Troubador New Directions in Dynamical Systems, Automatic Control and Singular Perturbations

Released: 28/08/2022

ISBN: 9781803132013

eISBN: 9781803139494

Format: Paperback/eBook

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New Directions in Dynamical Systems, Automatic Control and Singular Perturbations


With this short book, Professor O'Reilly brings his considerable engineering experience to bear upon three subjects close to his heart: dynamical systems, automatic control and singular perturbations. New results of a fundamental and unifying nature are presented in all three areas. New directions are thereby established. Due care is taken of historical context and motivations. This highly readable book with its compelling physical narrative is divided into two parts, Part 1 and Part 2, for the reader’s convenience. Aimed primarily at engineers, this unusually affordable book should be read by every postgraduate.

Part 1 sets out the fundamental conditions that small-signal physically realisable dynamical system models must satisfy. These fundamental conditions are causality and non-singularity. They apply to all small-signal dynamical system models, as for example arise in electrical networks. Another important example is automatic control. Part 1 of this book also re-interprets the classic works of Nyquist and Bode to establish that the uncontrolled system must also not be singular; nor must the controlled system encounter singularity. But Part 1 goes much further. It shows that these fundamental properties, in particular non-singularity, must obtain for all small-signal system models regardless of how many inputs and outputs the system happens to have. So, small-signal automatic control for instance is all of a piece. It is that simple. 


As for singular perturbations in Part 2, these little fellows simply pop up all over the place, sometimes where you least expect them. New associated low-frequency and high-frequency system transfer-function models are presented with almost insolent ease. Part 2 achieves for the frequency domain what standard singular perturbation theory does for the time domain. Moreover, even the standard nonlinear singularly perturbed system model does not escape scrutiny. Which model to choose? It could be important. Part 2 is an indispensable aid to modellers across the engineering spectrum seeking generic low-frequency and high-frequency models for what they do.

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The author is neither a manufacturer nor a retailer of Hi-Fi products. An electrical engineer by profession, the author brings a lifelong passion in music and its satisfactory reproduction to bear upon the most basic of questions. Is Hi-Fi for you? This fundamental question has never been answered. Until now. The author's considerable love of music, and experience of using high-fidelity systems, is marshalled to this end. Satisfactory sound reproduction of your favourite music at low cost is easier than you think; high-fidelity sound reproduction while retaining good value is a lot harder than it might appear.

For Dynamical Systems aficionados:

John O'Reilly is Emeritus Professor of Engineering at the University of Glasgow, UK. One of the greatest engineers of his generation, Professor O'Reilly quickly rose to international standing in a number of areas of control theory: observers, parametric eigenstructure assignment, singular perturbation methods, and coordinated decentralised control. The last area of coordinated decentralised control, developed after a year of 'wood-shedding' on industrial practice amid numerous discussions with the Strathclyde Professor of Design, saw the final move to power systems and power electronics. Damping and synchronising torque experts may demur but Professor O'Reilly lays claim to the only complete explanation as to how a power system stabiliser, a control device, actually works. A past Editor of the International Journal of Control, Dr O'Reilly was once rebuked by his Head of Department for publishing too much. His final oeuvre is thankfully modest by today's dizzyingly high levels of publication. The latter part of his career saw much collaboration with leading European companies in the power system, aerospace and automotive sectors. Professor O'Reilly owes a great debt of gratitude to colleagues, co-workers and students in many lands over many decades in diverse engineering fields. Earlier academic positions at Queen's University Belfast, Liverpool and Strathclyde have been formative. Professor O'Reilly has also enjoyed fruitful study visits to the Universities of Illinois, Notre-Dame, Stanford, Santa Barbara and Canterbury New Zealand.

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