Search results for: controlled-and-conditioned-invariance

Controlled and Conditioned Invariants in Linear System Theory

Author : Giuseppe Basile
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Using a geometric approach to system theory, this work discusses controlled and conditioned invariance to geometrical analysis and design of multivariable control systems, presenting new mathematical theories, new approaches to standard problems and applied mathematics topics.

Controlled and Conditioned Invariant Subspaces in Linear System Theory

Author : Giuseppe Basile
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The concept of invariance of a subspace under a linear transformation is strongly connected with controllability and observability problems of linear dynamical systems. In this paper we define 'controlled' and 'conditioned' invariant subspaces as a generalization of the simple invariants, for the purpose of investigating some further structural properties of linear systems. Moreover, we prove some fundamental theorems on which the computation of the above mentioned subspaces is based. Then we give two examples of practical application of the previously defined concepts concerning the determination of the constant output and perfect output controllability subspaces. (Author).

Controlled and Conditioned Invariance

Author : Giuseppe Basile
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The Control Handbook

Author : William S. Levine
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This is the biggest, most comprehensive, and most prestigious compilation of articles on control systems imaginable. Every aspect of control is expertly covered, from the mathematical foundations to applications in robot and manipulator control. Never before has such a massive amount of authoritative, detailed, accurate, and well-organized information been available in a single volume. Absolutely everyone working in any aspect of systems and controls must have this book!

Controlled and Conditioned Invariant Varieties for Polynomial Control Systems

Author : Christian Schilli
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The Control Systems Handbook

Author : William S. Levine
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At publication, The Control Handbook immediately became the definitive resource that engineers working with modern control systems required. Among its many accolades, that first edition was cited by the AAP as the Best Engineering Handbook of 1996. Now, 15 years later, William Levine has once again compiled the most comprehensive and authoritative resource on control engineering. He has fully reorganized the text to reflect the technical advances achieved since the last edition and has expanded its contents to include the multidisciplinary perspective that is making control engineering a critical component in so many fields. Now expanded from one to three volumes, The Control Handbook, Second Edition organizes cutting-edge contributions from more than 200 leading experts. The third volume, Control System Advanced Methods, includes design and analysis methods for MIMO linear and LTI systems, Kalman filters and observers, hybrid systems, and nonlinear systems. It also covers advanced considerations regarding — Stability Adaptive controls System identification Stochastic control Control of distributed parameter systems Networks and networked controls As with the first edition, the new edition not only stands as a record of accomplishment in control engineering but provides researchers with the means to make further advances. Progressively organized, the first two volumes in the set include: Control System Fundamentals Control System Applications

Algebraic and Symbolic Computation Methods in Dynamical Systems

Author : Alban Quadrat
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This book aims at reviewing recent progress in the direction of algebraic and symbolic computation methods for functional systems, e.g. ODE systems, differential time-delay equations, difference equations and integro-differential equations. In the nineties, modern algebraic theories were introduced in mathematical systems theory and in control theory. Combined with real algebraic geometry, which was previously introduced in control theory, the past years have seen a flourishing development of algebraic methods in control theory. One of the strengths of algebraic methods lies in their close connections to computations. The use of the above-mentioned algebraic theories in control theory has been an important source of motivation to develop effective versions of these theories (when possible). With the development of computer algebra and computer algebra systems, symbolic methods for control theory have been developed over the past years. The goal of this book is to propose a partial state of the art in this direction. To make recent results more easily accessible to a large audience, the chapters include materials which survey the main mathematical methods and results and which are illustrated with explicit examples.

European Control Conference 1991

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Proceedings of the European Control Conference 1991, July 2-5, 1991, Grenoble, France

Systems Models and Feedback Theory and Applications

Author : A. Isidori
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It is a great honor and privilege to have this opportunity of celebrating the 65th birthday of Professor Antonio Ruberti by holding an International Conference on Systems, Models and Feedback. The conference, and this volume which contains its proceedings, is a tribute to Professor Ruberti in acknowledgement of his major contributions to System Theory, at a time in which this area was emerging and consolidat ing as an independent discipline, his role as a leader of the Italian academic community, his activity in promoting and fostering close scientific relations between Italian and U.S. scholars in Systems and Control. The format of this conference is inspired by a series of seminars initi ated exactly twenty years ago under the direction of Professor Ruberti, in Italy, and Professor R. R. Mohler, in the U.S. By bringing together many authoritative talents from both countries, these seminars were instrumental in promoting the expansion of System Theory in new areas, notably that of Nonlinear Control, and were the key to successful scientific careers for many of the younger attendants.

Analysis of Controlled Dynamical Systems

Author : B. Bonnard
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The conference "Analysis of Controlled Dynamical Systems" was held in July 1990 at the University of LYON FRANCE. About hundred participants attended this conference which lasted four days : There were 50 speakers from departments of Engineering and Mathematics in east and west Europe, USA and USSR. The general subject of the conference was system theory. The main topics were optimal control, structure and control of nonlinear systems, stabilization and observers, differential algebra and systems theory, nonlinear aspects of Hoc theory, rigid and flexible mechanical systems, nonlinear analysis of signals. We are indebted to the scientific committee John BAILLIEUL, Michel FLIESS, Bronislaw JAKUBCZYCK, Hector SUSSMANN, Jan WILLEMS. We gratefully acknowledge the time and thought they gave to this task. We would also like to thank Chris BYRNES for arranging for the publication of these proceedings through the series "Progress in Systems and Control Theory"; BIRKHAUSER. Finally, we are very grateful to the following institutions who through their financial support contributed essentially to the success of this conference : CNRS, Special year " Systemes Dynamiques", DRET, MEN-DAGIC, GRECO-AUTOMATIQUE, Claude Bernard Lyon I University, Entreprise Rhone-Alpes International, Conseil General du RhOne, the cities of LYON and VILLEURBANNE.

Multivariable Technological Systems

Author : D.P. Atherton
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Recent results in the development and application of analysis and design techniques for the control of multivariable systems are discussed in this volume.

Robust Control and Linear Parameter Varying Approaches

Author : Olivier Sename
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Vehicles are complex systems (non-linear, multi-variable) where the abundance of embedded controllers should ensure better security. This book aims at emphasizing the interest and potential of Linear Parameter Varying methods within the framework of vehicle dynamics, e.g. proposed control-oriented model, complex enough to handle some system non linearities but still simple for control or observer design, take into account the adaptability of the vehicle's response to driving situations, to the driver request and/or to the road sollicitations, manage interactions between various actuators to optimize the dynamic behavior of vehicles. This book results from the 32th International Summer School in Automatic that held in Grenoble, France, in September 2011, where recent methods (based on robust control and LPV technics), then applied to the control of vehicle dynamics, have been presented. After some theoretical background and a view on some recent works on LPV approaches (for modelling, analysis, control, observation and diagnosis), the main emphasis is put on road vehicles but some illustrations are concerned with railway, aerospace and underwater vehicles. The main objective of the book is to demonstrate the value of this approach for controlling the dynamic behavior of vehicles. It presents, in a rm way, background and new results on LPV methods and their application to vehicle dynamics.

Nonlinear Dynamical Control Systems

Author : Henk Nijmeijer
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This textbook on the differential geometric approach to nonlinear control grew out of a set of lecture notes , which were prepared for a course on nonlinear system theory , given by us for the first time during the fall semester of 1988 . The audience consisted mostly of graduate students , taking part in the Dutch national Graduate Program on Systems and Control . The aim of this course is to give a general introduction to modern nonlinear control theory (with an emphasis on the differential geometric approach), as well as to provide students specializing in nonlinear control theory with a firm starting point for doing research in this area . One of our primary objectives was to give a self-contained treatment of all the topics to be included. Since the literature on nonlinear geometric control theory is rapidly expanding this forced us to limit ourselves in the choice of topics . The task of selecting topics was further aggravated by the continual shift in emphasis in the nonlinear control literature over the last years . Therefore, we decided to concentrate on some rather solid and clear-cut achievements of modern nonlinear control , which can be expected to be of remaining interest in the near future. Needless to say, there is also a personal bias in the topics we have finally selected.

Control Theory for Linear Systems

Author : Harry L. Trentelman
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Control Theory for Linear Systems deals with the mathematical theory of feedback control of linear systems. It treats a wide range of control synthesis problems for linear state space systems with inputs and outputs. The book provides a treatment of these problems using state space methods, often with a geometric flavour. Its subject matter ranges from controllability and observability, stabilization, disturbance decoupling, and tracking and regulation, to linear quadratic regulation, H2 and H-infinity control, and robust stabilization. Each chapter of the book contains a series of exercises, intended to increase the reader's understanding of the material. Often, these exercises generalize and extend the material treated in the regular text.

The Mathematics of Networks of Linear Systems

Author : Paul A. Fuhrmann
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This book provides the mathematical foundations of networks of linear control systems, developed from an algebraic systems theory perspective. This includes a thorough treatment of questions of controllability, observability, realization theory, as well as feedback control and observer theory. The potential of networks for linear systems in controlling large-scale networks of interconnected dynamical systems could provide insight into a diversity of scientific and technological disciplines. The scope of the book is quite extensive, ranging from introductory material to advanced topics of current research, making it a suitable reference for graduate students and researchers in the field of networks of linear systems. Part I can be used as the basis for a first course in Algebraic System Theory, while Part II serves for a second, advanced, course on linear systems. Finally, Part III, which is largely independent of the previous parts, is ideally suited for advanced research seminars aimed at preparing graduate students for independent research. “Mathematics of Networks of Linear Systems” contains a large number of exercises and examples throughout the text making it suitable for graduate courses in the area.

The Control Handbook three volume set

Author : William S. Levine
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At publication, The Control Handbook immediately became the definitive resource that engineers working with modern control systems required. Among its many accolades, that first edition was cited by the AAP as the Best Engineering Handbook of 1996. Now, 15 years later, William Levine has once again compiled the most comprehensive and authoritative resource on control engineering. He has fully reorganized the text to reflect the technical advances achieved since the last edition and has expanded its contents to include the multidisciplinary perspective that is making control engineering a critical component in so many fields. Now expanded from one to three volumes, The Control Handbook, Second Edition brilliantly organizes cutting-edge contributions from more than 200 leading experts representing every corner of the globe. They cover everything from basic closed-loop systems to multi-agent adaptive systems and from the control of electric motors to the control of complex networks. Progressively organized, the three volume set includes: Control System Fundamentals Control System Applications Control System Advanced Methods Any practicing engineer, student, or researcher working in fields as diverse as electronics, aeronautics, or biomedicine will find this handbook to be a time-saving resource filled with invaluable formulas, models, methods, and innovative thinking. In fact, any physicist, biologist, mathematician, or researcher in any number of fields developing or improving products and systems will find the answers and ideas they need. As with the first edition, the new edition not only stands as a record of accomplishment in control engineering but provides researchers with the means to make further advances.

On the Observability of Linear Time invariant Systems with Unknown Inputs

Author : Giuseppe Basile
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The paper deals with the observation of linear time-invariant dynamical systems in the general case where some of the input functions are not known. By means of arguments based on the concepts of controlled and conditioned invariants, we find a convenient expression for the observability subspace, which subsumes the well-known expression for the case where the input functions are given. (Author).

Theory and Practice of Control and Systems

Author : A Tornambe
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This volume gathers together all the lectures presented at the 6th IEEE Mediterranean Conference. It focuses on the mathematical aspects in the theory and practice of control and systems, including stability and stabilizability, robust control, adaptive control, robotics and manufacturing; these topics are under intense investigation and development in the engineering and mathematics communities. The volume should have immediate appeal for a large group of engineers and mathematicians who are interested in very abstract as well as very concrete aspects of control and system theory. Contents: Quantified Multivariate Polynomial Inequalities: The Mathematics of (Almost) All Practical Control Design Problems (P Dorato)Digital Second Order Sliding Mode Control with Uncertainties Estimation for a Class of SISO Nonlinear Systems (G Bartolini et al.)Development and Identification of a Hierarchical System of Models for Rapid Prototyping of Si Engines (I Arsie et al.)Identification of Uncertainty Models for Robust Control Design (S Malan et al.)Second Order Chattering-Free Sliding Mode Control for Some Classes of Multi-Input Uncertain Nonlinear Systems (G Bartolini et al.)Sliding Mode Output Regulation of Linear and Nonlinear Systems with Relative Degree One (L Marconi et al.)Output Control of Nonlinear Systems with Multiple Discrete Delays (M Dalla Mora et al.)Analytical Synthesis of Least Curvature 2D Paths for Underwater Applications (G Indiveri et al.)Modelling and Control of Nonsmooth Hybrid Mechanical Systems (B Brogliato)Global Temperature Stabilization of Chemical Reactors with Bounded Control (R Antonelli & A Astolfi)Detection and Accommodation of Second Order Distributed Parameter Systems with Abrupt Changes in Input Term: Existence and Approximation (M A Demetriou et al.)Discrete-Event Models of Manufacturing Systems (E Canuto)Optimization of Internal Forces in Force-Closure Grasps (A Bicchi et al.)Loading Parts and Tools in a Flexible Manufacturing System (D Pacciarelli)and other papers Readership: Researchers in control & system theory, electrical & electronic engineering, mechanical & knowledge engineering and robotics.

New Directions and Applications in Control Theory

Author : Wijesuriya P. Dayawansa
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This volume contains a collection of papers in control theory and applications presented at a conference in honor of Clyde Martin on the occasion of his 60th birthday, held in Lubbock, Texas, November 14-15, 2003.

Applied Mechanics Reviews

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