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Blas M. Vinagre

Bio: Blas M. Vinagre is an academic researcher from University of Extremadura. The author has contributed to research in topics: Control theory & PID controller. The author has an hindex of 35, co-authored 152 publications receiving 7768 citations. Previous affiliations of Blas M. Vinagre include University of Castilla–La Mancha.


Papers
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BookDOI
01 Jan 2010

1,696 citations

Journal ArticleDOI
TL;DR: In this article, a method for tuning the PI λ D μ controller is proposed to fulfill five different design specifications, including gain crossover frequency, phase margin, and iso-damping property of the system.

881 citations

Book
01 Jan 2010
TL;DR: Fractional-order control strategies for Power Electronic Buck Converters have been discussed in this paper, as well as some nonlinear Fractionalorder Control Strategies for nonlinear control strategies.
Abstract: Fundamentals of Fractional-order Systems and Controls.- Fundamentals of Fractional-order Systems.- State-space Representation and Analysis.- Fundamentals of Fractional-order Control.- Fractional-order PID-Type Controllers.- Fractional-order Proportional Integral Controller Tuning for First-order Plus Delay Time Plants.- Fractional-order Proportional Derivative Controller Tuning for Motion Systems.- Fractional-order Proportional Integral Derivative Controllers.- Fractional-order Lead-lag Compensators.- Tuning of Fractional-order Lead-lag Compensators.- Auto-tuning of Fractional-order Lead-lag Compensators.- Other Fractional-order Control Strategies.- Other Robust Control Techniques.- Some Nonlinear Fractional-order Control Strategies.- Implementations of Fractional-order Controllers: Methods and Tools.- Continuous-time and Discrete-time Implementations of Fractional-order Controllers.- Numerical Issues and MATLAB Implementations for Fractional-order Control Systems.- Real Applications.- Systems Identification.- Position Control of a Single-link Flexible Robot.- Automatic Control of a Hydraulic Canal.- Mechatronics.- Fractional-order Control Strategies for Power Electronic Buck Converters.

790 citations

Journal ArticleDOI
TL;DR: In this article, an approach to the design of analogue circuits, implementing fractional-order controllers, is presented, based on the use of continued fraction expansions; in the case of negative coefficients in a continued fractionexpansion, negative impedance converters is proposed.
Abstract: An approach to the design of analogue circuits, implementingfractional-order controllers, is presented. The suggestedapproach is based on the use of continued fraction expansions;in the case of negative coefficients in a continued fractionexpansion, the use of negative impedance converters is proposed.Several possible methods for obtaining suitable rational appromixationsand continued fraction expansions are discussed. An exampleof realization of a fractional-order Iλ controlleris presented and illustrated by obtained measurements.The suggested approach can be used for the control of veryfast processes, where the use of digital controllers isdifficult or impossible.

633 citations

Journal ArticleDOI
TL;DR: Two direct discretization methods useful in control and digital filtering are presented for discretizing the fractional-order differentiator or integrator.
Abstract: This paper deals with fractional calculus and its approximate discretization. Two direct discretization methods useful in control and digital filtering are presented for discretizing the fractional-order differentiator or integrator. Detailed mathematical formulae and tables are given. An illustrative example is presented to show the practically usefulness of the two proposed discretization schemes. Comparative remarks between the two methods are also given.

333 citations


Cited by
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Journal ArticleDOI

[...]

08 Dec 2001-BMJ
TL;DR: There is, I think, something ethereal about i —the square root of minus one, which seems an odd beast at that time—an intruder hovering on the edge of reality.
Abstract: There is, I think, something ethereal about i —the square root of minus one. I remember first hearing about it at school. It seemed an odd beast at that time—an intruder hovering on the edge of reality. Usually familiarity dulls this sense of the bizarre, but in the case of i it was the reverse: over the years the sense of its surreal nature intensified. It seemed that it was impossible to write mathematics that described the real world in …

33,785 citations

Book ChapterDOI
01 Jan 2015

3,828 citations

Journal Article
TL;DR: In this paper, two major figures in adaptive control provide a wealth of material for researchers, practitioners, and students to enhance their work through the information on many new theoretical developments, and can be used by mathematical control theory specialists to adapt their research to practical needs.
Abstract: This book, written by two major figures in adaptive control, provides a wealth of material for researchers, practitioners, and students. While some researchers in adaptive control may note the absence of a particular topic, the book‘s scope represents a high-gain instrument. It can be used by designers of control systems to enhance their work through the information on many new theoretical developments, and can be used by mathematical control theory specialists to adapt their research to practical needs. The book is strongly recommended to anyone interested in adaptive control.

1,814 citations

Journal ArticleDOI
TL;DR: A new lemma for the Caputo fractional derivatives, when 0 α 1 , is proposed, which has proved to be useful in order to apply the fractional-order extension of Lyapunov direct method, to demonstrate the stability of many fractional order systems, which can be nonlinear and time varying.

1,010 citations

Journal ArticleDOI
TL;DR: This review article aims to present some short summaries written by distinguished researchers in the field of fractional calculus that will guide young researchers and help newcomers to see some of the main real-world applications and gain an understanding of this powerful mathematical tool.

922 citations