S Variable Approach To Lmi Based Robust Control

Author : Yoshio Ebihara,Dimitri Peaucelle,Denis Arzelier
Publisher : Springer
Page : 260 pages
File Size : 54,9 Mb
Release : 2014-10-16
Category : Technology & Engineering
ISBN : 9781447166061

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S-Variable Approach to LMI-Based Robust Control by Yoshio Ebihara,Dimitri Peaucelle,Denis Arzelier Pdf

This book shows how the use of S-variables (SVs) in enhancing the range of problems that can be addressed with the already-versatile linear matrix inequality (LMI) approach to control can, in many cases, be put on a more unified, methodical footing. Beginning with the fundamentals of the SV approach, the text shows how the basic idea can be used for each problem (and when it should not be employed at all). The specific adaptations of the method necessitated by each problem are also detailed. The problems dealt with in the book have the common traits that: analytic closed-form solutions are not available; and LMIs can be applied to produce numerical solutions with a certain amount of conservatism. Typical examples are robustness analysis of linear systems affected by parametric uncertainties and the synthesis of a linear controller satisfying multiple, often conflicting, design specifications. For problems in which LMI methods produce conservative results, the SV approach is shown to achieve greater accuracy. The authors emphasize the simplicity and easy comprehensibility of the SV approach and show how it can be implemented in programs without difficulty so that its power becomes readily apparent. The S-variable Approach to LMI-based Robust Control is a useful reference for academic control researchers, applied mathematicians and graduate students interested in LMI methods and convex optimization and will also be of considerable assistance to practising control engineers faced with problems of conservatism in their systems and controllers.

Author : Jiwei Wen,Alireza Nasiri,Dhafer J. Almakhles,Sing Kiong Nguang
Publisher : Academic Press
Page : 222 pages
File Size : 46,5 Mb
Release : 2019-06-21
Category : Technology & Engineering
ISBN : 9780128148686

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Non-Monotonic Approach to Robust H-Infinity Control of Multi-Model Systems by Jiwei Wen,Alireza Nasiri,Dhafer J. Almakhles,Sing Kiong Nguang Pdf

Non-monotonic Approach to Robust H∞ Control of Multi-model Systems focuses on robust analysis and synthesis problems for multi-model systems based on the non-monotonic Lyapunov Functionals (LFs) approach that enlarges the stability region and improves control performance. By fully considering the diversity of switching laws, the multi-step time difference, the multi-step prediction, and the expansion of system dimension, the non-monotonic LF can be properly constructed. The focus of this book is placed on the H∞ state feedback control, H∞ filtering and H∞ output feedback control for multi-model systems via a non-monotonic LF approach. The book's authors provide illustrative examples to show the feasibility and efficiency of the proposed methods, along with practical examples that demonstrate the effectiveness and potential of theoretical results. Offers tools for the analysis and design of control processes where the process can be represented by multi-models Presents a comprehensive explanation of recent developments in non-monotonic approaches to robust H-infinity control of multi-model systems Gives numerical examples and simulation results in each chapter to demonstrate engineering potential

Author : Tamer Başar
Publisher : Springer
Page : 618 pages
File Size : 45,6 Mb
Release : 2018-12-14
Category : Science
ISBN : 9783030046309

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Uncertainty in Complex Networked Systems by Tamer Başar Pdf

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.

Author : Ivo Petráš
Publisher : Walter de Gruyter GmbH & Co KG
Page : 435 pages
File Size : 48,8 Mb
Release : 2019-02-19
Category : Mathematics
ISBN : 9783110571745

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Applications in Control by Ivo Petráš Pdf

This multi-volume handbook is the most up-to-date and comprehensive reference work in the field of fractional calculus and its numerous applications. This sixth volume collects authoritative chapters covering several applications of fractional calculus in control theory, including fractional controllers, design methods and toolboxes, and a large number of engineering applications of control.

Author : Hui Zhang,Rongrong Wang,Junmin Wang
Publisher : Springer Nature
Page : 217 pages
File Size : 54,6 Mb
Release : 2023-06-10
Category : Technology & Engineering
ISBN : 9789811985096

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Robust Gain-Scheduled Estimation and Control of Electrified Vehicles via LPV Technique by Hui Zhang,Rongrong Wang,Junmin Wang Pdf

This book presents techniques such as the robust control and nonlinearity approximation using linear-parameter-varying (LPV) techniques. Meanwhile, the control of independently driven electric vehicles and autonomous vehicles is introduced. It covers a comprehensive literature review, robust state estimation with uncertain measurements, sideslip angle estimation with finite-frequency optimization, fault detection of vehicle steering systems, output-feedback control of in-wheel motor-driven electric vehicles, robust path following control with network-induced issues, and lateral motion control with the consideration of actuator saturation. This book is a good reference for researchers and engineers working on control of electric vehicles.

Author : Andrzej Bartoszewicz
Publisher : BoD – Books on Demand
Page : 696 pages
File Size : 41,9 Mb
Release : 2011-04-11
Category : Science
ISBN : 9789533072296

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Robust Control by Andrzej Bartoszewicz Pdf

The main objective of this monograph is to present a broad range of well worked out, recent theoretical and application studies in the field of robust control system analysis and design. The contributions presented here include but are not limited to robust PID, H-infinity, sliding mode, fault tolerant, fuzzy and QFT based control systems. They advance the current progress in the field, and motivate and encourage new ideas and solutions in the robust control area.

Author : Axaykumar Mehta,Bijnan Bandyopadhyay
Publisher : Springer
Page : 95 pages
File Size : 46,8 Mb
Release : 2015-01-05
Category : Technology & Engineering
ISBN : 9788132222385

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Frequency-Shaped and Observer-Based Discrete-time Sliding Mode Control by Axaykumar Mehta,Bijnan Bandyopadhyay Pdf

It is well established that the sliding mode control strategy provides an effective and robust method of controlling the deterministic system due to its well-known invariance property to a class of bounded disturbance and parameter variations. Advances in microcomputer technologies have made digital control increasingly popular among the researchers worldwide. And that led to the study of discrete-time sliding mode control design and its implementation. This brief presents, a method for multi-rate frequency shaped sliding mode controller design based on switching and non-switching type of reaching law. In this approach, the frequency dependent compensator dynamics are introduced through a frequency-shaped sliding surface by assigning frequency dependent weighing matrices in a linear quadratic regulator (LQR) design procedure. In this way, the undesired high frequency dynamics or certain frequency disturbance can be eliminated. The states are implicitly obtained by measuring the output at a faster rate than the control. It is also known that the vibration control of smart structure is a challenging problem as it has several vibratory modes. So, the frequency shaping approach is used to suppress the frequency dynamics excited during sliding mode in smart structure. The frequency content of the optimal sliding mode is shaped by using a frequency dependent compensator, such that a higher gain can be obtained at the resonance frequencies. The brief discusses the design methods of the controllers based on the proposed approach for the vibration suppression of the intelligent structure. The brief also presents a design of discrete-time reduced order observer using the duality to discrete-time sliding surface design. First, the duality between the coefficients of the discrete-time reduced order observer and the sliding surface design is established and then, the design method for the observer using Riccati equation is explained. Using the proposed method, the observer for the Power System Stabilizer (PSS) for Single Machine Infinite Bus (SMIB) system is designed and the simulation is carried out using the observed states. The discrete-time sliding mode controller based on the proposed reduced order observer design method is also obtained for a laboratory experimental servo system and verified with the experimental results.

Author : Andreas Müller
Publisher : BoD – Books on Demand
Page : 478 pages
File Size : 42,6 Mb
Release : 2011-11-07
Category : Science
ISBN : 9789533073392

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Recent Advances in Robust Control by Andreas Müller Pdf

Robust control has been a topic of active research in the last three decades culminating in H_2/H_\infty and \mu design methods followed by research on parametric robustness, initially motivated by Kharitonov's theorem, the extension to non-linear time delay systems, and other more recent methods. The two volumes of Recent Advances in Robust Control give a selective overview of recent theoretical developments and present selected application examples. The volumes comprise 39 contributions covering various theoretical aspects as well as different application areas. The first volume covers selected problems in the theory of robust control and its application to robotic and electromechanical systems. The second volume is dedicated to special topics in robust control and problem specific solutions. Recent Advances in Robust Control will be a valuable reference for those interested in the recent theoretical advances and for researchers working in the broad field of robotics and mechatronics.

Author : Yimin Zhou,Chen Qiao,Lianghong Wu,Huiyu Zhou
Publisher : Frontiers Media SA
Page : 152 pages
File Size : 41,9 Mb
Release : 2022-09-28
Category : Science
ISBN : 9782832500958

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Intelligent Control and Applications for Robotics by Yimin Zhou,Chen Qiao,Lianghong Wu,Huiyu Zhou Pdf

Author : Sajal Kumar Das,Md. Rabiul Islam,Wei Xu
Publisher : Springer Nature
Page : 382 pages
File Size : 53,5 Mb
Release : 2022-03-30
Category : Technology & Engineering
ISBN : 9789811698569

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Advances in Control Techniques for Smart Grid Applications by Sajal Kumar Das,Md. Rabiul Islam,Wei Xu Pdf

To meet the increasing demand of electrical power, the use of renewable energy-based smart grid is attracting significant attention in recent years throughout the world. The high penetration of renewable power in the smart grids is growing its importance due to its non-finishing, reusable, reliable, sustainable, lower cost, and available characteristics. The renewable energy-based smart grid technology may mitigate the increasing energy demands effectively and efficiently without hampering the environment. But the uncertain nature of renewable sources largely affects the operation of the smart grid by un-stabling the voltage and frequency that may introduces power quality and reliability problems, which requires special control techniques. This book investigates the challenges in controlling renewable energy-based smart grids and proposes different control techniques to control the voltage and frequency effectively to improve the power quality and reliability of the power grids. This book is a valuable resource for readers interested in practical solutions in smart grids and renewable energy systems.

Author : Ke Zhang,Bin Jiang,Peng Shi
Publisher : Springer
Page : 188 pages
File Size : 54,7 Mb
Release : 2012-10-16
Category : Technology & Engineering
ISBN : 9783642339868

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Observer-Based Fault Estimation and Accomodation for Dynamic Systems by Ke Zhang,Bin Jiang,Peng Shi Pdf

Due to the increasing security and reliability demand of actual industrial process control systems, the study on fault diagnosis and fault tolerant control of dynamic systems has received considerable attention. Fault accommodation (FA) is one of effective methods that can be used to enhance system stability and reliability, so it has been widely and in-depth investigated and become a hot topic in recent years. Fault detection is used to monitor whether a fault occurs, which is the first step in FA. On the basis of fault detection, fault estimation (FE) is utilized to determine online the magnitude of the fault, which is a very important step because the additional controller is designed using the fault estimate. Compared with fault detection, the design difficulties of FE would increase a lot, so research on FE and accommodation is very challenging. Although there have been advancements reported on FE and accommodation for dynamic systems, the common methods at the present stage have design difficulties, which limit applications of respective design approaches. Therefore, the problems of FE and accommodation are needed to be further studied. This book considers the theory and technology of FE and accommodation for dynamic systems, and establishes a systemic and comprehensive framework of FE and accommodation for continuous/discrete-time systems.

Author : Andreas Rauh,Luise Senkel
Publisher : Springer
Page : 361 pages
File Size : 54,8 Mb
Release : 2016-05-17
Category : Technology & Engineering
ISBN : 9783319315393

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Variable-Structure Approaches by Andreas Rauh,Luise Senkel Pdf

This edited book aims at presenting current research activities in the field of robust variable-structure systems. The scope equally comprises highlighting novel methodological aspects as well as presenting the use of variable-structure techniques in industrial applications including their efficient implementation on hardware for real-time control. The target audience primarily comprises research experts in the field of control theory and nonlinear dynamics but the book may also be beneficial for graduate students.

Author : Yu Feng,Mohamed Yagoubi
Publisher : Springer
Page : 142 pages
File Size : 40,8 Mb
Release : 2017-03-02
Category : Technology & Engineering
ISBN : 9789811036774

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Robust Control of Linear Descriptor Systems by Yu Feng,Mohamed Yagoubi Pdf

This book develops original results regarding singular dynamic systems following two different paths. The first consists of generalizing results from classical state-space cases to linear descriptor systems, such as dilated linear matrix inequality (LMI) characterizations for descriptor systems and performance control under regulation constraints. The second is a new path, which considers descriptor systems as a powerful tool for conceiving new control laws, understanding and deciphering some controller’s architecture and even homogenizing different—existing—ways of obtaining some new and/or known results for state-space systems. The book also highlights the comprehensive control problem for descriptor systems as an example of using the descriptor framework in order to transform a non-standard control problem into a classic stabilization control problem. In another section, an accurate solution is derived for the sensitivity constrained linear optimal control also using the descriptor framework. The book is intended for graduate and postgraduate students, as well as researchers in the field of systems and control theory.

Author : Yong Zhou,JinRong Wang,Lu Zhang
Publisher : World Scientific
Page : 380 pages
File Size : 52,6 Mb
Release : 2016-10-20
Category : Mathematics
ISBN : 9789813148185

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Basic Theory of Fractional Differential Equations by Yong Zhou,JinRong Wang,Lu Zhang Pdf

This invaluable monograph is devoted to a rapidly developing area on the research of qualitative theory of fractional ordinary and partial differential equations. It provides the readers the necessary background material required to go further into the subject and explore the rich research literature. The tools used include many classical and modern nonlinear analysis methods such as fixed point theory, measure of noncompactness method, topological degree method, the technique of Picard operators, critical point theory and semigroup theory. Based on the research work carried out by the authors and other experts during the past seven years, the contents are very recent and comprehensive. In this edition, two new topics have been added, that is, fractional impulsive differential equations, and fractional partial differential equations including fractional Navier–Stokes equations and fractional diffusion equations. Contents:Preliminaries:IntroductionSome Notations, Concepts and LemmasFractional CalculusSome Results from Nonlinear AnalysisSemigroupsFractional Functional Differential Equations:IntroductionNeutral Equations with Bounded Delayp-Type Neutral EquationsNeutral Equations with Infinite DelayIterative Functional Differential EquationsNotes and RemarksFractional Ordinary Differential Equations in Banach Spaces:IntroductionCauchy Problems via Measure of Noncompactness MethodCauchy Problems via Topological Degree MethodCauchy Problems via Picard Operators TechniqueNotes and RemarksFractional Abstract Evolution Equations:IntroductionEvolution Equations with Riemann–Liouville DerivativeEvolution Equations with Caputo DerivativeNonlocal Problems for Evolution EquationsAbstract Cauchy Problems with Almost Sectorial OperatorsNotes and RemarksFractional Impulsive Differential Equations:IntroductionImpulsive Initial Value ProblemsImpulsive Boundary Value ProblemsImpulsive Langevin EquationsImpulsive Evolution EquationsNotes and RemarksFractional Boundary Value Problems:IntroductionSolution for BVP with Left and Right Fractional IntegralsMultiple Solutions for BVP with ParametersInfinite Solutions for BVP with Left and Right Fractional IntegralsSolutions for BVP with Left and Right Fractional DerivativesNotes and RemarksFractional Partial Differential Equations:IntroductionFractional Navier–Stokes EquationsFractional Euler–Lagrange EquationsFractional Diffusion EquationsFractional Schrödinger EquationsNotes and Remarks Readership: Researchers and graduate or PhD students dealing with fractional calculus and applied analysis, differential equations and related areas of research.

Author : Geir E. Dullerud,Fernando Paganini
Publisher : Springer Science & Business Media
Page : 427 pages
File Size : 47,6 Mb
Release : 2013-03-14
Category : Technology & Engineering
ISBN : 9781475732900

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A Course in Robust Control Theory by Geir E. Dullerud,Fernando Paganini Pdf

During the 90s robust control theory has seen major advances and achieved a new maturity, centered around the notion of convexity. The goal of this book is to give a graduate-level course on this theory that emphasizes these new developments, but at the same time conveys the main principles and ubiquitous tools at the heart of the subject. Its pedagogical objectives are to introduce a coherent and unified framework for studying the theory, to provide students with the control-theoretic background required to read and contribute to the research literature, and to present the main ideas and demonstrations of the major results. The book will be of value to mathematical researchers and computer scientists, graduate students planning to do research in the area, and engineering practitioners requiring advanced control techniques.