Dependable Control of Uncertain Linear Systems Based on Set Theoretic Methods

Dependable Control of Uncertain Linear Systems Based on Set Theoretic Methods PDF Author: Plinio de Léon Cantón
Publisher:
ISBN: 9783832283728
Category :
Languages : en
Pages : 136

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Book Description

Dependable Control of Uncertain Linear Systems Based on Set Theoretic Methods

Dependable Control of Uncertain Linear Systems Based on Set Theoretic Methods PDF Author: Plinio de Léon Cantón
Publisher:
ISBN: 9783832283728
Category :
Languages : en
Pages : 136

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Book Description


Set-Theoretic Methods in Control

Set-Theoretic Methods in Control PDF Author: Franco Blanchini
Publisher: Birkhäuser
ISBN: 3319179330
Category : Science
Languages : en
Pages : 640

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Book Description
The second edition of this monograph describes the set-theoretic approach for the control and analysis of dynamic systems, both from a theoretical and practical standpoint. This approach is linked to fundamental control problems, such as Lyapunov stability analysis and stabilization, optimal control, control under constraints, persistent disturbance rejection, and uncertain systems analysis and synthesis. Completely self-contained, this book provides a solid foundation of mathematical techniques and applications, extensive references to the relevant literature, and numerous avenues for further theoretical study. All the material from the first edition has been updated to reflect the most recent developments in the field, and a new chapter on switching systems has been added. Each chapter contains examples, case studies, and exercises to allow for a better understanding of theoretical concepts by practical application. The mathematical language is kept to the minimum level necessary for the adequate formulation and statement of the main concepts, yet allowing for a detailed exposition of the numerical algorithms for the solution of the proposed problems. Set-Theoretic Methods in Control will appeal to both researchers and practitioners in control engineering and applied mathematics. It is also well-suited as a textbook for graduate students in these areas. Praise for the First Edition "This is an excellent book, full of new ideas and collecting a lot of diverse material related to set-theoretic methods. It can be recommended to a wide control community audience." - B. T. Polyak, Mathematical Reviews "This book is an outstanding monograph of a recent research trend in control. It reflects the vast experience of the authors as well as their noticeable contributions to the development of this field...[It] is highly recommended to PhD students and researchers working in control engineering or applied mathematics. The material can also be used for graduate courses in these areas." - Octavian Pastravanu, Zentralblatt MATH

Set-theoretic Approaches to the Aperiodic Control of Linear Systems

Set-theoretic Approaches to the Aperiodic Control of Linear Systems PDF Author: Florian D. Brunner
Publisher: Logos Verlag Berlin GmbH
ISBN: 3832546227
Category : Technology & Engineering
Languages : en
Pages : 244

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Book Description
In this thesis, we employ set-theoretic properties of additively disturbed linear discrete-time systems to develop stabilizing aperiodically updated control laws for plants controlled over communication networks. In particular, we design event-triggered and self-triggered controllers with a priori guarantees on closed-loop characteristics such as stability, asymptotic bound, and average communication rate. Different models for the disturbances are taken into account, namely arbitrary disturbances of which only a bound in the form of a compact set is known and stochastic disturbances with known probability distribution. For setups with hard constraints on the states and inputs, we propose aperiodic schemes based on robust model predictive control methods. Both the full information (state-feedback) case, as well as the limited information (output-feedback) case are investigated. It is demonstrated that the proposed controllers achieve a considerable reduction in the required network usage with only moderate or non-existing deterioration of the closed-loop properties guaranteed by comparable controllers that transmit information at every point in time.

Set-Theoretic Methods in Control

Set-Theoretic Methods in Control PDF Author: Franco Blanchini
Publisher: Birkhäuser
ISBN: 9780817670436
Category : Technology & Engineering
Languages : en
Pages : 0

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Book Description
This self-contained monograph describes basic set-theoretic methods for control. It provides a discussion of their links to fundamental problems in Lyapunov stability analysis and stabilization, optimal control, control under constraints, persistent disturbance rejection, and uncertain systems analysis and synthesis. The work presents several established and potentially new applications, along with numerical examples and case studies. A key theme is the trade-off between exact (but computationally intensive) and approximate (but conservative) solutions to problems. Mathematical language is kept to the minimum necessary.

Robust Control of Uncertain Dynamic Systems

Robust Control of Uncertain Dynamic Systems PDF Author: Rama K. Yedavalli
Publisher: Springer Science & Business Media
ISBN: 1461491320
Category : Technology & Engineering
Languages : en
Pages : 217

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Book Description
This textbook aims to provide a clear understanding of the various tools of analysis and design for robust stability and performance of uncertain dynamic systems. In model-based control design and analysis, mathematical models can never completely represent the “real world” system that is being modeled, and thus it is imperative to incorporate and accommodate a level of uncertainty into the models. This book directly addresses these issues from a deterministic uncertainty viewpoint and focuses on the interval parameter characterization of uncertain systems. Various tools of analysis and design are presented in a consolidated manner. This volume fills a current gap in published works by explicitly addressing the subject of control of dynamic systems from linear state space framework, namely using a time-domain, matrix-theory based approach. This book also: Presents and formulates the robustness problem in a linear state space model framework. Illustrates various systems level methodologies with examples and applications drawn from aerospace, electrical and mechanical engineering. Provides connections between lyapunov-based matrix approach and the transfer function based polynomial approaches. Robust Control of Uncertain Dynamic Systems: A Linear State Space Approach is an ideal book for first year graduate students taking a course in robust control in aerospace, mechanical, or electrical engineering.

Stability and Stabilization of Linear Systems with Saturating Actuators

Stability and Stabilization of Linear Systems with Saturating Actuators PDF Author: Sophie Tarbouriech
Publisher: Springer Science & Business Media
ISBN: 0857299417
Category : Technology & Engineering
Languages : en
Pages : 441

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Book Description
This monograph details basic concepts and tools fundamental for the analysis and synthesis of linear systems subject to actuator saturation and developments in recent research. The authors use a state-space approach and focus on stability analysis and the synthesis of stabilizing control laws in both local and global contexts. Different methods of modeling the saturation and behavior of the nonlinear closed-loop system are given special attention. Various kinds of Lyapunov functions are considered to present different stability conditions. Results arising from uncertain systems and treating performance in the presence of saturation are given. The text proposes methods and algorithms, based on the use of linear programming and linear matrix inequalities, for computing estimates of the basin of attraction and for designing control systems accounting for the control bounds and the possibility of saturation. They can be easily implemented with mathematical software packages.

Co-design Approaches to Dependable Networked Control Systems

Co-design Approaches to Dependable Networked Control Systems PDF Author: Daniel Simon
Publisher: John Wiley & Sons
ISBN: 1118620666
Category : Science
Languages : en
Pages : 261

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Book Description
Networked Control Systems (NCS) is a growing field of application and calls for the development of integrated approaches requiring multidisciplinary skills in control, real-time computing and communication protocols. This book describes co-design approaches, and establishes the links between the QoC (Quality of Control) and QoS (Quality of Service) of the network and computing resources. The methods and tools described in this book take into account, at design level, various parameters and properties that must be satisfied by systems controlled through a network. Among the important network properties examined are the QoC, the dependability of the system, and the feasibility of the real-time scheduling of tasks and messages. Correct exploitation of these approaches allows for efficient design, diagnosis, and implementation of the NCS. This book will be of great interest to researchers and advanced students in automatic control, real-time computing, and networking domains, and to engineers tasked with development of NCS, as well as those working in related network design and engineering fields.

Linear Systems

Linear Systems PDF Author: Guang-Hong Yang
Publisher: CRC Press
ISBN: 1466580364
Category : Technology & Engineering
Languages : en
Pages : 288

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Book Description
Linear Systems: Non-Fragile Control and Filtering presents the latest research results and a systematic approach to designing non-fragile controllers and filters for linear systems. The authors combine the algebraic Riccati technique, the linear matrix inequality (LMI) technique, and the sensitivity analysis method to establish a set of new non-fragile (insensitive) control methods. This proposed method can optimize the closed-loop system performance and make the designed controllers or filters tolerant of coefficient variations in controller or filter gain matrices. A Systematic Approach to Designing Non-Fragile Controllers and Filters for Linear Systems The text begins with developments and main research methods in non-fragile control. It then systematically presents novel methods for non-fragile control and filtering of linear systems with respect to additive/multiplicative controller/filter gain uncertainties. The book introduces the algebraic Riccati equation technique to solve additive/multiplicative norm-bounded controller/filter gain uncertainty, and proposes a structured vertex separator to deal with the numerical problem resulting from interval-bounded coefficient variations. It also explains how to design insensitive controllers and filters in the framework of coefficient sensitivity theory. Throughout, the book includes numerical examples to demonstrate the effectiveness of the proposed design methods. More Effective Design Methods for Non-Fragile Controllers and Filters The design and analysis tools described will help readers to better understand and analyze parameter uncertainties and to design more effective non-fragile controllers and filters. Providing a coherent approach, this book is a valuable reference for researchers, graduate students, and anyone who wants to explore the area of non-fragile control and filtering.

Dependable Software Engineering. Theories, Tools, and Applications

Dependable Software Engineering. Theories, Tools, and Applications PDF Author: Holger Hermanns
Publisher: Springer Nature
ISBN: 9819986648
Category : Computers
Languages : en
Pages : 448

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Book Description
This book constitutes the proceedings of the 9th International Symposium on Dependable Software Engineering, SETTA 2023, held in Nanjing, China, during November 27-29, 2023. The 24 full papers presented in this volume were carefully reviewed and selected from 78 submissions. They deal with latest research results and ideas on bridging the gap between formal methods and software engineering.

Uncertain Models and Robust Control

Uncertain Models and Robust Control PDF Author: Alexander Weinmann
Publisher: Springer Science & Business Media
ISBN: 3709167116
Category : Technology & Engineering
Languages : en
Pages : 699

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Book Description
This coherent introduction to the theory and methods of robust control system design clarifies and unifies the presentation of significant derivations and proofs. The book contains a thorough treatment of important material of uncertainties and robust control otherwise scattered throughout the literature.