Linear system theory and design
"An extensive revision of the author's highly successful text, this third edition of Linear System Theory and Design has been made more accessible to students from all related backgrounds. After introducing the fundamental properties of linear systems, the text discusses design using state equations and transfer functions." "The two main objectives of the text are to: use simple and efficient methods to develop results and design procedures; enable students to employ the results to carry out design." "Striking a balance between theory and applications, Linear System Theory and Design, 3/e, is ideal for use in advanced undergraduate/first-year graduate courses in linear systems and multivariable system design in electrical, mechanical, chemical, and aeronautical engineering departments. It assumes a working knowledge of linear algebra and the Laplace transform and an elementary knowledge of differential equations."--BOOK JACKET
Print Book, English, ©1999
Oxford University Press, New York, ©1999
xiii, 334 pages : illustrations ; 25 cm.
9780195117776, 9780195117783, 0195117778, 0195117786
37721303
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; References