H -Control Theory

Lectures given at the 2nd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Como, Italy, June 18-26, 1990

Author: Edoardo Mosca,Luciano Pandolfi

Publisher: Springer

ISBN: 3540466045

Category: Mathematics

Page: 328

View: 9065

The fundamental problem in control engineering is to provide robust performance to uncertain plants. H -control theory began in the early eighties as an attempt to lay down rigorous foundations on the classical robust control requirements. It now turns out that H -control theory is at the crossroads of several important directions of research space or polynomial approach to control and classical interpolation theory; harmonic analysis and operator theory; minimax LQ stochastic control and integral equations. The book presents the underlying fundamental ideas, problems and advances through the pen of leading contributors to the field, for graduate students and researchers in both engineering and mathematics. From the Contents: C. Foias: Commutant Lifting Techniques for Computing Optimal H Controllers.- B.A. Francis: Lectures on H Control and Sampled-Data Systems.- J.W. Helton: Two Topics in Systems Engineering Frequency Domain Design and Nonlinear System.- H. Kwakernaak: The Polynomial Approach to H -Optimal Regulation.- J.B. Pearson: A Short Course in l - Optimal Control
Posted in Mathematics

Optimale lineare Regelung

Grenzen der erreichbaren Regelgüte in linearen zeitinvarianten Regelkreisen

Author: Sebastian Engell

Publisher: Springer-Verlag

ISBN: 3642834434

Category: Mathematics

Page: 307

View: 4102

Gegenstand des Buches ist die Bestimmung der bestmöglichen erreichbaren Regelgüte in linearen zeitinvarianten Regelkreisen. Hierbei werden keine Einschränkungen bezüglich der Struktur der Regelstrecke oder der Regler gemacht. Ausgangspunkt der Untersuchungen ist eine praxisnahe Spezifikation des gewünschten Regelkreisverhaltens, die Stabilität, gutes Folgeverhalten und Robustheit sicherstellt, in Form von Schranken für bestimmte Frequenzgänge des geschlossenen Regelkreises. Es wird dann schrittweise die mathematische Theorie entwickelt, mit der sich die Einhaltbarkeit solcher Spezifikationen für ein gegebenes Streckenmodell überprüfen und die optimale Regelgüte ermitteln läßt. Dies geschieht zunächst ausführlich für zeitkontinuierliche Eingrößenregelkreise. Mit Hilfe einer neu entwickelten Methode zur numerischen Auswertung der resultierenden Bedingungen wurden erstmals für die wichtigsten Streckentypen Diagramme berechnet, die exakt die notwendigen Kompromisse bei der Regelkreisspezifikation angeben. Unter Benutzung der w-Transformation werden die Ergebnisse auf zeitdiskrete Regelungen übertragen. Eine knappe Darstellung der Verallgemeinerung der Methodik auf Mehrgrößenregelungen bildet den Abschluß des Buches. Da die erforderliche Robustheit des Regelkreises Bestandteil der Spezifikation ist, liefert die dargestellte Theorie auch eine Aussage darüber, ob für ein konkretes Problem festeingestellte lineare Regler ausreichend sind, oder ob zu komplexeren Regelungen (nicht-linear, schaltend, adaptiv) übergegangen werden muß, um die geforderte Regelgüte zu erreichen.
Posted in Mathematics

European Control Conference 1993

Volume 2

Author: N.A

Publisher: European Control Association

ISBN: 9789036703741

Category: Automatic control

Page: 2388

View: 1083

Proceedings of the European Control Conference 1993, Groningen, Netherlands, June 28 – July 1, 1993
Posted in Automatic control

H∞-Control for Distributed Parameter Systems: A State-Space Approach

Author: Bert van Keulen

Publisher: Springer Science & Business Media

ISBN: 1461203473

Category: Juvenile Nonfiction

Page: 243

View: 4559

VI 5.3 Proof of the measurement-feedback result. 144 5.4 Relaxation of the a priori assumptions .. 165 5.4.1 Including the feedthroughs . . . . . 165 5.4.2 How to 'remove' the regularity assumptions 174 6 Examples and conclusions 177 6.1 Delay systems in state-space . . . . . . . . . . 177 6.1.1 Dynamic controllers for delay systems. 180 184 6.1.2 A linear quadratic control problem . . 6.1.3 Duality ............... . . 189 6.2 The mixed-sensitivity problem for delay systems 192 6.2.1 Introduction and statement of the problem. 192 6.2.2 Main result .............. . 194 6.3 Conclusions and directions for future research. 200 A Stability theory 205 A.1 205 A.2 206 B Differentiability and some convergence results 207 B.l 207 208 B.2 B.3 209 209 B.4 B.5 209 B.6 211 B.7 213 214 C The invariant zeros condition C.1 214 221 D The relation between P, Q and P 221 D.1 ............ .... . Bibliography 230 239 Index Preface Control of distributed parameter systems is a fascinating and challenging top ic, from both a mathematical and an applications point of view. The same can be said about Hoc-control theory, which has become very popular lately. I am therefore pleased to present in this book a complete treatment of the state-space solution to the Hoo-control problem for a large class of distributed parameter systems.
Posted in Juvenile Nonfiction

Mathematical System Theory

The Influence of R. E. Kalman

Author: Athanasios C. Antoulas

Publisher: Springer Science & Business Media

ISBN: 3662085461

Category: Technology & Engineering

Page: 605

View: 2050

Over the past three decades R.E. Kalman has been one of the most influential personalities in system and control theory. His ideas have been instrumental in a variety of areas. This is a Festschrift honoring his 60th birthday. It contains contributions from leading researchers in the field giving an account of the profound influence of his ideas in a number of areas of active research in system and control theory. For example, since their introduction by Kalman in the early 60's, the concepts of controllability and observability of dynamical systems with inputs, have been the corner stone of the great majority of investigations in the field.
Posted in Technology & Engineering

Advanced Topics in Control Systems Theory

Lecture Notes from FAP 2005

Author: Antonio Loría,Françoise Lamnabhi-Lagarrigue

Publisher: Springer Science & Business Media

ISBN: 9781846283130

Category: Language Arts & Disciplines

Page: 289

View: 661

Advanced Topics in Control Systems Theory contains selected contributions written by lecturers at the third (annual) Formation d’Automatique de Paris (FAP) (Graduate Control School in Paris). Following on from the lecture notes from the second FAP (Volume 311 in the same series) it is addressed to graduate students and researchers in control theory with topics touching on a variety of areas of interest to the control community such as nonlinear optimal control, observer design, stability analysis and structural properties of linear systems. The reader is provided with a well-integrated synthesis of the latest thinking in these subjects without the need for an exhaustive literature review. The internationally known contributors to this volume represent many of the most reputable control centers in Europe. Advanced Topics in Control Systems Theory can be used to support either a one-term general advanced course on nonlinear control theory, devoting a few lectures to each chapter, or for more focused and intensive courses at graduate level. The book’s concise but pedagogical manner will give an ideal start to researchers wishing to broaden their knowledge in aspects of modern control theory outside their own expertise.
Posted in Language Arts & Disciplines

H∞ Control and Its Applications

Author: Ben M. Chen

Publisher: Springer

ISBN: 1846285291

Category: Technology & Engineering

Page: 355

View: 4696

H... control theory is a subject that deals with the minimisation of the H... norm of the transfer matrix from an exogenous disturbance to a pertinent controlled output of a given plant. H... Control and Its Applications examines both the theoretical and practical aspects of H... control from the angle of the structural properties of linear systems. Constructive algorithms for finding solutions to general singular H... control problems are presented, as well as solutions to general H... almost disturbance decoupling problems, and the applications of the theory to real-life problems with actual implementations is also presented. The book deals with all such issues for general continuous - and discrete-time systems. The book can be used in graduate courses in departments of aeronautics and astronautics, applied mathematics, chemical engineering, electrical engineering and mechanical engineering. It is also invaluable for practising engineers in industry.
Posted in Technology & Engineering

Advanced Topics in Control Systems Theory

Lecture Notes from FAP 2004

Author: Françoise Lamnabhi-Lagarrigue,Antonio Loría,Antonio Loria

Publisher: Springer Science & Business Media

ISBN: 9781852339234

Category: Language Arts & Disciplines

Page: 280

View: 1381

Advanced Topics in Control Systems Theory contains selected contributions written by lecturers at the second (annual) Formation d’Automatique de Paris (FAP) (Graduate Control School in Paris). It is addressed to graduate students and researchers in control theory with topics touching on a variety of areas of interest to the control community such as cascaded systems, flatness, optimal control, and Hamiltonian and infinite-dimensional systems. The reader is provided with a well-integrated synthesis of the latest thinking in these subjects without the need for an exhaustive literature review. The internationally known contributors to this volume represent many of the most reputable control centers in Europe. Advanced Topics in Control Systems Theory can be used to support either a one-term general advanced course on nonlinear control theory, devoting a few lectures to each chapter, or for more focused and intensive courses at graduate level. The book’s concise but pedagogical manner will give an ideal start to researchers wishing to broaden their knowledge in aspects of modern control theory outside their own expertise.
Posted in Language Arts & Disciplines

SIAM Journal on Control and Optimization

Author: Society for Industrial and Applied Mathematics

Publisher: N.A

ISBN: N.A

Category: Automatic control

Page: N.A

View: 7491

Posted in Automatic control

Optimal Control

Author: Frank L. Lewis,Draguna Vrabie,Vassilis L. Syrmos

Publisher: John Wiley & Sons

ISBN: 1118122720

Category: Technology & Engineering

Page: 552

View: 7754

A NEW EDITION OF THE CLASSIC TEXT ON OPTIMAL CONTROL THEORY As a superb introductory text and an indispensable reference, this new edition of Optimal Control will serve the needs of both the professional engineer and the advanced student in mechanical, electrical, and aerospace engineering. Its coverage encompasses all the fundamental topics as well as the major changes that have occurred in recent years. An abundance of computer simulations using MATLAB and relevant Toolboxes is included to give the reader the actual experience of applying the theory to real-world situations. Major topics covered include: Static Optimization Optimal Control of Discrete-Time Systems Optimal Control of Continuous-Time Systems The Tracking Problem and Other LQR Extensions Final-Time-Free and Constrained Input Control Dynamic Programming Optimal Control for Polynomial Systems Output Feedback and Structured Control Robustness and Multivariable Frequency-Domain Techniques Differential Games Reinforcement Learning and Optimal Adaptive Control
Posted in Technology & Engineering

Control Theory in the Plane

Author: Otomar Hájek

Publisher: Springer Science & Business Media

ISBN: 3540852549

Category: Technology & Engineering

Page: 220

View: 2239

An important scienti?c innovation rarely makes its way by gradually winning over and converting its opponents. . . What does happen is that its opponents die out and that the growing generation is familiarised with the idea from the beginning. (Max Planck, 1936) Humans have always attempted to in?uence their environment. Indeed, it seems likely that the understanding of aspects of this environment, and its control, whether by trial-and-error or by actual study and analysis, are crucial to the very process of civilisation. As an illustration, boats and ships were used even in pre-history for ?shing, tra- port, discovery, and trade. Small sailing craft are controlled primarily by working the main-sheet and rudder in conjunction. Once mastered, further experimentation (see e. g. the ?fth chapter of the Kon Tiki Expedition, with an entertaining account of the possible use of multiple movable centerboards on a sailing raft) led to a - sic change: keeled hulls and corresponding rigging, which made sailing against the wind possible. This was a relatively recent feature: even the far-voyaging Vikings relied primarily on beachable ships and recourse to oars. It was probably crucial in the west-to-east settlement of Oceania, from Taiwan to Easter Island. A 20th century development is the self-steering device, which regulates boat travel au- matically under mildly varying wind conditions; but this has had a much smaller social impact.
Posted in Technology & Engineering

H-infinity Control and Estimation of State-multiplicative Linear Systems

Author: Eli Gershon,Uri Shaked,Isaac Yaesh

Publisher: Springer Science & Business Media

ISBN: 9781852339975

Category: Technology & Engineering

Page: 249

View: 2196

Multiplicative noise appears in systems where the process or measurement noise levels depend on the system state vector. Such systems are relevant, for example, in radar measurements where larger ranges involve higher noise level. This monograph embodies a comprehensive survey of the relevant literature with basic problems being formulated and solved by applying various techniques including game theory, linear matrix inequalities and Lyapunov parameter-dependent functions. Topics covered include: convex H2 and H-infinity norms analysis of systems with multiplicative noise; state feedback control and state estimation of systems with multiplicative noise; dynamic and static output feedback of stochastic bilinear systems; tracking controllers for stochastic bilinear systems utilizing preview information. Various examples which demonstrate the applicability of the theory to practical control engineering problems are considered; two such examples are taken from the aerospace and guidance control areas.
Posted in Technology & Engineering

Materials of the tutorial course EECS 760, Winter 1989

Nonlinear systems and their control

Author: Jessy W. Grizzle,University of Michigan. Dept. of Electrical Engineering and Computer Science

Publisher: N.A

ISBN: N.A

Category: Science

Page: 319

View: 4321

Posted in Science

Nonlinear and Optimal Control Theory

Lectures Given at the C.I.M.E. Summer School Held in Cetraro, Italy, June 19-29, 2004

Author: Andrei A. Agrachev,A. Stephen Morse,Eduardo D. Sontag,Hector J. Sussmann,Vadim I. Utkin

Publisher: Springer Science & Business Media

ISBN: 3540776443

Category: Language Arts & Disciplines

Page: 351

View: 4100

The lectures gathered in this volume present some of the different aspects of Mathematical Control Theory. Adopting the point of view of Geometric Control Theory and of Nonlinear Control Theory, the lectures focus on some aspects of the Optimization and Control of nonlinear, not necessarily smooth, dynamical systems. Specifically, three of the five lectures discuss respectively: logic-based switching control, sliding mode control and the input to the state stability paradigm for the control and stability of nonlinear systems. The remaining two lectures are devoted to Optimal Control: one investigates the connections between Optimal Control Theory, Dynamical Systems and Differential Geometry, while the second presents a very general version, in a non-smooth context, of the Pontryagin Maximum Principle. The arguments of the whole volume are self-contained and are directed to everyone working in Control Theory. They offer a sound presentation of the methods employed in the control and optimization of nonlinear dynamical systems.
Posted in Language Arts & Disciplines