{"title":"Nonlinear Time Scale Systems in Standard and Nonstandard Forms - Analysis and Control","authors":"Anshu Narang-Siddarth, J. Valasek","doi":"10.1137/1.9781611973341","DOIUrl":"https://doi.org/10.1137/1.9781611973341","url":null,"abstract":"This book introduces key concepts for systematically controlling engineering systems that possess interacting phenomena occurring at widely different speeds. The aim is to present the reader with control techniques that extend the benefits of model reduction of singular perturbation theory to a larger class of nonlinear dynamical systems. New results and relevant background are presented through insightful examples that cover a wide range of applications from different branches of engineering. This book is unique because it presents a new perspective on existing control methods and thus broadens their application to a larger class of nonlinear dynamical systems. It also discusses general rather than problem-specific developments to certain applications or disciplines in order to provide control engineers with useful analytical tools, and it addresses new control problems using singular perturbation methods, including closed-form results for control of nonminimum phase systems. Audience: Nonlinear Time Scale Systems in Standard and Nonstandard Forms: Analysis and Control is intended for researchers and practitioners who use time scale methods to mitigate the curse of dimensionality and higher order controllers. It will be specifically useful to aerospace, mechanical, and electrical engineers, as well as students and researchers in applied mathematics interested in systems and control. It will also be of interest to physicists, biologists, and chemists who use time scale techniques.","PeriodicalId":161992,"journal":{"name":"Advances in Design and Control","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-04-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134225213","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Nonlinear Control Under Nonconstant Delays","authors":"N. Bekiaris-Liberis, M. Krstić","doi":"10.1137/1.9781611972856","DOIUrl":"https://doi.org/10.1137/1.9781611972856","url":null,"abstract":"The authors have developed a methodology for control of nonlinear systems in the presence of long delays, with large and rapid variation in the actuation or sensing path, or in the presence of long delays affecting the internal state of a system. In addition to control synthesis, they introduce tools to quantify the performance and the robustness properties of the designs provided in the book. The book is based on the concept of predictor feedback and infinite-dimensional backstepping transformation for linear systems and the authors guide the reader from the basic ideas of the concept - with constant delays only on the input - all the way through to nonlinear systems with state-dependent delays on the input as well as on system states. Several examples are presented that help the reader digest some of the intricacies in the methodology. Readers will find the book useful because the authors provide elegant and systematic treatments of long-standing problems in delay systems, such as systems with state-dependent delays that arise in many applications. In addition, the authors give all control designs by explicit formulae, making the book especially useful for engineers who have faced delay-related challenges and are concerned with actual implementations and they accompany all control designs with Lyapunov-based analysis for establishing stability and performance guarantees. Audience: This book is intended for researchers working on control of delay systems, including engineers, mathematicians, and students. Contents: Chapter 1: Introduction; Part I: Chapter 2: Linear Systems with Input and State Delays; Chapter 3: Linear Systems with Distributed Delays; Chapter 4: Application: Automotive Catalysts; Chapter 5: Nonlinear Systems with Input Delay; Part II: Chapter 6: Linear Systems with Time-Varying Input Delay; Chapter 7: Robustness of Linear Constant-Delay Predictor Feedback to Time-Varying Delay Perturbations; Chapter 8: Nonlinear Systems with Time-Varying Input Delay; Chapter 9: Nonlinear Systems with Simultaneous Time-Varying Delays on the Input and the State; Part III: Chapter 10: Predictor Feedback Design When the Delay Is a Function of the State; Chapter 11: Stability Analysis for Forward-Complete Systems with Input Delay; Chapter 12: Stability Analysis for Locally Stabilizable Systems with Input Delay; Chapter 13: Nonlinear Systems with State Delay; Chapter 14: Robustness of Nonlinear Constant-Delay Predictors to Time- and State-Dependent Delay Perturbations; Chapter 15: State-Dependent Delays That Depend on Delayed States; Appendix A: Basic Inequalities; Appendix B: Input-to-Output Stability; Appendix C: Lyapunov Stability, Forward-Completeness, and Input-to-State Stability; Appendix D: Parameter Projection","PeriodicalId":161992,"journal":{"name":"Advances in Design and Control","volume":"195 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-09-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117253125","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Applications to Regular and Bang-Bang Control - Second-Order Necessary and Sufficient Optimality Conditions in Calculus of Variations and Optimal Control","authors":"N. Osmolovskii, H. Maurer","doi":"10.1137/1.9781611972368","DOIUrl":"https://doi.org/10.1137/1.9781611972368","url":null,"abstract":"This book is devoted to the theory and applications of second-order necessary and sufficient optimality conditions in the calculus of variations and optimal control. The authors develop theory for a control problem with ordinary differential equations subject to boundary conditions of equality and inequality type and for mixed state-control constraints of equality type. The book is distinctive in that necessary and sufficient conditions are given in the form of no-gap conditions; the theory covers broken extremals where the control has finitely many points of discontinuity; and a number of numerical examples in various application areas are fully solved. Audience: This book is suitable for researchers in calculus of variations and optimal control and researchers and engineers in optimal control applications in mechanics; mechatronics; physics; economics; and chemical, electrical, and biological engineering. Contents: List of Figures; Notation; Preface; Introduction; Part I: Second-Order Optimality Conditions for Broken Extremals in the Calculus of Variations; Chapter 1: Abstract Scheme for Obtaining Higher-Order Conditions in Smooth Extremal Problems with Constraints; Chapter 2: Quadratic Conditions in the General Problem of the Calculus of Variations; Chapter 3: Quadratic Conditions for Optimal Control Problems with Mixed Control-State Constraints; Chapter 4: Jacobi-Type Conditions and Riccati Equation for Broken Extremals; Part II: Second-Order Optimality Conditions in Optimal Bang-Bang Control Problems; Chapter 5: Second-Order Optimality Conditions in Optimal Control Problems Linear in a Part of Controls; Chapter 6: Second-Order Optimality Conditions for Bang-Bang Control; Chapter 7: Bang-Bang Control Problem and Its Induced Optimization Problem; Chapter 8: Numerical Methods for Solving the Induced Optimization Problem and Applications; Bibliography; Index.","PeriodicalId":161992,"journal":{"name":"Advances in Design and Control","volume":"9 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2012-11-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133330118","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Lagrange multiplier approach to variational problems and applications","authors":"Kazufumi Ito, K. Kunisch","doi":"10.1137/1.9780898718614","DOIUrl":"https://doi.org/10.1137/1.9780898718614","url":null,"abstract":"Lagrange multiplier theory provides a tool for the analysis of a general class of nonlinear variational problems and is the basis for developing efficient and powerful iterative methods for solving these problems. This comprehensive monograph analyzes Lagrange multiplier theory and shows its impact on the development of numerical algorithms for problems posed in a function space setting. The book is motivated by the idea that a full treatment of a variational problem in function spaces would not be complete without a discussion of infinite-dimensional analysis, proper discretization, and the relationship between the two. The authors develop and analyze efficient algorithms for constrained optimization and convex optimization problems based on the augumented Lagrangian concept and cover such topics as sensitivity analysis, convex optimization, second order methods, and shape sensitivity calculus. General theory is applied to challenging problems in optimal control of partial differential equations, image analysis, mechanical contact and friction problems, and American options for the Black-Scholes model. Audience: This book is for researchers in optimization and control theory, numerical PDEs, and applied analysis. It will also be of interest to advanced graduate students in applied analysis and PDE optimization.","PeriodicalId":161992,"journal":{"name":"Advances in Design and Control","volume":"51 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2008-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124891217","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Adaptive control tutorial","authors":"Petros A. Ioannou, B. Fidan","doi":"10.1137/1.9780898718652","DOIUrl":"https://doi.org/10.1137/1.9780898718652","url":null,"abstract":"Preface Acknowledgements List of acronyms 1. Introduction 2. Parametric models 3. Parameter identification: continuous time 4. Parameter identification: discrete time 5. Continuous-time model reference adaptive control 6. Continuous-time adaptive pole placement control 7. Adaptive control for discrete-time systems 8. Adaptive control of nonlinear systems Appendix Bibliography Index.","PeriodicalId":161992,"journal":{"name":"Advances in Design and Control","volume":"52 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2006-12-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131048989","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Approximation of Large-Scale Dynamical Systems","authors":"A. Antoulas","doi":"10.1137/1.9780898718713","DOIUrl":"https://doi.org/10.1137/1.9780898718713","url":null,"abstract":"Preface Part I. Introduction: 1. Introduction 2. Motivating examples Part II. Preliminaries: 3. Tools from matrix theory 4. Linear dynamical systems, Part 1 5. Linear dynamical systems, Part 2 6. Sylvester and Lyapunov equations Part III. SVD-based Approximation Methods: 7. Balancing and balanced approximations 8. Hankel-norm approximation 9. Special topics in SVD-based approximation methods Part IV. Krylov-based Approximation Methods: 10. Eigenvalue computations 11. Model reduction using Krylov methods Part V. SVD-Krylov Methods and Case Studies: 12. SVD-Krylov methods 13. Case studies 14. Epilogue 15. Problems Bibliography Index.","PeriodicalId":161992,"journal":{"name":"Advances in Design and Control","volume":"15 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2005-07-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115164113","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Applied dynamic programming for optimization of dynamical systems","authors":"R. Robinett","doi":"10.1137/1.9780898718676","DOIUrl":"https://doi.org/10.1137/1.9780898718676","url":null,"abstract":"Based on the results of over 10 years of research and development by the authors, this book presents a cross section of dynamic programming (DP) techniques applied to the optimization of dynamical systems. It provides applications of DP algorithms that are easily adapted to the reader's own interests and problems.","PeriodicalId":161992,"journal":{"name":"Advances in Design and Control","volume":"2013 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2005-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128012646","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Stability, Control, and Computation for Time-Delay Systems - An Eigenvalue-Based Approach (2. ed.)","authors":"W. Michiels, S. Niculescu","doi":"10.1137/1.9781611973631","DOIUrl":"https://doi.org/10.1137/1.9781611973631","url":null,"abstract":"Preface to the second edition Preface to the first edition List of symbols Acronyms Part I. Stability Analysis of Linear Time-Delay Systems 1. Spectral properties of linear time-delay systems 2. Computation of characteristic roots 3. Pseudospectra and robust stability analysis 4. Computation of H2 and H norms 5. Computation of stability regions in parameter spaces 6. Stability regions in delay-parameter spaces Part II. Stabilization and Robust Fixed-Order Control: 7. Stabilization using a direct eigenvalue optimization approach 8. Stabilizability with delayed feedback: a numerical case study 9. Optimization of H norms Part III. Applications: 10. Output feedback stabilization using delays as control parameters 11. Smith predictor for stable systems: delay sensitivity analysis 12. Controlling unstable systems using finite spectrum assignment 13. Congestion control algorithms in networks 14. Consensus problems with distributed delays, with traffic flow applications 15. Synchronization of delay-coupled oscillators 16. Stability analysis of delay models in biosciences Appendix Bibliography Index.","PeriodicalId":161992,"journal":{"name":"Advances in Design and Control","volume":"21 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133011259","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Stochastic Processes, Estimation, and Control","authors":"J. Speyer, W. H. Chung","doi":"10.1137/1.9780898718591","DOIUrl":"https://doi.org/10.1137/1.9780898718591","url":null,"abstract":"A comprehensive treatment of stochastic systems beginning with the foundations of probability and ending with stochastic optimal control. The book divides into three interrelated topics. First, the concepts of probability theory, random variables and stochastic processes are presented, which leads easily to expectation, conditional expectation, and discrete time estimation and the Kalman filter. With this background, stochastic calculus and continuous-time estimation are introduced. Finally, dynamic programming for both discrete-time and continuous-time systems leads to the solution of optimal stochastic control problems resulting in controllers with significant practical application. This book will be valuable to first year graduate students studying systems and control, as well as professionals in this field.","PeriodicalId":161992,"journal":{"name":"Advances in Design and Control","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133291061","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}