The principal reason for using feedback is to reduce the effect of uncertainties in the description of a system which is to be controlled. H[infinity] loop-shaping is emerging as a powerful but straightforward method for designing robust feedback controllers for complex systems. However, in order to use this, or other modern design techniques, it is first necessary to generate an accurate model of the system (thus appearing to remove the reason for needing feedback in the first place). The v-gap metric is an attempt to resolve this paradox - by indicating in what sense a model should be accurate if it is to be useful for feedback design. This book develops in detail the H[infinity] loop-shaping design method, the v-gap metric and the relationship between the two, showing how they can be used together for successful feedback design.

The principal reason for using feedback is to reduce the effect of uncertainties in the description of a system which is to be controlled. H∞ loop-shaping is emerging as a powerful but straightforward method of designing robust feedback controllers for complex systems. However, in order to use this, or other modern design techniques, it is first necessary to generate an accurate model of the system (thus appearing to remove the reason for needing feedback in the first place). The ν-gap metric is an attempt to resolve this paradox — by indicating in what sense a model should be accurate if it is to be useful for feedback design.This book develops in detail the H∞ loop-shaping design method, the ν-gap metric and the relationship between the two, showing how they can be used together for successful feedback design.

L’approche loop-shaping consiste en l’obtention d’une spécification relative à la boucle ouverte de l’asservissement à partir de spécifications relatives à divers transferts en boucle fermée. Parce qu’il est plus simple de travailler sur un unique transfert (la boucle ouverte) plutôt que sur une multitude de transferts bouclés, cette approche s’avère particulièrement adaptée au contexte industriel. Cet ouvrage se concentre sur la déclinaison des spécifications de haut niveau vers une spécification de type loop-shaping, puis sur les techniques permettant d’intégrer pleinement cette démarche pour le calcul de correcteurs robustes et performants, en particulier par la synthèse H?. Modelage de la boucle ouverte escomptée, la synthèse H? par loop-shaping permet par ailleurs de stabiliser toute une boule de modèles grâce à la notion de gap métrique, ce qui s’avère particulièrement intéressant pour la prise en compte de contraintes industrielles. La volonté accrue de réaliser des asservissements à moindre coût et de plus en plus performants mène à l’optimisation de cette technique, la rendant indispensable à son domaine.

This Festschrift contains a collection of articles by friends, co-authors, colleagues, and former Ph.D. students of Keith Glover, Professor of Engineering at the University of Cambridge, on the occasion of his sixtieth birthday. Professor Glover's scientific work spans a wide variety of topics, the main themes being system identification, model reduction and approximation, robust controller synthesis, and control of aircraft and engines. The articles in this volume are a tribute to Professor Glover's seminal work in these areas.

In this book recent results of the GARTEUR (Group for Aeronautical Research and Technology in Europe) Action Group FM (AG11) are presented. The book focuses on analysis techniques for the flight clearance of highly augmented aircrafts, including contributions of 20 European aeronautical organisations such as National Research Centers, Aerospace Industries and Universities. The tasks and requirements of the Industrial Clearance Process for Flight Control Laws are presented as well as classical and particularly new analysis methods. The different methods are evaluated and compared and their potential application to Civil Aircraft is demonstrated.

The chapters in this volume, and the volume itself, celebrate the life and research of Roberto Tempo, a leader in the study of complex networked systems, their analysis and control under uncertainty, and robust designs. Contributors include authorities on uncertainty in systems, robustness, networked and network systems, social networks, distributed and randomized algorithms, and multi-agent systems—all fields that Roberto Tempo made vital contributions to. Additionally, at least one author of each chapter was a research collaborator of Roberto Tempo’s. This volume is structured in three parts. The first covers robustness and includes topics like time-invariant uncertainties, robust static output feedback design, and the uncertainty quartet. The second part is focused on randomization and probabilistic methods, which covers topics such as compressive sensing, and stochastic optimization. Finally, the third part deals with distributed systems and algorithms, and explores matters involving mathematical sociology, fault diagnoses, and PageRank computation. Each chapter presents exposition, provides new results, and identifies fruitful future directions in research. This book will serve as a valuable reference volume to researchers interested in uncertainty, complexity, robustness, optimization, algorithms, and networked systems.

Multivariable Feedback Control: Analysis and Design, Second Edition presents a rigorous, yet easily readable, introduction to the analysis and design of robust multivariable control systems. Focusing on practical feedback control and not on system theory in general, this book provides the reader with insights into the opportunities and limitations of feedback control. Taking into account the latest developments in the field, this fully revised and updated second edition: * features a new chapter devoted to the use of linear matrix inequalities (LMIs); * presents current results on fundamental performance limitations introduced by RHP-poles and RHP-zeros; * introduces updated material on the selection of controlled variables and self-optimizing control; * provides simple IMC tuning rules for PID control; * covers additional material including unstable plants, the feedback amplifier, the lower gain margin and a clear strategy for incorporating integral action into LQG control; * includes numerous worked examples, exercises and case studies, which make frequent use of Matlab and the new Robust Control toolbox. Multivariable Feedback Control: Analysis and Design, Second Edition is an excellent resource for advanced undergraduate and graduate courses studying multivariable control. It is also an invaluable tool for engineers who want to understand multivariable control, its limitations, and how it can be applied in practice. The analysis techniques and the material on control structure design should prove very useful in the new emerging area of systems biology. Reviews of the first edition: "Being rich in insights and practical tips on controller design, the book should also prove to be very beneficial to industrial control engineers, both as a reference book and as an educational tool." Applied Mechanics Reviews "In summary, this book can be strongly recommended not only as a basic text in multivariable control techniques for graduate and undergraduate students, but also as a valuable source of information for control engineers." International Journal of Adaptive Control and Signal Processing