Download or read book Model Reduction for Dynamic Systems with Time Delays written by Qing Wang and published by Open Dissertation Press. This book was released on 2017-01-27 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This dissertation, "Model Reduction for Dynamic Systems With Time Delays: a Linear Matrix Inequality Approach" by Qing, Wang, 王卿, was obtained from The University of Hong Kong (Pokfulam, Hong Kong) and is being sold pursuant to Creative Commons: Attribution 3.0 Hong Kong License. The content of this dissertation has not been altered in any way. We have altered the formatting in order to facilitate the ease of printing and reading of the dissertation. All rights not granted by the above license are retained by the author. Abstract: Abstract of thesis entitled Model Reduction for Dynamic Systems with Time Delays: A Linear Matrix Inequality Approach submitted by Qing Wang for the degree of Doctor of Philosophy at the University of Hong Kong April 2007 Studies of dynamic systems with time delays have received considerable research atten- tions in recent years because of their wide applicability in modeling a variety of physical systems. Thisstudyfocusesonderivingloworderdynamicsystemsfromhigherorderones accordingtocertainapproximationcriteria, withaparticularemphasisonthosewithtime delays. The proposed reduced order models guarantee the same structural characteristics astheoriginalones. Theapproximationcriterion is chosento bethe energy-to-peak gain, which is a new performance index for dynamic systems with time delays, or H norm of theerrorsystemsbetweentheoriginalsystemsandthereducedones. Themodelreduction problems are then formulated as sequential linear matrix inequality (LMI) minimization problems. Four di(R)erent kinds of dynamic systems are considered in this research: (a) retarded systems with time-varying delay; (b) neutral systems with time-varying delays; (c) polytopic systems with time-varying delays; and (d) discrete-time Markovian jump systems with mode-dependent time delays. Systematic studies are carried out to o(R)er the general solution to these problems and they are outlined as follows: (1) Performancecriteria. Delay-dependentperformanceconditionsrelatedtoenergy- to-peak gain or H norm of dynamic systems with time delays are given in terms of LMIs, which are crucial to the development of the proposed model reduction problems. The energy-to-peak gain performance of above systems is considered for the rst time and is also used as an approximation criterion for the proposed model reduction problems. (2) Characterization of reduced order models. The reduced order models with undetermined system matrices must assure the same structure as those of the orig- inal systems. The state variables of the error systems compose the states of the original and reduced order systems, and the output variables of the error systems are denoted by the di(R)erence between the outputs of the original systems and those of the reduced ones. With the aid of the projection lemma, delay-dependent su- cient conditions are derived for the characterization of the reduced order models in terms of LMIs with inverse constraints. They ensure that the reduced order models are stable and the energy-to-peak gain or H norm of the error systems is less than some given value. (3) Model reduction algorithms. Ecient algorithms designed based on the cone complementarity linearization (CCL) technique are applied to solve LMI problems under inverse constraints, which are further transformed into LMI minimization problems. Furthermore, the proposed algorithms are successfully implemented on the platform of Robust Control Toolbox of MATLAB. Detailed algorithms to con- struct the reduced order models are provided. (4) Numericalexamples. Todemonstratethee(R)ectivenessoftheCCLalgorithmand the validity of the theoretical results, numerical examples are provided to generate reduced order models for di(R)erent kinds of dynamic systems with time delays. DOI: 10.5353/th_b3864543 Subjects: Matrix inequalities Time delay systems System theory - Mathematical models

Download or read book Model Reduction for Dynamic Systems with Time Delays written by Qing Wang (Ph. D.) and published by . This book was released on 2007 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Model Reduction of Complex Dynamical Systems written by Peter Benner and published by Springer Nature. This book was released on 2021-08-26 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: This contributed volume presents some of the latest research related to model order reduction of complex dynamical systems with a focus on time-dependent problems. Chapters are written by leading researchers and users of model order reduction techniques and are based on presentations given at the 2019 edition of the workshop series Model Reduction of Complex Dynamical Systems – MODRED, held at the University of Graz in Austria. The topics considered can be divided into five categories: system-theoretic methods, such as balanced truncation, Hankel norm approximation, and reduced-basis methods; data-driven methods, including Loewner matrix and pencil-based approaches, dynamic mode decomposition, and kernel-based methods; surrogate modeling for design and optimization, with special emphasis on control and data assimilation; model reduction methods in applications, such as control and network systems, computational electromagnetics, structural mechanics, and fluid dynamics; and model order reduction software packages and benchmarks. This volume will be an ideal resource for graduate students and researchers in all areas of model reduction, as well as those working in applied mathematics and theoretical informatics.

Download or read book Optimal H2 Model Reduction for Dynamic Systems written by 張立茜 and published by . This book was released on 2017-01-27 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This dissertation, "Optimal H2 Model Reduction for Dynamic Systems" by 張立茜, Liqian, Zhang, was obtained from The University of Hong Kong (Pokfulam, Hong Kong) and is being sold pursuant to Creative Commons: Attribution 3.0 Hong Kong License. The content of this dissertation has not been altered in any way. We have altered the formatting in order to facilitate the ease of printing and reading of the dissertation. All rights not granted by the above license are retained by the author. DOI: 10.5353/th_b3124137 Subjects: Time delay systems System analysis - Mathematical models

Download or read book Time Delay Systems written by Tamás Insperger and published by Springer. This book was released on 2017-03-30 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume collects contributions related to selected presentations from the 12th IFAC Workshop on Time Delay Systems, Ann Arbor, June 28-30, 2015. The included papers present novel techniques and new results of delayed dynamical systems. The topical spectrum covers control theory, numerical analysis, engineering and biological applications as well as experiments and case studies. The target audience primarily comprises research experts in the field of time delay systems, but the book may also be beneficial for graduate students alike.

Download or read book Fuzzy Control Systems with Time Delay and Stochastic Perturbation written by Ligang Wu and published by Springer. This book was released on 2014-10-17 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents up-to-date research developments and novel methodologies on fuzzy control systems. It presents solutions to a series of problems with new approaches for the analysis and synthesis of fuzzy time-delay systems and fuzzy stochastic systems, including stability analysis and stabilization, dynamic output feedback control, robust filter design, and model approximation. A set of newly developed techniques such as fuzzy Lyapunov function approach, delay-partitioning, reciprocally convex, cone complementary linearization approach are presented. Fuzzy Control Systems with Time-Delay and Stochastic Perturbation: Analysis and Synthesis is a comprehensive reference for researcher and practitioners working in control engineering, system sciences and applied mathematics, and is also a useful source of information for senior undergraduates and graduates in these areas. The readers will benefit from some new concepts, new models and new methodologies with practical significance in control engineering and signal processing.

Download or read book Model reduction of two dimensional discrete time and delay systems written by Kamal Premaratne and published by . This book was released on 1988 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Intelligent Control Filtering and Model Reduction Analysis for Fuzzy Model Based Systems written by Xiaojie Su and published by Springer Nature. This book was released on 2021-08-17 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims to introduce the state-of-the-art research of stability/performance analysis and optimal synthesis methods for fuzzy-model-based systems. A series of problems are solved with new approaches of design, analysis and synthesis of fuzzy systems, including stabilization control and stability analysis, dynamic output feedback control, fault detection filter design, and reduced-order model approximation. Some efficient techniques, such as Lyapunov stability theory, linear matrix inequality, reciprocally convex approach, and cone complementary linearization method, are utilized in the approaches. This book is a comprehensive reference for researchers and practitioners working on intelligent control, model reduction, and fault detection of fuzzy systems, and is also a useful source of information for senior undergraduates and graduates in these areas. The readers will benefit from some new concepts and methodologies with theoretical and practical significance in system analysis and control synthesis.

Download or read book Feedback Stabilization of Controlled Dynamical Systems written by Nicolas Petit and published by Springer. This book was released on 2017-03-23 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a tribute to Professor Laurent Praly and follows on from a workshop celebrating the occasion of his 60th birthday. It presents new and unified visions of the numerous problems that Laurent Praly has worked on in his prolific career: adaptive control, output feedback and observers, stability and stabilization. His main contributions are the central topic of this book. The book collects contributions written by prominent international experts in the control community, addressing a rich variety of topics: emerging ideas, advanced applications, and theoretical concepts. Organized in three sections, the first section covers the field of adaptive control, where Laurent Praly started his career. The second section focuses on stabilization and output feedback, which is also the topic of the second half of his career. Lastly, the third section presents the emerging research that will form Laurent Praly’s scientific legacy.

Download or read book Complex Time Delay Systems written by Fatihcan M. Atay and published by Springer Science & Business Media. This book was released on 2010-03-24 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the major contemporary challenges in both physical and social sciences is modeling, analyzing, and understanding the self-organization, evolution, behavior, and eventual decay of complex dynamical systems ranging from cell assemblies to the human brain to animal societies. The multi-faceted problems in this domain require a wide range of methods from various scienti?c disciplines. There is no question that the inclusion of time delays in complex system models considerably enriches the challenges presented by the problems. Although this inclusion often becomes inevitable as real-world applications demand more and more realistic m- els, the role of time delays in the context of complex systems so far has not attracted the interest it deserves. The present volume is an attempt toward ?lling this gap. There exist various useful tools for the study of complex time-delay systems. At the forefront is the mathematical theory of delay equations, a relatively mature ?eld in many aspects, which provides some powerful techniques for analytical inquiries, along with some other tools from statistical physics, graph theory, computer science, dynamical systems theory, probability theory, simulation and optimization software, and so on. Nevertheless, the use of these methods requires a certain synergy to address complex systems problems, especially in the presence of time delays.

Download or read book Analysis and Synthesis of Dynamic Systems with Positive Characteristics written by Jun Shen and published by Springer. This book was released on 2017-03-27 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis develops several systematic and unified approaches for analyzing dynamic systems with positive characteristics or a more general cone invariance property. Based on these analysis results, it uses linear programming tools to address static output feedback synthesis problems with a focus on optimal gain performances. Owing to their low computational complexity, the established controller design algorithms are applicable for large-scale systems. The theory and control strategies developed will not only be useful in handling large-scale positive delay systems with improved solvability and at lower cost, but also further our understanding of the system characteristics in other related areas, such as distributed coordination of networked multi-agent systems, formation control of multiple robots.

Download or read book Dynamics of Controlled Mechanical Systems with Delayed Feedback written by H.Y. Hu and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent years have witnessed a rapid development of active control of various mechanical systems. With increasingly strict requirements for control speed and system performance, the unavoidable time delays in both controllers and actuators have become a serious problem. For instance, all digital controllers, analogue anti aliasing and reconstruction filters exhibit a certain time delay during operation, and the hydraulic actuators and human being interaction usually show even more significant time delays. These time delays, albeit very short in most cases, often deteriorate the control performance or even cause the instability of the system, be cause the actuators may feed energy at the moment when the system does not need it. Thus, the effect of time delays on the system performance has drawn much at tention in the design of robots, active vehicle suspensions, active tendons for tall buildings, as well as the controlled vibro-impact systems. On the other hand, the properly designed delay control may improve the performance of dynamic sys tems. For instance, the delayed state feedback has found its applications to the design of dynamic absorbers, the linearization of nonlinear systems, the control of chaotic oscillators, etc. Most controlled mechanical systems with time delays can be modeled as the dynamic systems described by a set of ordinary differential equations with time delays.

Download or read book Delay Systems written by Tomáš Vyhlídal and published by Springer Science & Business Media. This book was released on 2013-09-07 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the first of the new series Advances in Dynamics and Delays. It offers the latest advances in the research of analyzing and controlling dynamical systems with delays, which arise in many real-world problems. The contributions in this series are a collection across various disciplines, encompassing engineering, physics, biology, and economics, and some are extensions of those presented at the IFAC (International Federation of Automatic Control) conferences since 2011. The series is categorized in five parts covering the main themes of the contributions: · Stability Analysis and Control Design · Networks and Graphs · Time Delay and Sampled-Data Systems · Computational and Software Tools · Applications This volume will become a good reference point for researchers and PhD students in the field of delay systems, and for those willing to learn more about the field, and it will also be a resource for control engineers, who will find innovative control methodologies for relevant applications, from both theory and numerical analysis perspectives.

Download or read book Control Strategy for Time Delay Systems written by Mohammad-Hassan Khooban and published by Academic Press. This book was released on 2020-11-27 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since delays are present in 99% of industrial processes, Control Strategy for Time-delay Systems covers all the important features of real-world practical applications which will be valuable to practicing engineers and specialists The book presents the views of the editors on promising research directions and future industrial applications in this area. Although the fundamentals of time-delay systems are discussed, the book focuses on the advanced modelling and control of such systems and will provide the analysis and test (or simulation) results of nearly every technique described in the book For this purpose, highly complex models are introduced to ?describe the mentioned new applications which are characterized by ?time-varying delays with intermittent and stochastic nature, several types of nonlinearities, and the presence ?of different time-scales. Researchers, practitioners and PhD students will gain insights into the prevailing trends in design and operation of real-time control systems, reviewing the shortcomings and future developments concerning the practical system issues such as standardization, protection and design.

Download or read book Approximation of Large Scale Dynamical Systems written by Athanasios C. Antoulas and published by SIAM. This book was released on 2009-06-25 with total page 489 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical models are used to simulate, and sometimes control, the behavior of physical and artificial processes such as the weather and very large-scale integration (VLSI) circuits. The increasing need for accuracy has led to the development of highly complex models. However, in the presence of limited computational accuracy and storage capabilities model reduction (system approximation) is often necessary. Approximation of Large-Scale Dynamical Systems provides a comprehensive picture of model reduction, combining system theory with numerical linear algebra and computational considerations. It addresses the issue of model reduction and the resulting trade-offs between accuracy and complexity. Special attention is given to numerical aspects, simulation questions, and practical applications.

Download or read book Stability Control and Computation for Time Delay Systems written by Wim Michiels and published by SIAM. This book was released on 2014-12-11 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: Time delays are important components of many systems in, for instance, engineering, physics, economics, and the life sciences, because the transfer of material, energy, and information is usually not instantaneous. Time delays may appear as computation and communication lags, they model transport phenomena and heredity, and they arise as feedback delays in control loops. This monograph addresses the problem of stability analysis, stabilization, and robust fixed-order control of dynamical systems subject to delays, including both retarded- and neutral-type systems. Within the eigenvalue-based framework, an overall solution is given to the stability analysis, stabilization, and robust control design problem, using both analytical methods and numerical algorithms and applicable to a broad class of linear time-delay systems. In this revised edition, the authors make the leap from stabilization to the design of robust and optimal controllers and from retarded-type to neutral-type delay systems, thus enlarging the scope of the book within control; include new, state-of-the-art material on numerical methods and algorithms to broaden the book?s focus and to reach additional research communities, in particular numerical linear algebra and numerical optimization; and increase the number and range of applications to better illustrate the effectiveness and generality of their approach.

Download or read book Dynamic Systems with Time Delays Stability and Control written by Ju H. Park and published by Springer Nature. This book was released on 2019-08-29 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents up-to-date research developments and novel methodologies to solve various stability and control problems of dynamic systems with time delays. First, it provides the new introduction of integral and summation inequalities for stability analysis of nominal time-delay systems in continuous and discrete time domain, and presents corresponding stability conditions for the nominal system and an applicable nonlinear system. Next, it investigates several control problems for dynamic systems with delays including H(infinity) control problem Event-triggered control problems; Dynamic output feedback control problems; Reliable sampled-data control problems. Finally, some application topics covering filtering, state estimation, and synchronization are considered. The book will be a valuable resource and guide for graduate students, scientists, and engineers in the system sciences and control communities.