LMI robust control design for boost PWM converters

Olalla, Carlos; Leyva, R.; Aroudi, Abdelali El; Garces, P.; Queinnec, Isabelle

doi:10.1049/iet-pel.2008.0271

Cited by 131 publications

(95 citation statements)

References 22 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…de Toulouse, INSA, LAAS, F-31400 Toulouse France garcia@laas.fr L. Zaccarian is with CNRS, LAAS, 7 avenue du colonel Roche, F-31400 Toulouse, Univ. de Toulouse, LAAS, F-31400 Toulouse, France and Dipartimento di Ingegneria Industriale, University of Trento, Italy zaccaian@laas.fr derive averaged models, in general bilinear, allowing the use of all the methods developed in the context of nonlinear systems (feedback linearization, flatness, passivity... see for example [12] and references therein) or, in the case of linear models obtained from linearization of bilinear averaged ones, the use of powerful linear control design techniques (see for example, [2], [9], [14]). Among the main limitations, we can point out a difficulty for quantifying the precision of the approximation obtained by averaging procedure and the fact that the control laws properties are only valid locally.…”

Section: Introductionmentioning

confidence: 99%

Hybrid dynamic modeling and control of switched affine systems: Application to DC-DC converters

Albea-Sánchez

García

Zaccarian³

2015

2015 54th IEEE Conference on Decision and Control (CDC)

View full text Add to dashboard Cite

Abstract-The paper deals with the problem of control of switched systems described by a set of affine differential equations. Among the potential applications, the DC-DC converters constitute an important class of systems, which concentrates the interest of the control community. The paper proposes a new formulation of the problem in the context of hybrid dynamic systems, which represents an adequate way for handling the requirements of DC-DC converters, while guaranteeing theoretically and practically all specifications in terms of stability and performance. In this sense, the proposed approach encompasses several methods considered in the literature. The method is illustrated for the cases of buck and boost converters. The developed results are preliminary but constitute an interesting direction for reducing the gap between theoretical results and their practical applications in power electronics.

show abstract

Section: Introductionmentioning

confidence: 99%

Hybrid dynamic modeling and control of switched affine systems: Application to DC-DC converters

Albea-Sánchez

García

Zaccarian³

2015

2015 54th IEEE Conference on Decision and Control (CDC)

View full text Add to dashboard Cite

show abstract

“…Conditions (26) and (27) This result is readily extended to uncertain systems with a polytopic representation [7], [11].…”

Section: Fb X T B W T Z T C D B X T D W Tmentioning

confidence: 93%

“…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%

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

Pinzón¹,

Giral²,

Leyva³

2012

Journal of Power Electronics

View full text Add to dashboard Cite

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.

show abstract

“…LMI control technique uses modern numerical optimization methods to ensure the control requirements and thus to obtain the controller parameters [38]. Some authors have reported LMI controller for switching regulator [39]- [41]. This technique allows to ensure requirements on stability, a prescribed closed loop pole placement, and control effort.…”

Section: Introductionmentioning

confidence: 99%

LMI Control Design of a Non-Inverting Buck-Boost Converter: a Current Regulation Approach

Murillo¹,

Huertas²,

Pinzón³

et al. 2017

TECCIENCIA

View full text Add to dashboard Cite

This paper presents an analytical study of an input current-mode control based on a linear matrix inequalities (LMI) for a noninverting buck-boost converter. The LMI control technique makes better the dynamic response of this converter in comparison with previous research works, where its currents has been regulated using a classical analogue PI controller with an additional pole. The main features of the selected converter are its voltage step-up and step-down properties, high efficiency, wide bandwidth and low input and output current ripples. All of these converter's properties allows it to be used as a modular converter capable of being positioned at any converter locations in hybrid systems, which are formed by varying-voltagesources, current controlled dc-dc converters and auxiliary storage devices such as batteries or capacitors. The designed statefeedback controller has the following aims, among others: pole placement constraints, control effort limitation, and decay rate and bandwidth improvement. The use of state-space averaging (SSA) method allows to describe LMI constraints which guarantees stability and provide good performances under a close loop pole region and control signal bound. The theoretical analysis have been simulated by means of Matlab and PSIM on an 800-W coupled-inductor buck-boost dc-dc switching converter.Keywords: Coupled Inductors, Current Control, DC-DC Power Converters, Linear Matrix Inequality (LMI), Non-Inverting Buckboost Converter. ResumenEste artículo muestra un estudio analítico de control de entrada de modo-corriente basado en Desigualdades Lineales Matriciales (DLM) para un convertidor no-inversor buck-boost. La técnica de control DLM mejora la respuesta dinámica de este convertidor en comparación con trabajos de investigación anteriores, donde las corrientes han sido reguladas usando un controlador clásico análogo PI con un polo adicional. Las principales características del convertidor seleccionado son sus propiedades de subir y bajar por paso, alta eficiencia, amplio ancho de banda y bajas oscilaciones de corrientes de entrada y salida. Todas estas propiedades permiten que el convertidor sea usado de manera modular, siendo capaz de ser posicionado en cualquier posición de convertidor en sistemas híbridos, los cuales son conformados por fuentes de voltaje variable, convertidores dc-dc controlados por corriente, dispositivos de almacenamiento auxiliares como baterías y capacitores. El controlador de estado de retroalimentación diseñado tiene los siguientes objetivos, entre otros: restricciones de la ubicación del polo, limitación en el esfuerzo de control, tasa de decaimiento y mejora en ancho de banda. El uso del método de promedio en espacio de estado (PEE) permite describir restricciones DLM que garantizan la estabilidad y proveen buen rendimiento en una región de polo de ciclo cerrado y sujeto a la señal de control. El análisis teórico fue simulado usando Matlab y PSIM en un convertidor conmutable dc-dc buck-boost de inductor acoplado de 800-W.

show abstract

LMI robust control design for boost PWM converters

Cited by 131 publications

References 22 publications

Hybrid dynamic modeling and control of switched affine systems: Application to DC-DC converters

Hybrid dynamic modeling and control of switched affine systems: Application to DC-DC converters

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

LMI Control Design of a Non-Inverting Buck-Boost Converter: a Current Regulation Approach

Contact Info

Product

Resources

About