

confidence: 99%

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Unified Approach to Evaluation of Real and Complex Repetitive Controllers

2021

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Repetitive controllers (RCs) are known for their ability of controlling periodic exogenous signals, even if these signals have high harmonic content. Due to the variety of repetitive controllers proposed in the literature, which are significantly different from each other, a comparative evaluation in a collective way is analytically complex. This fact implies a greater difficulty to select the appropriate RC strategy when designing a control system, what makes most control system designers to not use this class of controllers. In order to solve this problem, the present paper develops a unified approach for representation of (real and complex) repetitive controllers, which is based on the use of multiple primitive repetitive cells in parallel. Through this approach the main characteristics of a repetitive controller, such as stability properties, dynamic response, set of harmonic components that are effectively compensated and computational burden, are easily identified. Furthermore, in order to validate the potential of the proposed unified approach, comparative studies of nk ± m RCs and nk + m RCs are performed. An experimental application based on a three-phase shunt active power filter is implemented to validate the theoretical evaluation presented in this paper.INDEX TERMS Complex controller, harmonic compensation, repetitive control, stability analysis.

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Section: Performance Comparison Of Repetitive Controllersmentioning

confidence: 99%

Section: B Parameters Of the Implemented Rc Schemesmentioning

confidence: 99%

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Unified Approach to Evaluation of Real and Complex Repetitive Controllers

2021

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“…As in previous strategies, the effect of computational delay must be compensated. A simple way to mitigate it can be achieved by using a phase lead cascaded with the repetitive controller (Neto et al 2018b).…”

Section: Complex Rcmentioning

confidence: 99%

“…The methodology presented in (Neto et al 2018b) was used to design all RC-based solutions. From this, the following parameters were obtained: The proportional and RC gains (K p and K rc in Table 3); a FIR filter (with order M), which is used to increase the system's relative stability; and a lead compensator, which is used to compensate the computational delay generated by digital implementation.…”

Section: Application 2: Mitigation Of the Harmonicmentioning

confidence: 99%

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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