{"product_id":"optimal-control-isbn-9780470633496","title":"Optimal Control","description":"\u003cp\u003e\u003cb\u003eA NEW EDITION OF THE CLASSIC TEXT ON OPTIMAL CONTROL THEORY\u003c\/b\u003e  \u003c\/p\u003e\u003cp\u003eAs a superb introductory text and an indispensable reference, this new edition of \u003ci\u003eOptimal Control\u003c\/i\u003e will serve the needs of both the professional engineer and the advanced student in mechanical, electrical, and aerospace engineering. Its coverage encompasses all the fundamental topics as well as the major changes that have occurred in recent years. An abundance of computer simulations using MATLAB and relevant Toolboxes is included to give the reader the actual experience of applying the theory to real-world situations. Major topics covered include:  \u003c\/p\u003e\u003cul\u003e \u003cli\u003eStatic Optimization\u003c\/li\u003e \u003cli\u003eOptimal Control of Discrete-Time Systems\u003c\/li\u003e \u003cli\u003eOptimal Control of Continuous-Time Systems\u003c\/li\u003e \u003cli\u003eThe Tracking Problem and Other LQR Extensions\u003c\/li\u003e \u003cli\u003eFinal-Time-Free and Constrained Input Control\u003c\/li\u003e \u003cli\u003eDynamic Programming\u003c\/li\u003e \u003cli\u003eOptimal Control for Polynomial Systems\u003c\/li\u003e \u003cli\u003eOutput Feedback and Structured Control\u003c\/li\u003e \u003cli\u003eRobustness and Multivariable Frequency-Domain Techniques\u003c\/li\u003e \u003cli\u003eDifferential Games\u003c\/li\u003e \u003cli\u003eReinforcement Learning and Optimal Adaptive Control\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003ePreface xi\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 STATIC OPTIMIZATION 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Optimization without Constraints 1\u003c\/p\u003e \u003cp\u003e1.2 Optimization with Equality Constraints 4\u003c\/p\u003e \u003cp\u003e1.3 Numerical Solution Methods 15\u003c\/p\u003e \u003cp\u003eProblems 15\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 OPTIMAL CONTROL OF DISCRETE-TIME SYSTEMS 19\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Solution of the General Discrete-Time Optimization Problem 19\u003c\/p\u003e \u003cp\u003e2.2 Discrete-Time Linear Quadratic Regulator 32\u003c\/p\u003e \u003cp\u003e2.3 Digital Control of Continuous-Time Systems 53\u003c\/p\u003e \u003cp\u003e2.4 Steady-State Closed-Loop Control and Suboptimal Feedback 65\u003c\/p\u003e \u003cp\u003e2.5 Frequency-Domain Results 96\u003c\/p\u003e \u003cp\u003eProblems 102\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 OPTIMAL CONTROL OF CONTINUOUS-TIME SYSTEMS 110\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 The Calculus of Variations 110\u003c\/p\u003e \u003cp\u003e3.2 Solution of the General Continuous-Time Optimization Problem 112\u003c\/p\u003e \u003cp\u003e3.3 Continuous-Time Linear Quadratic Regulator 135\u003c\/p\u003e \u003cp\u003e3.4 Steady-State Closed-Loop Control and Suboptimal Feedback 154\u003c\/p\u003e \u003cp\u003e3.5 Frequency-Domain Results 164\u003c\/p\u003e \u003cp\u003eProblems 167\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 THE TRACKING PROBLEM AND OTHER LQR EXTENSIONS 177\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 The Tracking Problem 177\u003c\/p\u003e \u003cp\u003e4.2 Regulator with Function of Final State Fixed 183\u003c\/p\u003e \u003cp\u003e4.3 Second-Order Variations in the Performance Index 185\u003c\/p\u003e \u003cp\u003e4.4 The Discrete-Time Tracking Problem 190\u003c\/p\u003e \u003cp\u003e4.5 Discrete Regulator with Function of Final State Fixed 199\u003c\/p\u003e \u003cp\u003e4.6 Discrete Second-Order Variations in the Performance Index 206\u003c\/p\u003e \u003cp\u003eProblems 211\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 FINAL-TIME-FREE AND CONSTRAINED INPUT CONTROL 213\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Final-Time-Free Problems 213\u003c\/p\u003e \u003cp\u003e5.2 Constrained Input Problems 232\u003c\/p\u003e \u003cp\u003eProblems 257\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 DYNAMIC PROGRAMMING 260\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Bellman’s Principle of Optimality 260\u003c\/p\u003e \u003cp\u003e6.2 Discrete-Time Systems 263\u003c\/p\u003e \u003cp\u003e6.3 Continuous-Time Systems 271\u003c\/p\u003e \u003cp\u003eProblems 283\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 OPTIMAL CONTROL FOR POLYNOMIAL SYSTEMS 287\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Discrete Linear Quadratic Regulator 287\u003c\/p\u003e \u003cp\u003e7.2 Digital Control of Continuous-Time Systems 292\u003c\/p\u003e \u003cp\u003eProblems 295\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 OUTPUT FEEDBACK AND STRUCTURED CONTROL 297\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Linear Quadratic Regulator with Output Feedback 297\u003c\/p\u003e \u003cp\u003e8.2 Tracking a Reference Input 313\u003c\/p\u003e \u003cp\u003e8.3 Tracking by Regulator Redesign 327\u003c\/p\u003e \u003cp\u003e8.4 Command-Generator Tracker 331\u003c\/p\u003e \u003cp\u003e8.5 Explicit Model-Following Design 338\u003c\/p\u003e \u003cp\u003e8.6 Output Feedback in Game Theory and Decentralized Control 343\u003c\/p\u003e \u003cp\u003eProblems 351\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 ROBUSTNESS AND MULTIVARIABLE FREQUENCY-DOMAIN TECHNIQUES 355\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 Introduction 355\u003c\/p\u003e \u003cp\u003e9.2 Multivariable Frequency-Domain Analysis 357\u003c\/p\u003e \u003cp\u003e9.3 Robust Output-Feedback Design 380\u003c\/p\u003e \u003cp\u003e9.4 Observers and the Kalman Filter 383\u003c\/p\u003e \u003cp\u003e9.5 LQG\/Loop-Transfer Recovery 408\u003c\/p\u003e \u003cp\u003e9.6 \u003ci\u003eH\u003c\/i\u003e∞ DESIGN 430\u003c\/p\u003e \u003cp\u003eProblems 435\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10 DIFFERENTIAL GAMES 438\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1 Optimal Control Derived Using Pontryagin’s Minimum Principle and the Bellman Equation 439\u003c\/p\u003e \u003cp\u003e10.2 Two-player Zero-sum Games 444\u003c\/p\u003e \u003cp\u003e10.3 Application of Zero-sum Games to \u003ci\u003eH\u003c\/i\u003e∞ Control 450\u003c\/p\u003e \u003cp\u003e10.4 Multiplayer Non-zero-sum Games 453\u003c\/p\u003e \u003cp\u003e\u003cb\u003e11 REINFORCEMENT LEARNING AND OPTIMAL ADAPTIVE CONTROL 461\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e11.1 Reinforcement Learning 462\u003c\/p\u003e \u003cp\u003e11.2 Markov Decision Processes 464\u003c\/p\u003e \u003cp\u003e11.3 Policy Evaluation and Policy Improvement 474\u003c\/p\u003e \u003cp\u003e11.4 Temporal Difference Learning and Optimal Adaptive Control 489\u003c\/p\u003e \u003cp\u003e11.5 Optimal Adaptive Control for Discrete-time Systems 490\u003c\/p\u003e \u003cp\u003e11.6 Integral Reinforcement Learning for Optimal Adaptive Control of Continuous-time Systems 503\u003c\/p\u003e \u003cp\u003e11.7 Synchronous Optimal Adaptive Control for Continuous-time Systems 513\u003c\/p\u003e \u003cp\u003e\u003cb\u003eAPPENDIX A REVIEW OF MATRIX ALGEBRA 518\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eA.1 Basic Definitions and Facts 518\u003c\/p\u003e \u003cp\u003eA.2 Partitioned Matrices 519\u003c\/p\u003e \u003cp\u003eA.3 Quadratic Forms and Definiteness 521\u003c\/p\u003e \u003cp\u003eA.4 Matrix Calculus 523\u003c\/p\u003e \u003cp\u003eA.5 The Generalized Eigenvalue Problem 525\u003c\/p\u003e \u003cp\u003eReferences 527\u003c\/p\u003e \u003cp\u003eIndex 535\u003c\/p\u003e   \u003cp\u003e\u003cb\u003eFRANK L. LEWIS\u003c\/b\u003e is the Moncrief-O'Donnell Professor and Head of the Advanced Controls, Sensors, and MEMS Group in the Automation and Robotics Research Institute of the University of Texas at Arlington. Dr. Lewis is also a Fellow of the IEEE.  \u003c\/p\u003e\u003cp\u003e\u003cb\u003eDRAGUNA L. VRABIE\u003c\/b\u003e is Graduate Research Assistant in Electrical Engineering at the University of Texas at Arlington, specializing in approximate dynamic programming for continuous state and action spaces, optimal control, adaptive control, model predictive control, and general theory of nonlinear systems.  \u003c\/p\u003e\u003cp\u003e\u003cb\u003eVASSILIS L. SYRMOS\u003c\/b\u003e is a Professor in the Department of Electrical Engineering and the Associate Vice Chancellor for Research and Graduate Education at the University of Hawaii at Manoa.     \u003c\/p\u003e\u003cp\u003e\u003cb\u003eA NEW EDITION OF THE CLASSIC TEXT ON OPTIMAL CONTROL THEORY\u003c\/b\u003e  \u003c\/p\u003e\u003cp\u003eAs a superb introductory text and an indispensable reference, this new edition of \u003ci\u003eOptimal Control\u003c\/i\u003e will serve the needs of both the professional engineer and the advanced student in mechanical, electrical, and aerospace engineering. Its coverage encompasses all the fundamental topics as well as the major changes that have occurred in recent years. An abundance of computer simulations using MATLAB and relevant Toolboxes is included to give the reader the actual experience of applying the theory to real-world situations. Major topics covered include:  \u003c\/p\u003e\u003cul\u003e \u003cli\u003eStatic Optimization\u003c\/li\u003e \u003cli\u003eOptimal Control of Discrete-Time Systems\u003c\/li\u003e \u003cli\u003eOptimal Control of Continuous-Time Systems\u003c\/li\u003e \u003cli\u003eThe Tracking Problem and Other LQR Extensions\u003c\/li\u003e \u003cli\u003eFinal-Time-Free and Constrained Input Control\u003c\/li\u003e \u003cli\u003eDynamic Programming\u003c\/li\u003e \u003cli\u003eOptimal Control for Polynomial Systems\u003c\/li\u003e \u003cli\u003eOutput Feedback and Structured Control\u003c\/li\u003e \u003cli\u003eRobustness and Multivariable Frequency-Domain Techniques\u003c\/li\u003e \u003cli\u003eDifferential Games\u003c\/li\u003e \u003cli\u003eReinforcement Learning and Optimal Adaptive Control\u003c\/li\u003e \u003c\/ul\u003e","brand":"Wiley","offers":[{"title":"Default Title","offer_id":47989721563365,"sku":"NP9780470633496","price":176.95,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1842\/7735\/files\/9780470633496.jpg?v=1761785245","url":"https:\/\/k12savings.com\/products\/optimal-control-isbn-9780470633496","provider":"K12savings","version":"1.0","type":"link"}