Linear System Theory and Design

Linear System Theory and Design

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Description

This text is an extensive revision of the author's highly successful text, "Linear Systems Theory and Design". In the third edition, the author is revising his formerly more theoretical approach to the topic of linear systems, choosing instead a more general approach that will appeal to a wider audience. A key feature of the revision is the incorporation of MATLAB throughout the text, with an emphasis on the ideas behind the computation and the interpretation of the results. The user-friendly approach to linear systems strikes a balance between theory and applications. The text is intended for undergraduate students of linear systems and multivariable system design.show more

Product details

  • Hardback | 348 pages
  • 193.04 x 236.22 x 22.86mm | 793.78g
  • Oxford University Press Inc
  • New York, United States
  • English
  • Revised
  • 3rd Revised edition
  • numerous figures
  • 0195117778
  • 9780195117776
  • 942,161

Table of contents

1. Introduction; 1.1 Introduction; 1.2 Overview; 2. Mathematical Descriptions of Systems; 2.1 Introduction; 2.1.1 Causality and Lumpedness; 2.2 Linear Systems; 2.3 Linear Time-Invariant (LTI) Systems; 2.4 Linearization; 2.5 Examples; 2.5.1 RLC Networks; 2.6 Discrete-Time Systems; 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 Definiteness; 3.10 Singular Valve Decomposition; 3.11 Norms of Matrices; 4. State-Space Solutions And Realizations; 4.1 Introduction; 4.2 Solution Of LTI State Equations; 4.2.1 Discretization; 4.2.2 Solution of Discrete-Time Equations; 4.3 Equivalent State Equations; 4.3.1 Canonical Forms; 4.3.2 Magnitude Scaling In Op-Amp Circuits; 4.4 Realizations; 4.5 Solution Of Linear Time-Varying (LTV) Equations; 4.5.1 Discrete-Time Case; 4.6 Equivalent Time-Varying Equations; 5. Stability; 5.1 Introduction; 5.2 Input-Output Stability Of LTI Systems; 5.2.1 Discrete-Time Case; 5.3 Internal Stability; 5.3.1 Discrete-Time Case; 5.4 Lyapunov Theorem; 5.5 Stability Of LTV Systems; 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 Equations; 6.6.1 Controllability To The Origin And Reachability; 6.7 Controllability After Sampling; 6.8 LTV State Equations; 7. Minimal Realizations And Coprime Fractions; 7.1 Introduction; 7.2 Implications Of Coprimeness; 7.2.1 Minimal Realizations; 7.3 Computing Coprime Ffractions; 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 Reduceness; 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; 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-Multivariable Case; 8.6.1 Cyclic Design; 8.6.2 Lyapunov-Equation Method; 8.6.3 Canonical-Form Method; 8.6.4 Effect Of Transfer Matrices; 8.7 State Estimators-Multivariable Case; 8.8 Feedback From Estimated States-Multivariable Case; 9. Pole Placement And Model Matching; 9.1 Introduction; 9.1.1 Compensator Equation-Classical Method; 9.2 Unity-Feedback Configuration-Pole Placement; 9.2.1 Regulation And Tracking; 9.2.2 Robust Tracking And Disturbance Rejection; 9.2.3 Embedding Internal Models; 9.3 Implementable Transfer Functions; 9.3.1 Model-Matching Two-Parameter Configuration; 9.3.2 Implementation Of Two-Parameter Compensators; 9.4 Multivariable Unity Feedback Systems; 9.4.1 Regulation And Tracking; 9.4.2 Robust Tracking And Disturbance Rejection; 9.5 Multivariable Model Marching-Two-Parameter Configuration; 9.5.1 Decoupling; 9.6 Concluding Remarks; Referencesshow more

Rating details

32 ratings
4.28 out of 5 stars
5 53% (17)
4 28% (9)
3 12% (4)
2 6% (2)
1 0% (0)
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