Multivariable VRFT: an approach for systems with non-minimum phase transmission zeros

Silva, Gustavo R. Gonçalves da; Campestrini, Lucíola; Bazanella, Alexandre Sanfelice

doi:10.1109/cca.2016.7587990

Cited by 10 publications

(10 citation statements)

References 6 publications

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“…In the virtual reference framework, Campi et al [5] have proposed virtual reference feedback tuning (VRFT). Furthermore, owing to the usefulness of VRFT, non-minimum phase systems [6], multivariable systems [7], and the application for wastewater treatment plant control [8] have been studied.…”

Section: Introductionmentioning

confidence: 99%

Dual-Rate Data-Driven Virtual Reference Feedback Tuning: Improvement in Fast-Tracking Performance and Ripple-Free Design

et al. 2021

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In this study, a data-driven design method is proposed for a dual-rate system, where the sampling interval of a plant output is restricted and is an integer multiple of the holding interval of a control input. In our proposed method, single-rate virtual reference feedback tuning (S-VRFT), where the holding interval is the same as the sampling interval, is extended to the dual-rate virtual reference feedback tuning (D-VRFT) system. In D-VRFT, a controller is decided using a set of input/output data used in S-VRFT, and it is easy to extend S-VRFT to D-VRFT and implement D-VRFT. In this study, intersample oscillations caused in such a dual-rate control system is prevented because a weighting filter is introduced for penalizing the control input deviation between the sampling instants. The filter is designed as an integrator for weighting the low-frequency domain. The improvement in fast-tracking performance as well as the ripple-free property are demonstrated through both the numerical and experimental results.

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Section: Introductionmentioning

confidence: 99%

Dual-Rate Data-Driven Virtual Reference Feedback Tuning: Improvement in Fast-Tracking Performance and Ripple-Free Design

et al. 2021

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“…For multivariable systems the situation is even more complex, because the transmission zeros also have input and output directions associated to them. These directions have implications on output performance and allowable reference model choices [7].…”

Section: Introductionmentioning

confidence: 99%

“…Identification and inclusion of these zeros in the reference model is now an established and safer solution whether in direct adaptive control [8], [9] or data-driven control designs [10], [7], [11]. In [11], a solution is proposed to the NMP issue in the multivariable case using the VRFT (Virtual Reference Feedback Tuning) data-driven method with a flexible criterion, where identification of the NMP transmission zeros is achieved along with the controller parameters in an iterative least-squares procedure.…”

Section: Introductionmentioning

confidence: 99%

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Data-Driven Control Design by Prediction Error Identification for Multivariable Systems

Huff

Campestrini

Silva

et al. 2019

J Control Autom Electr Syst

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This paper extends the formulation of a datadriven control method -the Optimal Controller Identification (OCI) -to cope with non-minimum phase (NMP) systems, without a priori knowledge of the NMP transmission zero, i.e. without obtaining a prior model of the plant -as in any datadriven approach. The method is based on the Model Reference paradigm, in which the desired closed-loop performance is specified by means of a closed-loop transfer function -the reference model. Considering a convenient parametrization of the latter and a flexible performance criterion, it is possible to identify the NMP transmission zeros of the plant along with the optimal controller parameters, as it will be shown. Both diagonal and block-triangular reference model structures are treated in detail. Simulation examples show the effectiveness of the proposed approach.

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“…The main disadvantage of VRFT is that it does not directly guarantee the closed-loop CS stability. The control algorithms specific to VRFT, i.e., the VRFT algorithms, have been applied recently to TRASs [9,10], two-tank systems [21], quadrotors [22], unmanned gyroplanes [23], non-minimum phase systems [24], robotics [25], and power systems [26].…”

Section: Introductionmentioning

confidence: 99%

Virtual Reference Feedback Tuning of Model-Free Control Algorithms for Servo Systems

et al. 2017

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This paper proposes the combination of two data-driven techniques, namely virtual reference feedback tuning (VRFT) and model-Free Control (MFC) in terms of the VRFT of MFC algorithms dedicated to servo systems. VRFT ensures the automatic optimal computation of the parameters of three MFC algorithms represented by intelligent proportional (iP), intelligent proportional-integral (iPI), and intelligent proportional-integral-derivative (iPID) controllers. The combination of MFC and VRFT leads to a novel mixed MFC-VRFT approach. The approach is validated by experimental results related to the angular speed control of modular servo system laboratory equipment. The performance of the control systems with the MFC algorithms (iP, iPI, and iPID controllers) tuned by the mixed MFC-VRFT approach is compared with that of control systems with MFC algorithms tuned by a metaheuristics gravitational search algorithm (GSA) optimizer, and of control systems with I, PI and PID controllers optimally tuned by VRFT and GSA in the same optimization problem.

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Multivariable VRFT: an approach for systems with non-minimum phase transmission zeros

Cited by 10 publications

References 6 publications

Dual-Rate Data-Driven Virtual Reference Feedback Tuning: Improvement in Fast-Tracking Performance and Ripple-Free Design

Dual-Rate Data-Driven Virtual Reference Feedback Tuning: Improvement in Fast-Tracking Performance and Ripple-Free Design

Data-Driven Control Design by Prediction Error Identification for Multivariable Systems

Virtual Reference Feedback Tuning of Model-Free Control Algorithms for Servo Systems

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