Discrete-time regional pole-placement using convex approximations: Theory and application to a boost converter

Wisniewski, Viviane Louzada; Maddalena, Emilio T.; Godoy, Ruben Barros

doi:10.1016/j.conengprac.2019.07.020

Cited by 15 publications

(9 citation statements)

References 32 publications

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“…Consider the following unknown linear observable system x(t + 1) = Ax(t), y(t) = Cx(t), (40) where x(t) ∈ R n and y(t) ∈ R p denote the system state and output at time t, respectively. A ∈ R n×n is the system matrix, C ∈ R p×n is the output matrix, and they are both unknown.…”

Section: A Duel System For Data-driven Estimationmentioning

confidence: 99%

Data-driven Moving Horizon Estimation for Angular Velocity of Space Noncooperative Target in Eddy Current De-tumbling Mission

Liu¹,

Chang²,

Lu³

et al. 2023

Preprint

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Angular velocity estimation is critical for eddy current de-tumbling of noncooperative space targets. However, unknown model of the noncooperative target and few observation data make the model-based estimation methods challenged. In this paper, a Data-driven Moving Horizon Estimation (Dd-MHE) method is proposed to estimate the angular velocity of the noncooperative target with de-tumbling torque. In this method, model-free state estimation of the angular velocity can be achieved using only one historical trajectory data that satisfies the rank condition. With local linear approximation, the Willems' fundamental lemma is extended to nonlinear autonomous systems, and the rank condition for the historical trajectory data is deduced. Then, a data-driven moving horizon estimation algorithm based on the M-step Lyapunov function is designed, and the time-discount robust stability of the algorithm is given. In order to illustrate the effectiveness of the proposed algorithm, experiments and simulations are performed to estimate the angular velocity in eddy current de-tumbling with only de-tumbling torque measurement.

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Section: A Duel System For Data-driven Estimationmentioning

confidence: 99%

Data-driven Moving Horizon Estimation for Angular Velocity of Space Noncooperative Target in Eddy Current De-tumbling Mission

Liu¹,

Chang²,

Lu³

et al. 2023

Preprint

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“…Essa equação pode ser representada no domínio discreto, na qual a perturbação pode ser representada, aproximadamente, como um sustentador de ordem zero (ZOH). Dessa forma, a função de transferência da corrente pode ser obtida a partir de (11), onde a função de transferência de ZOHé determinada por (12).ĩ…”

Section: A Estratégia De Controle Cpm Para O Conversor Buckunclassified

“…Um dos desafios encontrados para essas aplicaçõesé o estudo e modelagem desses conversores para posterior implementação da estratégia de controle adequada. Algumas maneiras de realizar o controle de conversores CC-CC isolados e não-isolados são destacadas: controle digital com inclinação adaptativa [1], controle de modo deslizante [2], controle preditivo (para conversor Buck [3] e Forward [4]), controle com tolerância de falta [5], controle por Natural Switching Surface [6], controle por corrente programada [7]- [10], controle por realimentação de estados linear [11], controle por retorno de corrente [12], entre outras estratégias, cada qual com suas vantagens e desvantagens.…”

Section: Introductionunclassified

Contribuições ao Controle Current Programmed Mode (CPM) Aplicado a Conversores CC-CC

Júnior¹,

Vecchia²,

Kirsten³

et al. 2021

Eletrônica de Potência

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Resumo -Apesar de muito difundido na indústria, a estratégia de controle CPM aplicada a conversores CC-CC carece de discussões científicas e uma completa metodologia de projeto para sua correta implementação. Neste contexto, este artigo contribui com uma metodologia para a modelagem e o projeto do controle CPM para os conversores CC-CC Buck e Forward, destacando os desafios existentes em cada um deles. O modelo dos conversores considerando frequências subharmônicaś e apresentado, além da consideração da corrente de magnetização como uma rampa externa de compensação no sistema de controle. A modelagem final do conversor Forward foi validada via simulação no circuito comutado e no espectro da frequência. Resultados de simulação e experimentais para validação da estratégia de controle discutida são apresentados para os seguintes parâmetros de projeto: 400V-24V de tensão de entrada e saída, 100 kHz de frequência de comutação e 200 W de potência.

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“…The discrete-time regions defined from this regions are not necessarily convex. An alternative could be derived taking into account inner-approximations by well known LMI regions, as proposed in Wisniewski et al (2019). However, the approach adopted herein leads to simpler design and can be appropriate to handle closed-loop specifications, as will be illustrated in Section 5.…”

Section: θmentioning

confidence: 99%

Robust state derivative feedback LMI-based designs for discretized systems.

Leandro¹,

Pereira

Kienitz

2020

Anais Do Congresso Brasileiro De Automática 2020

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This work addresses novel Linear Matrix Inequality (LMI)-based conditions for thedesign of discrete-time state derivative feedback controllers. The main contribution of this work consists of an augmented discretized model formulated in terms of the state derivative, such that uncertain sampling periods and parametric uncertainties in polytopic form can be propagated from the original continuous-time state space representation. The resulting discrete-time model is composed of homogeneous polynomial matrices with parameters lying in the Cartesian product of simplexes, plus an additive norm-bounded term representing the residual discretization error. Moreover, the referred condition allows for the closed-loop poles allocation of the augmented system in a D-stable region. Finally, numerical simulations illustrate the effectiveness of the proposed method.

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Discrete-time regional pole-placement using convex approximations: Theory and application to a boost converter

Cited by 15 publications

References 32 publications

Data-driven Moving Horizon Estimation for Angular Velocity of Space Noncooperative Target in Eddy Current De-tumbling Mission

Data-driven Moving Horizon Estimation for Angular Velocity of Space Noncooperative Target in Eddy Current De-tumbling Mission

Contribuições ao Controle Current Programmed Mode (CPM) Aplicado a Conversores CC-CC

Robust state derivative feedback LMI-based designs for discretized systems.

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