{"product_id":"robust-control-theory-and-applications-9781118754375","title":"Robust Control  Theory and Applications","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e\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\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\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\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\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\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\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\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\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\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\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\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\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 H∞ 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\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\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\u003e\u003cb\u003e15 H2 Control 322\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e15.1 H2 Norm of Transfer Function 322\u003c\/p\u003e \u003cp\u003e15.2 H2 Control Problem 329\u003c\/p\u003e \u003cp\u003e15.3 Solution to Nonsingular H2 Control Problem 331\u003c\/p\u003e \u003cp\u003e15.4 Proof of Nonsingular Solution 332\u003c\/p\u003e \u003cp\u003e15.5 Singular H2 Control 335\u003c\/p\u003e \u003cp\u003e15.6 Case Study: H2 Control of an RTP System 337\u003c\/p\u003e \u003cp\u003e\u003cb\u003e16 H∞ Control 346\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e16.1 Control Problem and H∞ Norm 346\u003c\/p\u003e \u003cp\u003e16.2 H∞ 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 H∞ Control 355\u003c\/p\u003e \u003cp\u003e\u003cb\u003e17 μ Synthesis 360\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e17.1 Introduction to μ 360\u003c\/p\u003e \u003cp\u003e17.2 Definition of μ and Its Implication 364\u003c\/p\u003e \u003cp\u003e17.3 Properties of μ 365\u003c\/p\u003e \u003cp\u003e17.4 Condition for Robust H∞ 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\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 H∞ Control Design of Polytopic Systems 379\u003c\/p\u003e \u003cp\u003e18.4 Robust H∞ Control Design of Norm-Bounded Parametric Systems 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 392\u003c\/p\u003e \u003cp\u003e19.4 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\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\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","brand":"John Wiley \u0026 Sons","offers":[{"title":"Default Title","offer_id":49989943296343,"sku":"9781118754375","price":94.46,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781118754375.jpg?v=1739542697","url":"https:\/\/bookcurl.com\/products\/robust-control-theory-and-applications-9781118754375","provider":"Book Curl","version":"1.0","type":"link"}