Linear System Theory and Design: International Fourth Edition by Chi-Tsong Chen

Description: Linear System Theory and Design by Chi-Tsong Chen Striking a balance between theory and applications, Linear System Theory and Design, INternational Fourth Edition, uses simple and efficient methods to develop results and design procedures that students can readily employ. Ideal for advanced undergraduate courses and first-year graduate courses in linear systems and multivariable system design, it is also a helpful resource for practicing engineers. FORMAT Paperback LANGUAGE English CONDITION Brand New Publisher Description Striking a balance between theory and applications, Linear System Theory and Design, INternational Fourth Edition, uses simple and efficient methods to develop results and design procedures that students can readily employ. Ideal for advanced underrgraduate courses and first-year graduate courses in linear systems and multivariable system design, it is also a helpful resource for practicing engineers. Author Biography Chi-Tsong Chen is Professor Emeritus of Electrial and Computer Engineering at Stony Brook University, New York Table of Contents 1 Introduction1.1 Introduction1.2 Overview1.2.1 A brief history2 Mathematical Descriptions of Systems2.1 Introduction2.2 Causality, lumpedness, and time-invariance2.2.1 Impulses2.3 Linear time-invariant (LTI) systems2.3.1 Multi-input multi-output case2.4 Linear time-varying systems2.3.1 Linearization2.5 RLC circuits { Comparisons of various descriptions2.6 Mechanical and hydraulic systems2.7 Proper rational transfer functions2.8 Discrete-time linear time-invariant systems2.9 Concluding remarksProblems3 Linear Algebra3.1 Introduction3.2 Basis, representation, and orthonormalization3.3 Linear algebraic equations3.4 Similarity transformation3.5 Diagonal form and Jordan form3.6 Functions of a square matrix3.7 Lyapunov equation3.8 Some useful formula3.9 Quadratic form and positive de niteness3.10 Singular value decomposition3.11 Norms of matricesProblems4 State-Space Solutions and Realizations4.1 Introduction4.2 General solution of CT LTI state-space equations4.2.1 Discretization4.2.2 General solution of DT LTI state-space equations4.3 Computer computation of CT state-space equations4.3.1 Real-time processing4.3.2 Op-amp circuit implementation4.4 Equivalent state equations4.4.1 Canonical forms4.3.2 Magnitude scaling in op-amp circuits4.5 Realizations4.5.1 Multi-input multi-output case4.6 Solution of linear time-varying (LTV) equations4.6.1 Discrete-time case4.7 Equivalent time-varying equations4.8 Time-varying realizationsProblems5 Stability5.1 Introduction5.2 Input-output stability of LTI systems5.3 Discrete-time case5.4 Internal stability5.4.1 Discrete-time case5.5 Lyapunov theorem5.5.1 Discrete-time case5.6 Stability of LTV systemsProblems6 Controllability and Observability6.1 Introduction .6.2 Controllability6.2.1 Controllability indices6.3 Observability6.3.1 Observability indices6.4 Canonical decomposition6.5 Conditions in Jordan-form equations6.6 Discrete-time state-space equations .6.6.1 Controllability to the origin and reachability6.7 Controllability after sampling6.8 LTV state-space equationsProblems7 Minimal Realizations and Coprime Fractions7.1 Introduction7.2 Implications of coprimeness7.2.1 Minimal realizations7.2.2 Complete characterization7.3 Computing coprime fractions7.3.1 QR decomposition7.4 Balanced realization7.5 Realizations from Markov parameters7.6 Degree of transfer matrices7.7 Minimal realizations{Matrix case7.8 Matrix polynomial fractions7.8.1 Column and row reducedness7.8.2 Computing matrix coprime fractions7.9 Realization from matrix coprime fractions7.10 Realizations from matrix Markov parameters7.11 Concluding remarksProblems8 State Feedback and State Estimators8.1 Introduction8.2 State feedback8.2.1 Solving Lyapunov equation8.3 Regulation and tracking8.3.1 Robust tracking and disturbance rejection8.3.2 Stabilization8.4 State estimator8.4.1 Reduced-dimensional state estimator8.5 Feedback from estimated states .8.6 State feedback{MIMO case8.6.1 Cyclic design8.6.2 Lyapunov-equation method8.6.3 Canonical-form method8.6.4 E ect on transfer matrices8.7 State estimators{MIMO case8.8 Feedback from estimated states{MIMO caseProblems9 Pole Placement and Model Matching9.1 Introduction9.2 Preliminary { Matching coe cients9.2.1 Compensator equation{Classical method9.3 Unity-feedback con guration{Pole placement9.3.1 Regulation and tracking9.3.2 Robust tracking and disturbance rejection9.3.3 Embedding internal models9.4 Implementable transfer functions9.4.1 Model matching{Two-parameter con guration9.4.2 Implementation of two-parameter compensators9.5 MIMO unity feedback systems9.5.1 Regulation and tracking9.5.2 Robust tracking and disturbance rejection9.6 MIMO model matching{Two-parameter con guration9.6.1 Decoupling9.7 Concluding remarksProblemsReferencesAnswers to Selected ProblemsIndex Long Description Striking a balance between theory and applications, Linear System Theory and Design, INternational Fourth Edition, uses simple and efficient methods to develop results and design procedures that students can readily employ. Ideal for advanced underrgraduate courses and first-year graduate courses in linear systems and multivariable system design, it is also a helpful resource for practicing engineers. Feature Selling point: PowerPoint-based versions of the figures from the text are available to adopters via the companion website at point: An instructors Solutions Manual is available to adopters New Feature 1 Introduction 1.1 Introduction 1.2 Overview 1.2.1 A brief history 2 Mathematical Descriptions of Systems 2.1 Introduction 2.2 Causality, lumpedness, and time-invariance 2.2.1 Impulses 2.3 Linear time-invariant (LTI) systems 2.3.1 Multi-input multi-output case 2.4 Linear time-varying systems 2.3.1 Linearization 2.5 RLC circuits { Comparisons of various descriptions 2.6 Mechanical and hydraulic systems 2.7 Proper rational transfer functions 2.8 Discrete-time linear time-invariant systems 2.9 Concluding remarks Problems 3 Linear Algebra 3.1 Introduction 3.2 Basis, representation, and orthonormalization 3.3 Linear algebraic equations 3.4 Similarity transformation 3.5 Diagonal form and Jordan form 3.6 Functions of a square matrix 3.7 Lyapunov equation 3.8 Some useful formula 3.9 Quadratic form and positive de niteness 3.10 Singular value decomposition 3.11 Norms of matrices Problems 4 State-Space Solutions and Realizations 4.1 Introduction 4.2 General solution of CT LTI state-space equations 4.2.1 Discretization 4.2.2 General solution of DT LTI state-space equations 4.3 Computer computation of CT state-space equations 4.3.1 Real-time processing 4.3.2 Op-amp circuit implementation 4.4 Equivalent state equations 4.4.1 Canonical forms 4.3.2 Magnitude scaling in op-amp circuits 4.5 Realizations 4.5.1 Multi-input multi-output case 4.6 Solution of linear time-varying (LTV) equations 4.6.1 Discrete-time case 4.7 Equivalent time-varying equations 4.8 Time-varying realizations Problems 5 Stability 5.1 Introduction 5.2 Input-output stability of LTI systems 5.3 Discrete-time case 5.4 Internal stability 5.4.1 Discrete-time case 5.5 Lyapunov theorem 5.5.1 Discrete-time case 5.6 Stability of LTV systems Problems 6 Controllability and Observability 6.1 Introduction . 6.2 Controllability 6.2.1 Controllability indices 6.3 Observability 6.3.1 Observability indices 6.4 Canonical decomposition 6.5 Conditions in Jordan-form equations 6.6 Discrete-time state-space equations . 6.6.1 Controllability to the origin and reachability 6.7 Controllability after sampling 6.8 LTV state-space equations Problems 7 Minimal Realizations and Coprime Fractions 7.1 Introduction 7.2 Implications of coprimeness 7.2.1 Minimal realizations 7.2.2 Complete characterization 7.3 Computing coprime fractions 7.3.1 QR decomposition 7.4 Balanced realization 7.5 Realizations from Markov parameters 7.6 Degree of transfer matrices 7.7 Minimal realizations{Matrix case 7.8 Matrix polynomial fractions 7.8.1 Column and row reducedness 7.8.2 Computing matrix coprime fractions 7.9 Realization from matrix coprime fractions 7.10 Realizations from matrix Markov parameters 7.11 Concluding remarks Problems 8 State Feedback and State Estimators 8.1 Introduction 8.2 State feedback 8.2.1 Solving Lyapunov equation 8.3 Regulation and tracking 8.3.1 Robust tracking and disturbance rejection 8.3.2 Stabilization 8.4 State estimator 8.4.1 Reduced-dimensional state estimator 8.5 Feedback from estimated states . 8.6 State feedback{MIMO case 8.6.1 Cyclic design 8.6.2 Lyapunov-equation method 8.6.3 Canonical-form method 8.6.4 E ect on transfer matrices 8.7 State estimators{MIMO case 8.8 Feedback from estimated states{MIMO case Problems 9 Pole Placement and Model Matching 9.1 Introduction 9.2 Preliminary { Matching coe cients 9.2.1 Compensator equation{Classical method 9.3 Unity-feedback con guration{Pole placement 9.3.1 Regulation and tracking 9.3.2 Robust tracking and disturbance rejection 9.3.3 Embedding internal models 9.4 Implementable transfer functions 9.4.1 Model matching{Two-parameter con guration 9.4.2 Implementation of two-parameter compensators 9.5 MIMO unity feedback systems 9.5.1 Regulation and tracking 9.5.2 Robust tracking and disturbance rejection 9.6 MIMO model matching{Two-parameter con guration 9.6.1 Decoupling 9.7 Concluding remarks Problems References Answers to Selected Problems Index Details ISBN0199964548 ISBN-10 0199964548 ISBN-13 9780199964543 Media Book Pages 416 DEWEY 629.832 Subtitle International Fourth Edition Year 2014 Publication Date 2014-02-27 Format Paperback Imprint Oxford University Press Inc Place of Publication New York Country of Publication United States Publisher Oxford University Press Inc Short Title Linear System Theory and Design Language English UK Release Date 2014-02-27 Illustrations b/w illus. AU Release Date 2014-02-27 NZ Release Date 2014-02-27 US Release Date 2014-02-27 Edition Description 4th Revised edition Edition 4th Audience Undergraduate Author Chi-Tsong Chen Series The Oxford Series in Electrical and Computer Engineering We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:95365719;

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