Switching rule design for affine switched systems using a max-type composition rule

Scharlau, C.C.; Oliveira, Maurı́cio C. de; Trofino, Alexandre; Dezuo, Tiago Jackson May

doi:10.1016/j.sysconle.2014.02.007

Cited by 60 publications

(34 citation statements)

References 17 publications

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“…Neste caso, a estabilidade assintótica geralmente sóé garantida através do surgimento de modos deslizantes estáveis, o que implica em uma alta frequência de comutação. Para sistemas a tempo contínuo, a literatura apresenta resultados recentes para o controle por realimentação de estado e de saída, utilizando funções de Lyapunov quadráticas, veja Bolzern and Spinelli (2004), Deaecto and Santos (2015), Deaecto (2016) ou do tipo máximo, veja Scharlau et al (2014). Contudo, a frequência de comutação necessáriaé arbitrária, fator que pode ser impeditivo em várias aplicações práticas, visto que ignora características naturais como tempo de resposta de chaves reais ou período de amostragem.…”

Section: )unclassified

Estabilidade prática de sistemas afins com comutação a tempo discreto e ponto de equilíbrio parcialmente conhecido

Egidio

Deaecto

2019

Anais Do 14º Simpósio Brasileiro De Automação Inteligente

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In this paper, we present practical stability conditions for discrete-time switched affine systems based on Lyapunov-Metzler inequalities, which encompass others from the literature. These systems are used to model the dynamic behavior of several electronic devices, mainly in the power electronics domain. More specifically, the proposed conditions are less conservative for the existence of a set of attraction when compared with those derived from a quadratic Lyapunov function. Moreover, the proposed methodology allows for a convergence region dependent on the controlled output defined by the designer and, differently from many available techniques, admits that the equilibrium point be partially known. Two examples are used for illustration, being the first one composed of a switched affine system with no stable convex combination among its subsystems and the second, a practical application where the output voltage of a DC-DC boost converter is controlled.

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Section: )unclassified

Estabilidade prática de sistemas afins com comutação a tempo discreto e ponto de equilíbrio parcialmente conhecido

Egidio

Deaecto

2019

Anais Do 14º Simpósio Brasileiro De Automação Inteligente

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“…DC-DC power converters are natural applications of SAS theory, as recent works show in their examples (Scharlau et al 2014;Corona et al 2007;Deaecto et al 2010;Mainardi 3 Of course, the second line in (33) must also be altered. However, showing (39) is enough to reject the second approach.…”

Section: Design Examples In Dc-dc Convertersmentioning

confidence: 99%

“…An important feature is that the average state space was not required, sufficing to use the SAS model and LMIs to elaborate a stabilizing state-dependent switching law. Recently, another proposal using a max-type statedependent switching law was made by Scharlau et al (2014).…”

Section: Introductionmentioning

confidence: 99%

An LMI Approach to Full- and Reduced-Order Switched Luenberger Observers for Switched Affine Systems

Yoshimura

Assunção

Teixeira

2016

J Control Autom Electr Syst

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This work deals with reduced-order Luenbergerlike observer design and control for switched affine systems. Formulation of state-dependent and dynamic outputdependent switching laws for those systems was already addressed, however, in a full-order treatment. The proposed procedure defines an estimator system only for the unmeasured part of the system state. Linear matrix inequalities for obtaining output gain matrices and for composing a reduced-order Luenberger observer-based switching law are proposed. Finally, the results are validated by design and simulation for DC-DC converters.

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“…The designing of switching law is an effective method for the asymptotical stability of switched linear systems and it has been well explored in [2,[11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30]. Note that a common quadratic Lyapunov function is employed for all subsystems so that the switched linear systems are asymptotically stable under arbitrary switching law in [18,19].…”

Section: Introductionmentioning

confidence: 99%

Fast control optimization for switched linear systems based on harmony search algorithm

Zhai

Gao

2016

Neurocomputing

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Switching rule design for affine switched systems using a max-type composition rule

Cited by 60 publications

References 17 publications

Estabilidade prática de sistemas afins com comutação a tempo discreto e ponto de equilíbrio parcialmente conhecido

Estabilidade prática de sistemas afins com comutação a tempo discreto e ponto de equilíbrio parcialmente conhecido

An LMI Approach to Full- and Reduced-Order Switched Luenberger Observers for Switched Affine Systems

Fast control optimization for switched linear systems based on harmony search algorithm

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