LMI approach for ℋ∞ linear parameter-varying state feedback control

Montagner, Vinícius F.; Oliveira, Ricardo C. L. F.; Leite, Valter J. S.; Peres, Pedro L. D.

doi:10.1049/ip-cta:20045117

Cited by 81 publications

(54 citation statements)

References 36 publications

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“…This state-space representation has been previously used to derive robust control synthesis methods for dc-dc converters, which generally result in a state-feedback law that stabilizes the system for a certain range of uncertainty: parameter-dependent approaches for the linear dynamics of the converters are presented in (Montagner et al, 2005) and (Torres-Pinzon & Leyva, 2009) while (Hu, 2011) introduces a representation of the nonlinear dynamics. Consistent experimental results with tight performances are presented in (Olalla et al, 2009a;2010a;2011).…”

Section: =Ax(t)+b W W(t)+b U U(t) Y(t)=c Y X(t)+e Yw W(t)+e Yu U(t) Zmentioning

confidence: 99%

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LMI Robust Control of PWM Converters: An Output-Feedback Approach

Olalla¹,

Aroudi²,

Leyva³

et al. 2011

Recent Advances in Robust Control - Theory and Applications in Robotics and Electromechanics

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Section: =Ax(t)+b W W(t)+b U U(t) Y(t)=c Y X(t)+e Yw W(t)+e Yu U(t) Zmentioning

confidence: 99%

“…Finally, these methods are able to include descriptions of the uncertainty. Some of the previous literature on LMI control of dc-dc converters are (Montagner et al, 2005;Olalla et al, 2009a;2010a). In these papers, the uncertainty of the converter is taken into account and the control synthesis deals with different operating points.…”

Section: Introductionmentioning

confidence: 99%

LMI Robust Control of PWM Converters: An Output-Feedback Approach

Olalla¹,

Aroudi²,

Leyva³

et al. 2011

Recent Advances in Robust Control - Theory and Applications in Robotics and Electromechanics

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“…This fact has prompted some authors to apply LMI control in the dc-dc converter field [6], [7], [17], [18]. This technique allows us to ensure the satisfaction of requirements on stability, closed-loop pole placement and control effort and, simultaneously, to maximize the level of disturbance rejection.…”

Section: Introductionmentioning

confidence: 99%

“…analyze LMI controllers for boost converters optimizing the load disturbance rejection and describe their implementation. In [17], Montagner analyzes LMI controllers where the parameters depend on measurable converter parameters. In all the previous contributions the converter has a single stage, thus the control is monovariable.…”

Section: Introductionmentioning

confidence: 99%

LMI-Based Robust Controllers for DC-DC Cascade Boost Converters

Pinzón¹,

Giral²,

Leyva³

2012

Journal of Power Electronics

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This paper presents two different robust controllers for boost converters with two stages in a cascade. The first robust controller is monovariable; that is, the duty-cycle is the same for the two switches. The monovariable controller ensures that some prescribed constraints on pole placement and control effort are met, and optimizes the load disturbance rejection, while takes into account the uncertainty in certain parameters. The first controller is then compared with a multivariable robust controller; that is, with independent duty cycles in each switch. The multivariable controller takes into account the same uncertainty, constraints and optimization function. The comparison shows that the multivariable controller performs better at the expense of a slightly more complex implementation; that is, the multivariable controller provides a better rejection of the load disturbance. The paper also describes simulations and experimental results that are in perfect agreement with theoretical derivations.

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“…The story begins around 1890 when Lyapunov published his work introducing what is now called the Lyapunov's theory (Boyd et al, 1994). The researches and publications involving the Lyapunov's theory have grown up a lot in recent decades (Chen, 1999), opening a very wide range for various approaches such as robust stability analysis of linear systems (Montagner et al, 2009), LMI optimization approach (Wang et al, 2008), H 2 (Apkarian et al, 2001;Assunção et al, 2007a;Ma & Chen, 2006) or H ∞ (Assunção et al, 2007b;Chilali & Gahinet, 1996;Lee et al, 2004) robust control, design of controllers for systems with state feedback (Montagner et al, 2005), and design of controllers for systems with state-derivative feedback ). The design of robust controllers can also be applied to nonlinear systems.…”

Section: Introductionmentioning

confidence: 99%