{"product_id":"multivariable-feedback-control-isbn-9780470011676","title":"Multivariable Feedback Control","description":"Multivariable Feedback Control: Analysis and Design, Second Edition presents a rigorous, yet easily readable, introduction to the analysis and design of robust multivariable control systems. Focusing on practical feedback control and not on system theory in general, this book provides the reader with insights into the opportunities and limitations of feedback control.\u003cbr\u003e \u003cbr\u003e Taking into account the latest developments in the field, this fully revised and updated second edition:\u003cbr\u003e * features a new chapter devoted to the use of linear matrix inequalities (LMIs);\u003cbr\u003e * presents current results on fundamental performance limitations introduced by RHP-poles and RHP-zeros;\u003cbr\u003e * introduces updated material on the selection of controlled variables and self-optimizing control;\u003cbr\u003e * provides simple IMC tuning rules for PID control;\u003cbr\u003e * covers additional material including unstable plants, the feedback amplifier, the lower gain margin and a clear strategy for incorporating integral action into LQG control;\u003cbr\u003e * includes numerous worked examples, exercises and case studies, which make frequent use of Matlab and the new Robust Control toolbox.\u003cbr\u003e \u003cbr\u003e Multivariable Feedback Control: Analysis and Design, Second Edition is an excellent resource for advanced undergraduate and graduate courses studying multivariable control. It is also an invaluable tool for engineers who want to understand multivariable control, its limitations, and how it can be applied in practice. The analysis techniques and the material on control structure design should prove very useful in the new emerging area of systems biology.\u003cbr\u003e \u003cbr\u003e Reviews of the first edition:\u003cbr\u003e \u003cbr\u003e \"Being rich in insights and practical tips on controller design, the book should also prove to be very beneficial to industrial control engineers, both as a reference book and as an educational tool.\" Applied Mechanics Reviews\u003cbr\u003e \u003cbr\u003e \"In summary, this book can be strongly recommended not only as a basic text in multivariable control techniques for graduate and undergraduate students, but also as a valuable source of information for control engineers.\" International Journal of Adaptive Control and Signal Processing \u003cp\u003ePreface xi\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 Introduction 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 The process of control system design 1\u003c\/p\u003e \u003cp\u003e1.2 The control problem 2\u003c\/p\u003e \u003cp\u003e1.3 Transfer functions 3\u003c\/p\u003e \u003cp\u003e1.4 Scaling 5\u003c\/p\u003e \u003cp\u003e1.5 Deriving linear models 7\u003c\/p\u003e \u003cp\u003e1.6 Notation 10\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 Classical Feedback Control 15\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Frequency response 15\u003c\/p\u003e \u003cp\u003e2.2 Feedback control 20\u003c\/p\u003e \u003cp\u003e2.3 Closed-loop stability 26\u003c\/p\u003e \u003cp\u003e2.4 Evaluating closed-loop performance 28\u003c\/p\u003e \u003cp\u003e2.5 Controller design 40\u003c\/p\u003e \u003cp\u003e2.6 Loop shaping 42\u003c\/p\u003e \u003cp\u003e2.7 IMC design procedure and PID control for stable plants 54\u003c\/p\u003e \u003cp\u003e2.8 Shaping closed-loop transfer functions 59\u003c\/p\u003e \u003cp\u003e2.9 Conclusion 65\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Introduction To Multivariable Control 67\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Introduction 67\u003c\/p\u003e \u003cp\u003e3.2 Transfer functions for MIMO systems 68\u003c\/p\u003e \u003cp\u003e3.3 Multivariable frequency response analysis 71\u003c\/p\u003e \u003cp\u003e3.4 Relative gain array (RGA) 82\u003c\/p\u003e \u003cp\u003e3.5 Control of multivariable plants 91\u003c\/p\u003e \u003cp\u003e3.6 Introduction to multivariable RHP-zeros 95\u003c\/p\u003e \u003cp\u003e3.7 Introduction to MIMO robustness 98\u003c\/p\u003e \u003cp\u003e3.8 General control problem formulation 104\u003c\/p\u003e \u003cp\u003e3.9 Additional exercises 115\u003c\/p\u003e \u003cp\u003e3.10 Conclusion 117\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Elements of Linear System Theory 119\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 System descriptions 119\u003c\/p\u003e \u003cp\u003e4.2 State controllability and state observability 127\u003c\/p\u003e \u003cp\u003e4.3 Stability 134\u003c\/p\u003e \u003cp\u003e4.4 Poles 135\u003c\/p\u003e \u003cp\u003e4.5 Zeros 138\u003c\/p\u003e \u003cp\u003e4.6 Some important remarks on poles and zeros 141\u003c\/p\u003e \u003cp\u003e4.7 Internal stability of feedback systems 144\u003c\/p\u003e \u003cp\u003e4.8 Stabilizing controllers 148\u003c\/p\u003e \u003cp\u003e4.9 Stability analysis in the frequency domain 150\u003c\/p\u003e \u003cp\u003e4.10 System norms 156\u003c\/p\u003e \u003cp\u003e4.11 Conclusion 162\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Limitations On Performance In Siso Systems \u003c\/b\u003e\u003cb\u003e163\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Input-output controllability 163\u003c\/p\u003e \u003cp\u003e5.2 Fundamental limitations on sensitivity 167\u003c\/p\u003e \u003cp\u003e5.3 Fundamental limitations: bounds on peaks 172\u003c\/p\u003e \u003cp\u003e5.4 Perfect control and plant inversion 180\u003c\/p\u003e \u003cp\u003e5.5 Ideal ISE optimal control 181\u003c\/p\u003e \u003cp\u003e5.6 Limitations imposed by time delays 182\u003c\/p\u003e \u003cp\u003e5.7 Limitations imposed by RHP-zeros 183\u003c\/p\u003e \u003cp\u003e5.8 Limitations imposed by phase lag 191\u003c\/p\u003e \u003cp\u003e5.9 Limitations imposed by unstable (RHP) poles 192\u003c\/p\u003e \u003cp\u003e5.10 Performance requirements imposed by disturbances and commands 198\u003c\/p\u003e \u003cp\u003e5.11 Limitations imposed by input constraints 199\u003c\/p\u003e \u003cp\u003e5.12 Limitations imposed by uncertainly 203\u003c\/p\u003e \u003cp\u003e5.13 Summary: controllability analysis with feedback control 206\u003c\/p\u003e \u003cp\u003e5.14 Summary: controllability analysis with feedforward control 209\u003c\/p\u003e \u003cp\u003e5.15 Applications of controllability analysis 210\u003c\/p\u003e \u003cp\u003e5.16 Conclusion 219\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 Limitations On Performance In Mimo Systems \u003c\/b\u003e\u003cb\u003e221\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Introduction 221\u003c\/p\u003e \u003cp\u003e6.2 Fundamental limitations an sensitivity 222\u003c\/p\u003e \u003cp\u003e6.3 Fundamental limitations: bounds on peaks 223\u003c\/p\u003e \u003cp\u003e6.4 Functional controllability 232\u003c\/p\u003e \u003cp\u003e6.5 Limitations imposed by time delays 233\u003c\/p\u003e \u003cp\u003e6.6 Limitations imposed by RHP-zeros 235\u003c\/p\u003e \u003cp\u003e6.7 Limitations imposed by unstable (RHP) poles 238\u003c\/p\u003e \u003cp\u003e6.8 Performance requirements imposed by disturbances 238\u003c\/p\u003e \u003cp\u003e6.9 Limitations imposed by input constraints 240\u003c\/p\u003e \u003cp\u003e6.10 Limitations imposed by uncertainty 242\u003c\/p\u003e \u003cp\u003e6.11 MIMO input-output controllability 253\u003c\/p\u003e \u003cp\u003e6.12 Conclusion 258.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Uncertainty and Robustness For Siso Systems \u003c\/b\u003e\u003cb\u003e259\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Introduction to robustness 259\u003c\/p\u003e \u003cp\u003e7.2 Representing uncertainty 260\u003c\/p\u003e \u003cp\u003e7.3 Parametric uncertainty 262\u003c\/p\u003e \u003cp\u003e7.4 Representing uncertainty in the frequency domain 265\u003c\/p\u003e \u003cp\u003e7.5 SISO robust stability 274\u003c\/p\u003e \u003cp\u003e7.6 SISO robust performance 281\u003c\/p\u003e \u003cp\u003e7.7 Additional exorcises 287\u003c\/p\u003e \u003cp\u003e7.8 Conclusion 288\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 Robust Stability and Performance Analysis For Mimo Systems \u003c\/b\u003e\u003cb\u003e289\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 General control configuration with uncertainly 289\u003c\/p\u003e \u003cp\u003e8.2 Representing uncertainty 290\u003c\/p\u003e \u003cp\u003e8.3 Obtaining \u003ci\u003eP\u003c\/i\u003e, \u003ci\u003eN \u003c\/i\u003eand \u003ci\u003eM\u003c\/i\u003e 298\u003c\/p\u003e \u003cp\u003e8.4 Definitions of robust stability and robust performance 299\u003c\/p\u003e \u003cp\u003e8.5 Robust stability of the \u003ci\u003eM\u003c\/i\u003e Δ-structure 301\u003c\/p\u003e \u003cp\u003e8.6 Robust stability for complex unstructured uncertainty 302\u003c\/p\u003e \u003cp\u003e8.7 Robust stability with structured uncertainly: motivation 305\u003c\/p\u003e \u003cp\u003e8.8 The structured singular value 306\u003c\/p\u003e \u003cp\u003e8.9 Robust stability with structured uncertainly 313\u003c\/p\u003e \u003cp\u003e8.10 Robust, performance 316\u003c\/p\u003e \u003cp\u003e8.11 Application: robust performance with input uncertainty 320\u003c\/p\u003e \u003cp\u003e8.12 \u003ci\u003eμ\u003c\/i\u003e-synthesis and \u003ci\u003eDK\u003c\/i\u003e-iteration 328\u003c\/p\u003e \u003cp\u003e8.13 Further remarks on \u003ci\u003eμ \u003c\/i\u003e336\u003c\/p\u003e \u003cp\u003e8.14 Conclusion 338\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 Controller Design \u003c\/b\u003e\u003cb\u003e341\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 Trade-offs in MIMO feedback design 341\u003c\/p\u003e \u003cp\u003e9.2 LQG control 344\u003c\/p\u003e \u003cp\u003e9.3 ℋ\u003csub\u003e2\u003c\/sub\u003e and ℋ\u003csub\u003e∞\u003c\/sub\u003e control 352\u003c\/p\u003e \u003cp\u003e9.4 ℋ\u003csub\u003e∞ \u003c\/sub\u003eloop-shaping design 364\u003c\/p\u003e \u003cp\u003e9.5 Conclusion 381\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10 Control Structure Design 383\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1 Introduction 383\u003c\/p\u003e \u003cp\u003e10.2 Optimal operation and control 385\u003c\/p\u003e \u003cp\u003e10.3 Selection of primary controlled outputs 388\u003c\/p\u003e \u003cp\u003e10.4 Regulatory control layer 403\u003c\/p\u003e \u003cp\u003e10.5 Control configuration elements 419\u003c\/p\u003e \u003cp\u003e10.6 Decentralized feedback control 428\u003c\/p\u003e \u003cp\u003e10.7 Conclusion 453\u003c\/p\u003e \u003cp\u003e\u003cb\u003e11 Model Reduction 455\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e11.1 Introduction 455\u003c\/p\u003e \u003cp\u003e11.2 Truncation and residualization 456\u003c\/p\u003e \u003cp\u003e11.3 Balanced realizations 457\u003c\/p\u003e \u003cp\u003e11.4 Balanced truncation and balanced residualization 458\u003c\/p\u003e \u003cp\u003e11.5 Optimal Hankel norm approximation 459\u003c\/p\u003e \u003cp\u003e11.6 Reduction of unstable models 462\u003c\/p\u003e \u003cp\u003e11.7 Model reduction using Matlab 462\u003c\/p\u003e \u003cp\u003e11.8 Two practical examples 463\u003c\/p\u003e \u003cp\u003e11.9 Conclusion 471\u003c\/p\u003e \u003cp\u003e\u003cb\u003e12 Linear Matrix Inequalities 473\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e12.1 Introduction to LMI problems 473\u003c\/p\u003e \u003cp\u003e12.2 Types of LMI problems 476\u003c\/p\u003e \u003cp\u003e12.3 Tricks in LMT problems 479\u003c\/p\u003e \u003cp\u003e12.4 Case study: anti-windup compensator synthesis 484\u003c\/p\u003e \u003cp\u003e12.5 Conclusion 490\u003c\/p\u003e \u003cp\u003e\u003cb\u003e13 Case Studies 491\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e13.1 Introduction 491\u003c\/p\u003e \u003cp\u003e13.2 Helicopter control 492\u003c\/p\u003e \u003cp\u003e13.3 Aero-engine control 500\u003c\/p\u003e \u003cp\u003e13.4 Distillation process 509\u003c\/p\u003e \u003cp\u003e13.5 Conclusion 514\u003c\/p\u003e \u003cp\u003e\u003cb\u003eA Matrix Theory and Norms \u003c\/b\u003e\u003cb\u003e515\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eA.1 Basics 515\u003c\/p\u003e \u003cp\u003eA.2 Eigenvalues and eigenvectors 51 8\u003c\/p\u003e \u003cp\u003eA\u003csub\u003e.\u003c\/sub\u003e3 Singular value decomposition 520\u003c\/p\u003e \u003cp\u003eA.4 Relative gain array 526\u003c\/p\u003e \u003cp\u003eA.5 Norms 530\u003c\/p\u003e \u003cp\u003eA.6 All-pass factorization of transfer function matrices 541\u003c\/p\u003e \u003cp\u003eA.7 Factorization of the sensitivity function 542\u003c\/p\u003e \u003cp\u003eA.8 Linear fractional transformations 543\u003c\/p\u003e \u003cp\u003e\u003cb\u003eB Project Work and Sample Exam \u003c\/b\u003e\u003cb\u003e547\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eB.1 Project work 547\u003c\/p\u003e \u003cp\u003eB.2 Sample exam 548\u003c\/p\u003e \u003cp\u003eBibliography 553\u003c\/p\u003e \u003cp\u003eIndex 563\u003c\/p\u003e \u003cb\u003eProfessor Sigurd Skogestad, Norwegian University of Science and Technology (NTNU)\u003cbr\u003e\u003c\/b\u003eHead of the Department of Chemical Engineering. Author of more than 100 journal publications and 150 conference publications. He was awarded \"Innstilling to the King\" for his Siv.Ing. degree in 1979, a Fullbright fellowship in 1983, received the Ted Peterson Award from AIChE in 1989, the George S. Axelby Outstanding Paper Award from IEEE in 1990, and the O. Hugo Schuck Best Paper Award from the American Automatic Control Council in 1992. \u003cp\u003e\u003cb\u003eProfessor Ian Postlethwaite, University of Leicester, UK\u003cbr\u003e\u003c\/b\u003eHead of Engineering Department, Fellow of the Institute of Electrical and Electronics Engineers, Fellow of the Institution of Electrical Engineers, and a Fellow of the Institute of Measurement and Control. In 1991 he received the IEE FC Williams Premium, in 2001 the Sir Harold Hartley Medal of the InstMC and in 2002 the Best Paper Prize for an article published in the IFAC Journal of Control Engineering Practice over the period 1999-2002.\u003c\/p\u003e  \u003ci\u003eMultivariable Feedback Control: Analysis and Design, Second Edition\u003c\/i\u003e presents a rigorous, yet easily readable, introduction to the analysis and design of robust multivariable control systems.  Focusing on practical feedback control and not on system theory in general, this book provides the reader with insights into the opportunities and limitations of feedback control.  \u003cp\u003eTaking into account the latest developments in the field, this fully revised and updated second edition:\u003c\/p\u003e \u003cul\u003e \u003cli\u003efeatures a new chapter devoted to the use of linear matrix inequalities (LMIs);\u003c\/li\u003e \u003cli\u003epresents current results on fundamental performance limitations introduced by RHP-poles and RHP-zeros;\u003c\/li\u003e \u003cli\u003eintroduces updated material on the selection of controlled variables and self-optimizing control;\u003c\/li\u003e \u003cli\u003eprovides simple IMC tuning rules for PID control;\u003c\/li\u003e \u003cli\u003ecovers additional material including unstable plants, the feedback amplifier, the lower gain margin and a clear strategy for incorporating integral action into LQG control;\u003c\/li\u003e \u003cli\u003eincludes numerous worked examples, exercises and case studies, which make frequent use of Matlab and the new Robust Control toolbox.\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003e\u003ci\u003eMultivariable Feedback Control: Analysis and Design, Second Edition\u003c\/i\u003e is an excellent resource for advanced undergraduate and graduate courses studying multivariable control. It is also an invaluable tool for engineers who want to understand multivariable control, its limitations, and how it can be applied in practice. The analysis techniques and the material on control structure design should prove very useful in the new emerging area of systems biology.\u003c\/p\u003e \u003cp\u003eReviews of the first edition:\u003c\/p\u003e \u003cp\u003e“Being rich in insights and practical tips on controller design, the book should also prove to be very beneficial to industrial control engineers, both as a reference book and as an educational tool.” \u003ci\u003eApplied Mechanics Reviews\u003c\/i\u003e\u003c\/p\u003e \u003cp\u003e“In summary, this book can be strongly recommended not only as a basic text in multivariable control techniques for graduate and undergraduate students, but also as a valuable source of information for control engineers.” \u003ci\u003eInternational Journal of Adaptive Control and Signal Processing\u003c\/i\u003e\u003c\/p\u003e","brand":"Wiley","offers":[{"title":"Default Title","offer_id":47989663924453,"sku":"NP9780470011676","price":204.95,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1842\/7735\/files\/9780470011676.jpg?v=1761785012","url":"https:\/\/k12savings.com\/es\/products\/multivariable-feedback-control-isbn-9780470011676","provider":"K12savings","version":"1.0","type":"link"}