LMI-based control synthesis of constrained Takagi–Sugeno fuzzy systems subject to<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si0013.gif" overflow="scroll"><mml:msub><mml:mrow><mml:mi mathvariant="script">L</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math>or<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si0014.gif" overflow="scroll"><mml:mrow><mml:mi mathvariant="script">L</mml:mi></mml:mrow></mml:math>∞ disturbances

Nguyen, Anh‐Tu; Laurain, Thomas; Palhares, Reinaldo M.; Lauber, Jimmy; Sentouh, Chouki; Popieul, Jean‐Christophe

doi:10.1016/j.neucom.2016.05.063

Cited by 37 publications

(25 citation statements)

References 46 publications

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“…System modeling is the first step which constructs a fuzzy model such as T-S fuzzy model or polynomial fuzzy model to describe the dynamics of the nonlinear plant and capture its characteristic. Depending on the nature of the nonlinear plant, variations of T-S fuzzy model/polynomial fuzzy model can be employed to capture the characteristic, just to a name a few, such as disturbance [114,88,115,116], input nonlinearity/saturation [117,85,118,119,120], jumping [121], positivity [122,123,124,125,69], stochastic processes [126,127], time delay [128,129,130], switching [131,79,132,133,134], uncertainties [46,135,87], etc., in continuous-time/discrete-time form.…”

Section: Introductionmentioning

confidence: 99%

A review on stability analysis of continuous-time fuzzy-model-based control systems: From membership-function-independent to membership-function-dependent analysis

Lam

2018

Engineering Applications of Artificial Intelligence

235

111

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Section: Introductionmentioning

confidence: 99%

A review on stability analysis of continuous-time fuzzy-model-based control systems: From membership-function-independent to membership-function-dependent analysis

Lam

2018

Engineering Applications of Artificial Intelligence

235

111

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“…In recent years, the attenuation and rejection of disturbances have always been hot research topics. Various ways have been tried to deal with disturbances, so that the performance of the system could be less degraded and the system could be more stable [13][14][15][16][17][18][19][20][21][22][23]. In [13], a robust adaptive full-order observer is proposed with adaptation laws for the unknown disturbances and parameters, and a reduced-order observer-based response system is developed under the same assumptions, which can synchronize part of states of drive system.…”

Section: Introductionmentioning

confidence: 99%

Disturbance Attenuation and Rejection for a Class of Switched Nonlinear Systems Subject to Input and Sensor Saturations

Wei

Sun

Jia

et al. 2019

Mathematical Problems in Engineering

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This paper investigates the problem of disturbance attenuation and rejection for a class of switched nonlinear systems subject to input and sensor saturations, in which exosystem generated disturbances and H2-norm bounded disturbances are considered. The full-order and reduced-order observers are designed according to whether the system states are available or not. Based on the estimating values of the system states and exosystem generated disturbances, the design schemes for the composite controllers are put forward based on the full-order and reduced-order observers, respectively. For a switched system, the input and sensor saturations would influence the effective synthesis of observer and controller. By sector nonlinearity technology, the stability of the augmented closed-loop systems under the proposed composite controllers are analyzed, and the conditions of synthesis of the observers and controllers are further presented to ensure the augmented systems to be robustly asymptotically stable with a weighted H∞ performance level. An example is given to guarantee the effectiveness of the proposed control schemes.

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“…Outra característica frequentemente presente em sistemas reaisé estarem sujeitos a restrições nos estados e na entrada de controle devido, por exemplo, a restrições físicas, restrições econômicas, ou por questões de segurança (Nguyen et al, 2016). Destaca-se ainda o caso em que o modelo do sistemaé válido apenas em uma determinada região do espaço de estados representada por restrições a serem obedecidas.…”

Section: Introductionunclassified

Controle Descentralizado de Sistemas Interconectados por Não-Linearidades Setoriais Sujeitos a Saturação nos Atuadores

Araujo

Tôrres

Palhares

2019

Anais Do 14º Simpósio Brasileiro De Automação Inteligente

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The problem of designing decentralized control laws for continuous-time interconnected systems through sector-boundedness nonlinearities subject to state and control input constraints is addressed in this paper. Sufficient conditions taking into account state constraints are derived and expressed in terms of Linear Matrix Inequalities (LMIs). It is shown that the closed-loop system can be made asymptotically stable while at the same time, the estimate of the domain of attraction for the closed-loop system is maximized. Finally, the synchronization problem of an electric distribution network composed by generators is considered in order to illustrate the effectiveness of the design approach proposed. Resumo: Neste artigo aborda-se o problema de síntese de leis de controle descentralizadas para sistemas interconectados a tempo contínuo com não-lineares setoriais e sujeitos a restrições nos estados e na entrada de controle. Obtém-se condições suficientes que levam em conta restrições no estado e no controle descritas na forma de Desigualdades Matriciais Lineares (LMIs). Mostra-se que o sistema em malha fechada pode ser assintoticamente estável, enquanto, ao mesmo tempo, a estimativa da região de atração para o sistema de malha fechadaé maximizada. Para ilustrar a eficácia da abordagem proposta, considera-se o problema de sincronismo de uma rede de distribuição elétrica composta por geradores de energia.

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LMI-based control synthesis of constrained Takagi–Sugeno fuzzy systems subject toL2orL∞ disturbances

Cited by 37 publications

References 46 publications

A review on stability analysis of continuous-time fuzzy-model-based control systems: From membership-function-independent to membership-function-dependent analysis

A review on stability analysis of continuous-time fuzzy-model-based control systems: From membership-function-independent to membership-function-dependent analysis

Disturbance Attenuation and Rejection for a Class of Switched Nonlinear Systems Subject to Input and Sensor Saturations

Controle Descentralizado de Sistemas Interconectados por Não-Linearidades Setoriais Sujeitos a Saturação nos Atuadores

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