{"product_id":"robust-control-isbn-9781118754375","title":"Robust Control","description":"\u003ci\u003e\u003cb\u003eComprehensive and up to date coverage of robust control theory and its application\u003c\/b\u003e\u003c\/i\u003e\u003cbr\u003e\u003cbr\u003e•   Presented in a well-planned and logical way\u003cbr\u003e\u003cbr\u003e•   Written by a respected leading author, with extensive experience in robust control\u003cbr\u003e\u003cbr\u003e•   Accompanying website provides solutions manual and other supplementary material \u003cp\u003ePreface xvii\u003c\/p\u003e \u003cp\u003eList of Abbreviations xix\u003c\/p\u003e \u003cp\u003eNotations xxi\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 Introduction 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Engineering Background of Robust Control 1\u003c\/p\u003e \u003cp\u003e1.2 Methodologies of Robust Control 4\u003c\/p\u003e \u003cp\u003e1.3 A Brief History of Robust Control 8\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 Basics of Linear Algebra and Function Analysis 10\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Trace, Determinant, Matrix Inverse, and Block Matrix 10\u003c\/p\u003e \u003cp\u003e2.2 Elementary Linear Transformation of Matrix and Its Matrix Description 12\u003c\/p\u003e \u003cp\u003e2.3 Linear Vector Space 14\u003c\/p\u003e \u003cp\u003e2.4 Norm and Inner Product of Vector 18\u003c\/p\u003e \u003cp\u003e2.5 Linear Subspace 22\u003c\/p\u003e \u003cp\u003e2.6 Matrix and Linear Mapping 23\u003c\/p\u003e \u003cp\u003e2.7 Eigenvalue and Eigenvector 28\u003c\/p\u003e \u003cp\u003e2.8 Invariant Subspace 30\u003c\/p\u003e \u003cp\u003e2.9 Pseudo-Inverse and Linear Matrix Equation 34\u003c\/p\u003e \u003cp\u003e2.10 Quadratic Form and Positive Definite Matrix 35\u003c\/p\u003e \u003cp\u003e2.11 Norm and Inner Product of Matrix 37\u003c\/p\u003e \u003cp\u003e2.12 Singular Value and Singular Value Decomposition 40\u003c\/p\u003e \u003cp\u003e2.13 Calculus of Vector and Matrix 43\u003c\/p\u003e \u003cp\u003e2.14 Kronecker Product 44\u003c\/p\u003e \u003cp\u003e2.15 Norm and Inner Product of Function 45\u003c\/p\u003e \u003cp\u003eExercises 53\u003c\/p\u003e \u003cp\u003eNotes and References 56\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Basics of Convex Analysis and LMI 57\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Convex Set and Convex Function 57\u003c\/p\u003e \u003cp\u003e3.2 Introduction to LMI 72\u003c\/p\u003e \u003cp\u003e3.3 Interior Point Method 81\u003c\/p\u003e \u003cp\u003eExercises 83\u003c\/p\u003e \u003cp\u003eNotes and References 84\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Fundamentals of Linear System 85\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Structural Properties of Dynamic System 85\u003c\/p\u003e \u003cp\u003e4.2 Stability 100\u003c\/p\u003e \u003cp\u003e4.3 Lyapunov Equation 108\u003c\/p\u003e \u003cp\u003e4.4 Linear Fractional Transformation 114\u003c\/p\u003e \u003cp\u003eExercises 117\u003c\/p\u003e \u003cp\u003eNotes and References 118\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 System Performance 119\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Test Signal 120\u003c\/p\u003e \u003cp\u003e5.2 Steady-State Response 122\u003c\/p\u003e \u003cp\u003e5.3 Transient Response 130\u003c\/p\u003e \u003cp\u003e5.4 Comparison of Open-Loop and Closed-Loop Controls 140\u003c\/p\u003e \u003cp\u003eExercises 146\u003c\/p\u003e \u003cp\u003eNotes and References 147\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 Stabilization of Linear Systems 148\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 State Feedback 148\u003c\/p\u003e \u003cp\u003e6.2 Observer 160\u003c\/p\u003e \u003cp\u003e6.3 Combined System and Separation Principle 167\u003c\/p\u003e \u003cp\u003eExercises 170\u003c\/p\u003e \u003cp\u003eNotes and References 172\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Parametrization of Stabilizing Controllers 173\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Generalized Feedback Control System 174\u003c\/p\u003e \u003cp\u003e7.2 Parametrization of Controllers 178\u003c\/p\u003e \u003cp\u003e7.3 Youla Parametrization 184\u003c\/p\u003e \u003cp\u003e7.4 Structure of Closed-Loop System 186\u003c\/p\u003e \u003cp\u003e7.5 2-Degree-of-Freedom System 188\u003c\/p\u003e \u003cp\u003eExercises 193\u003c\/p\u003e \u003cp\u003eNotes and References 196\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 Relation between Time Domain and Frequency Domain Properties 197\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Parseval’s Theorem 197\u003c\/p\u003e \u003cp\u003e8.2 KYP Lemma 200\u003c\/p\u003e \u003cp\u003eExercises 214\u003c\/p\u003e \u003cp\u003eNotes and References 214\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 Algebraic Riccati Equation 215\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 Algorithm for Riccati Equation 215\u003c\/p\u003e \u003cp\u003e9.2 Stabilizing Solution 218\u003c\/p\u003e \u003cp\u003e9.3 Inner Function 223\u003c\/p\u003e \u003cp\u003eExercises 224\u003c\/p\u003e \u003cp\u003eNotes and References 224\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10 Performance Limitation of Feedback Control 225\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1 Preliminaries 226\u003c\/p\u003e \u003cp\u003e10.2 Limitation on Achievable Closed-loop Transfer Function 228\u003c\/p\u003e \u003cp\u003e10.3 Integral Relation 231\u003c\/p\u003e \u003cp\u003e10.4 Limitation of Reference Tracking 237\u003c\/p\u003e \u003cp\u003eExercises 244\u003c\/p\u003e \u003cp\u003eNotes and References 244\u003c\/p\u003e \u003cp\u003e\u003cb\u003e11 Model Uncertainty 245\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e11.1 Model Uncertainty: Examples 245\u003c\/p\u003e \u003cp\u003e11.2 Plant Set with Dynamic Uncertainty 248\u003c\/p\u003e \u003cp\u003e11.3 Parametric System 253\u003c\/p\u003e \u003cp\u003e11.4 Plant Set with Phase Information of Uncertainty 264\u003c\/p\u003e \u003cp\u003e11.5 LPV Model and Nonlinear Systems 266\u003c\/p\u003e \u003cp\u003e11.6 Robust Stability and Robust Performance 269\u003c\/p\u003e \u003cp\u003eExercises 270\u003c\/p\u003e \u003cp\u003eNotes and References 271\u003c\/p\u003e \u003cp\u003e\u003cb\u003e12 Robustness Analysis 1: Small-Gain Principle 272\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e12.1 Small-Gain Theorem 272\u003c\/p\u003e \u003cp\u003e12.2 Robust Stability Criteria 276\u003c\/p\u003e \u003cp\u003e12.3 Equivalence between \u003ci\u003eH\u003c\/i\u003e\u003csub\u003e∞\u003c\/sub\u003e Performance and Robust Stability 277\u003c\/p\u003e \u003cp\u003e12.4 Analysis of Robust Performance 279\u003c\/p\u003e \u003cp\u003e12.5 Stability Radius of Norm-Bounded Parametric Systems 282\u003c\/p\u003e \u003cp\u003eExercises 283\u003c\/p\u003e \u003cp\u003eNotes and References 287\u003c\/p\u003e \u003cp\u003e\u003cb\u003e13 Robustness Analysis 2: Lyapunov Method 288\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e13.1 Overview of Lyapunov Stability Theory 288\u003c\/p\u003e \u003cp\u003e13.2 Quadratic Stability 290\u003c\/p\u003e \u003cp\u003e13.3 Lur’e System 296\u003c\/p\u003e \u003cp\u003e13.4 Passive Systems 307\u003c\/p\u003e \u003cp\u003eExercises 310\u003c\/p\u003e \u003cp\u003eNotes and References 311\u003c\/p\u003e \u003cp\u003e\u003cb\u003e14 Robustness Analysis 3: IQC Approach 312\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e14.1 Concept of IQC 312\u003c\/p\u003e \u003cp\u003e14.2 IQC Theorem 314\u003c\/p\u003e \u003cp\u003e14.3 Applications of IQC 316\u003c\/p\u003e \u003cp\u003e14.4 Proof of IQC Theorem* 319\u003c\/p\u003e \u003cp\u003eNotes and References 321\u003c\/p\u003e \u003cp\u003e\u003cb\u003e15 \u003c\/b\u003e\u003ci\u003eH\u003c\/i\u003e\u003cb\u003e\u003csub\u003e2\u003c\/sub\u003e Control 322\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e15.1 \u003ci\u003eH\u003c\/i\u003e\u003csub\u003e2\u003c\/sub\u003e Norm of Transfer Function 322\u003c\/p\u003e \u003cp\u003e15.2 \u003ci\u003eH\u003c\/i\u003e\u003csub\u003e2\u003c\/sub\u003e Control Problem 329\u003c\/p\u003e \u003cp\u003e15.3 Solution to Nonsingular \u003ci\u003eH\u003c\/i\u003e\u003csub\u003e2\u003c\/sub\u003e Control Problem 331\u003c\/p\u003e \u003cp\u003e15.4 Proof of Nonsingular Solution 332\u003c\/p\u003e \u003cp\u003e15.5 Singular \u003ci\u003eH\u003c\/i\u003e\u003csub\u003e2\u003c\/sub\u003e Control 335\u003c\/p\u003e \u003cp\u003e15.6 Case Study: \u003ci\u003eH\u003c\/i\u003e\u003csub\u003e2\u003c\/sub\u003e Control of an RTP System 337\u003c\/p\u003e \u003cp\u003eExercises 342\u003c\/p\u003e \u003cp\u003eNotes and References 345\u003c\/p\u003e \u003cp\u003e\u003cb\u003e16 \u003c\/b\u003e\u003ci\u003eH\u003c\/i\u003e\u003cb\u003e\u003csub\u003e∞\u003c\/sub\u003e Control 346\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e16.1 Control Problem and \u003ci\u003eH\u003c\/i\u003e\u003csub\u003e∞\u003c\/sub\u003e Norm 346\u003c\/p\u003e \u003cp\u003e16.2 \u003ci\u003eH\u003c\/i\u003e\u003csub\u003e∞\u003c\/sub\u003e Control Problem 348\u003c\/p\u003e \u003cp\u003e16.3 LMI Solution 1: Variable Elimination 349\u003c\/p\u003e \u003cp\u003e16.4 LMI Solution 2: Variable Change 351\u003c\/p\u003e \u003cp\u003e16.5 Design of Generalized Plant and Weighting Function 352\u003c\/p\u003e \u003cp\u003e16.6 Case Study 354\u003c\/p\u003e \u003cp\u003e16.7 Scaled \u003ci\u003eH\u003c\/i\u003e\u003csub\u003e∞\u003c\/sub\u003e Control 355\u003c\/p\u003e \u003cp\u003eExercises 358\u003c\/p\u003e \u003cp\u003eNotes and References 359\u003c\/p\u003e \u003cp\u003e\u003cb\u003e17 \u003ci\u003eμ\u003c\/i\u003e Synthesis 360\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e17.1 Introduction to \u003ci\u003eμ\u003c\/i\u003e 360\u003c\/p\u003e \u003cp\u003e17.2 Definition of \u003ci\u003eμ\u003c\/i\u003e and Its Implication 364\u003c\/p\u003e \u003cp\u003e17.3 Properties of \u003ci\u003eμ\u003c\/i\u003e 365\u003c\/p\u003e \u003cp\u003e17.4 Condition for Robust \u003ci\u003eH\u003c\/i\u003e\u003csub\u003e∞\u003c\/sub\u003e Performance 368\u003c\/p\u003e \u003cp\u003e17.5 D–K Iteration Design 369\u003c\/p\u003e \u003cp\u003e17.6 Case Study 371\u003c\/p\u003e \u003cp\u003eExercises 373\u003c\/p\u003e \u003cp\u003eNotes and References 374\u003c\/p\u003e \u003cp\u003e\u003cb\u003e18 Robust Control of Parametric Systems 375\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e18.1 Quadratic Stabilization of Polytopic Systems 375\u003c\/p\u003e \u003cp\u003e18.2 Quadratic Stabilization of Norm-Bounded Parametric Systems 379\u003c\/p\u003e \u003cp\u003e18.3 Robust \u003ci\u003eH\u003c\/i\u003e\u003csub\u003e∞\u003c\/sub\u003e Control Design of Polytopic Systems 379\u003c\/p\u003e \u003cp\u003e18.4 Robust \u003ci\u003eH\u003c\/i\u003e\u003csub\u003e∞\u003c\/sub\u003e Control Design of Norm-Bounded Parametric Systems 382\u003c\/p\u003e \u003cp\u003eExercises 382\u003c\/p\u003e \u003cp\u003e\u003cb\u003e19 Regional Pole Placement 384\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e19.1 Convex Region and Its Characterization 384\u003c\/p\u003e \u003cp\u003e19.2 Condition for Regional Pole Placement 387\u003c\/p\u003e \u003cp\u003e19.3 Composite LMI Region 39219.4 Feedback Controller Design 394\u003c\/p\u003e \u003cp\u003e19.5 Analysis of Robust Pole Placement 396\u003c\/p\u003e \u003cp\u003e19.6 Robust Design of Regional Pole Placement 402\u003c\/p\u003e \u003cp\u003eExercises 405\u003c\/p\u003e \u003cp\u003eNotes and References 406\u003c\/p\u003e \u003cp\u003e\u003cb\u003e20 Gain-Scheduled Control 407\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e20.1 General Structure 407\u003c\/p\u003e \u003cp\u003e20.2 LFT-Type Parametric Model 408\u003c\/p\u003e \u003cp\u003e20.3 Case Study: Stabilization of a Unicycle Robot 414\u003c\/p\u003e \u003cp\u003e20.4 Affine LPV Model 422\u003c\/p\u003e \u003cp\u003e20.5 Case Study: Transient Stabilization of a Power System 428\u003c\/p\u003e \u003cp\u003eExercises 434\u003c\/p\u003e \u003cp\u003eNotes and References 435\u003c\/p\u003e \u003cp\u003e\u003cb\u003e21 Positive Real Method 436\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e21.1 Structure of Uncertain Closed-Loop System 436\u003c\/p\u003e \u003cp\u003e21.2 Robust Stabilization Based on Strongly Positive Realness 438\u003c\/p\u003e \u003cp\u003e21.3 Robust Stabilization Based on Strictly Positive Realness 441\u003c\/p\u003e \u003cp\u003e21.4 Robust Performance Design for Systems with Positive Real Uncertainty 442\u003c\/p\u003e \u003cp\u003e21.5 Case Study 445\u003c\/p\u003e \u003cp\u003eExercises 448\u003c\/p\u003e \u003cp\u003eNotes and References 449\u003c\/p\u003e \u003cp\u003eReferences 450\u003c\/p\u003e \u003cp\u003eIndex 455\u003c\/p\u003e \u003cp\u003e\u003cb\u003eProfessor Kang-Zhi Liu, Dept. of Electrical and Electronic Engineering, Chiba University, Japan.\u003c\/b\u003e Professor Liu achieved his Ph.D. degree in 1991 from Chiba University, Japan.  His areas of expertise include Control Theory, Control and Operation of Power Systems, and System Integration of Smart-Grid, and he has worked in these related areas for 27 years (4 years as a professor, 13 years as an associate professor, 5 years as an assistant professor, and 5 years as a graduate student). He is currently Associate Editor of both the International Journal of Control Theory and Applications, and the International Journal of Systems Science.  He is the author of 6 books (two in Chinese and four in Japanese).\u003c\/p\u003e \u003cp\u003e\u003cb\u003eDr. Yu Yao is a Cheng Kong Scholar Chair Professor at the Harbin Institute of Technology, China.\u003c\/b\u003e He also serves as Vice President of Harbin University of Engineering, China. His research interests include nonlinear systems, robust control and flight control. He has published over 100 journal papers.\u003c\/p\u003e","brand":"Wiley","offers":[{"title":"Default Title","offer_id":47989970043109,"sku":"NP9781118754375","price":179.95,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1842\/7735\/files\/9781118754375.jpg?v=1761786073","url":"https:\/\/k12savings.com\/products\/robust-control-isbn-9781118754375","provider":"K12savings","version":"1.0","type":"link"}