Alocação de zeros aplicada a sistemas de controle via LMI

Assunção, Edvaldo; Andrea, Cristiano Quevedo; Teixeira, Marcelo Carvalho Minhoto

doi:10.1590/s0103-17592007000100005

Cited by 3 publications

(2 citation statements)

References 15 publications

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“…This work chosen the Proportional-Integral (PI) controller as a possible and an easy solution applied to track the desired reference [9]. Therefore, the linear system z β can be represented as: 1 2 .…”

Section: F Controller Designmentioning

confidence: 99%

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Grid-tie three-phase inverter with active and reactive power flow control capability

Sampaio

Brito

Melo

et al. 2013

2013 Brazilian Power Electronics Conference

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This paper proposes a methodology for the active and reactive power flow control, applied to threephase inverter operating in grid-connected mode at low AC voltage. The converter's control technique is based on Linear Matrix Inequalities -LMI together with Dstability criteria and state-feedback linearization. Through multi-loop control, the power loop uses an adapted active and reactive power transfer expressions, in order to obtain the magnitude voltage and power transfer angle to control the power flow between the distributed generation and the utility/grid. The multiloop control uses the technique of state-feedback linearization in order to minimize the system nonlinearities, improving the controller's performance and mitigating potential system disturbances. Moreover, the purpose of the methodology is to obtain the best controllers with the lowest gains placing the poles in the left-half s-plane region specified during the design stage, resulting fast responses with reduced oscillations. In order to demonstrate the feasibility of the proposed control a 3000VA three-phase prototype was experimentally implemented. Furthermore, experimental results demonstrate anti-islanding detection and protection against over/under voltage and frequency.

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Section: F Controller Designmentioning

confidence: 99%

“…Its techniques can work with several conditions, e.g., to determine the best controller with minimum oscillations and high-speed transient response. The presented D-stability proposes the usage of the decay rates to delimit a maximum time to the vector norm [9][10].…”

Section: Introductionmentioning

confidence: 99%

Grid-tie three-phase inverter with active and reactive power flow control capability

Sampaio

Brito

Melo

et al. 2013

2013 Brazilian Power Electronics Conference

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Metodologia para rastreamento com modificação dos zeros e rejeição de distúrbio aplicada a sistemas incertos

Assunção

Andrea

Teixeira

et al. 2008

Sba Controle & Automação

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The methodology for tracking system and disturbance rejection considering polytopic uncertainties in the plant is proposed in this work. The process of disturbance rejection is make though of the dynamic feedback of the system using a controller K p (s) that minimize the H 2 -norm guaranteed cost from w(t) para z(t), where w(t) is the disturbance signal and z(t) is the output of the system. And so, one use the optimal zeros modification with purpose of to design the tracking system. In this way, the modification of the zeros is used to minimize the H ∞ -norm guaranteed cost from the reference input signal to the tracking error signal, where the tracking error signal was diference between the reference input signal and output signal of the system. The design is formulated in Linear Matrix Inequality (LMI) framework, when it presents a solution, the optimal solution of the stated control problem is obtained. Two practical examples illustrate the effectiveness of the proposed method. RESUMOPropõe-se uma metodologia para rastreamento de sinais e rejeição a distúrbio aplicada a sistemas incertos, com incerteza do tipo politópica. Realiza-se o processo de atenuação do efeito do sinal de distúrbio na saída do sistema através da realimentação dinâmica da saída utilizando-se um controlador K p (s) que minimiza a norma H 2 de custo garantido de w(t) para z(t), sendo w(t) o sinal de distúrbio e z(t) a saída do sistema. Então, para o rastreamento de sinais utiliza-se a modificação ótima dos zeros a fim de minimizar a norma H ∞ de custo garantido da função de transferência entre o sinal de referência e o sinal de erro de rastreamento, sendo o erro de rastreamento a diferença entre o sinal de referência r(t) e o sinal de saída z(t). O projeto de rastreamento de sinais e rejeição do efeito do ruído presente na planta é descrito na forma de LMIs que, quando factíveis, pode-se obter a solução ótima para o problema. Exemplos ilustram a viabilidade da metodologia proposta.

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Grid-tie Three-phase Inverter With Active and Reactive Power Flow Control Capability

Sampaio¹,

Brito²,

Melo³

et al. 2014

Eletrônica de Potência

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This paper proposes a methodology for the active and reactive power flow control, applied to a low voltage grid-tie three-phase power inverter. The control technique is designed by means of feedback linearization and the pole placement is obtained using Linear Matrix Inequalities (LMIs) together with D-stability concepts. Through multi-loop control, the power loop uses adapted active and reactive power transfer expressions, in order to obtain the magnitude of the voltage and the power transfer angle to control the power flow between the distributed generation (DG) and the utility grid. The state-feedback linearization technique is applied at the whole control system in order to minimize the nonlinearities of the system, improving the controller's performance and mitigating potential disturbances. The methodology main idea is to obtain the best controllers with the lowest gains as possible placing the poles in the left-half s-plane region specified during the design procedure, resulting in fast responses with reduced oscillations. Demonstrating the feasibility of the proposal a 3 kVA three-phase prototype was experimentally implemented. Furthermore, experimental results demonstrate anti-islanding detection and protection against over/under voltage and frequency deviations.

show abstract

Alocação de zeros aplicada a sistemas de controle via LMI

Cited by 3 publications

References 15 publications

Grid-tie three-phase inverter with active and reactive power flow control capability

Grid-tie three-phase inverter with active and reactive power flow control capability

Metodologia para rastreamento com modificação dos zeros e rejeição de distúrbio aplicada a sistemas incertos

Grid-tie Three-phase Inverter With Active and Reactive Power Flow Control Capability

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