كتاب Robust and Optimal Control
منتدى هندسة الإنتاج والتصميم الميكانيكى
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منتدى هندسة الإنتاج والتصميم الميكانيكى
بسم الله الرحمن الرحيم

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 كتاب Robust and Optimal Control

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عدد المساهمات : 18984
التقييم : 35458
تاريخ التسجيل : 01/07/2009
الدولة : مصر
العمل : مدير منتدى هندسة الإنتاج والتصميم الميكانيكى

كتاب  Robust and Optimal Control Empty
مُساهمةموضوع: كتاب Robust and Optimal Control   كتاب  Robust and Optimal Control Emptyالجمعة 12 أبريل 2013, 1:29 pm

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Robust and Optimal Control
KEMIN ZHOU
with JOHN C. DOYLE and KEITH GLOVER

ويتناول الموضوعات الأتية :

Notation and Symbols xvi
List of Acronyms xx
Introduction
Historical Perspective
How to Use This Book
Highlights of The Book
Linear Algebra
Linear Subspaces
Eigenvalues and Eigenvectors
Matrix Inversion Formulas
Matrix Calculus
Kronecker Product and Kronecker Sum
Invariant Subspaces
Vector Norms and Matrix Norms
Singular Value Decomposition
Generalized Inverses
Semide nite Matrices
Matrix Dilation Problems*
Notes and References
Linear Dynamical Systems
Descriptions of Linear Dynamical Systems
vii
viii CONTENTS
Controllability and Observability
Kalman Canonical Decomposition
Pole Placement and Canonical Forms
Observers and Observer-Based Controllers
Operations on Systems
State Space Realizations for Transfer Matrices
Lyapunov Equations
Balanced Realizations
Hidden Modes and Pole-Zero Cancelation
Multivariable System Poles and Zeros
Notes and References
Performance Speci cations
Normed Spaces
Hilbert Spaces
Hardy Spaces H and H
Power and Spectral Signals
Induced System Gains
Computing L and H Norms
Computing L and H Norms
Notes and References
Stability and Performance of Feedback Systems
Feedback Structure
Well-Posedness of Feedback Loop
Internal Stability
Coprime Factorization over RH
Feedback Properties
The Concept of Loop Shaping
Weighted H and H Performance
Notes and References
Performance Limitations
Introduction
Integral Relations
Design Limitations and Sensitivity Bounds
Bode's Gain and Phase Relation
Notes and References
CONTENTS ix
Model Reduction by Balanced Truncation
Model Reduction by Balanced Truncation
Frequency-Weighted Balanced Model Reduction
Relative and Multiplicative Model Reductions
Notes and References
Hankel Norm Approximation
Hankel Operator
All-pass Dilations
Optimal Hankel Norm Approximation
L Bounds for Hankel Norm Approximation
Bounds for Balanced Truncation
Toeplitz Operators
Hankel and Toeplitz Operators on the Disk*
Nehari's Theorem*
Notes and References
Model Uncertainty and Robustness
Model Uncertainty
Small Gain Theorem
Stability under Stable Unstructured Uncertainties
Unstructured Robust Performance
Gain Margin and Phase Margin
De ciency of Classical Control for MIMO Systems
Notes and References
Linear Fractional Transformation
Linear Fractional Transformations
Examples of LFTs
Basic Principle
Redhe er Star-Products
Notes and References
Structured Singular Value
General Framework for System Robustness
Structured Singular Value
Structured Robust Stability and Performance
Overview on  Synthesis
Notes and References
x CONTENTS
Parameterization of Stabilizing Controllers
Existence of Stabilizing Controllers
Duality and Special Problems
Parameterization of All Stabilizing Controllers
Structure of Controller Parameterization
Closed-Loop Transfer Matrix
Youla Parameterization via Coprime Factorization*
Notes and References
Algebraic Riccati Equations
All Solutions of A Riccati Equation
Stabilizing Solution and Riccati Operator
Extreme Solutions and Matrix Inequalities
Spectral Factorizations
Positive Real Functions
Inner Functions
Inner-Outer Factorizations
Normalized Coprime Factorizations
Notes and References
H Optimal Control
Introduction to Regulator Problem
Standard LQR Problem
Extended LQR Problem
Guaranteed Stability Margins of LQR
Standard H Problem
Optimal Controlled System
H Control with Direct Disturbance Feedforward*
Special Problems
Separation Theory
Stability Margins of H Controllers
Notes and References
Linear Quadratic Optimization
Hankel Operators
Toeplitz Operators
Mixed Hankel-Toeplitz Operators
Mixed Hankel-Toeplitz Operators: The General Case*
Linear Quadratic Max-Min Problem
Notes and References
CONTENTS xi
H Control: Simple Case
Problem Formulation
Output Feedback H Control
Motivation for Special Problems
Full Information Control
Full Control
Disturbance Feedforward
Output Estimation
Separation Theory
Optimality and Limiting Behavior
Controller Interpretations
An Optimal Controller
Notes and References
H Control: General Case
General H Solutions
Loop Shifting
Relaxing Assumptions
H and H Integral Control
H Filtering
Youla Parameterization Approach*
Connections
State Feedback and Di erential Game
Parameterization of State Feedback H Controllers
Notes and References
H Loop Shaping
Robust Stabilization of Coprime Factors
Loop Shaping Using Normalized Coprime Stabilization
Theoretical Justi cation for H Loop Shaping
Notes and References
Controller Order Reduction
Controller Reduction with Stability Criteria
H Controller Reductions
Frequency-Weighted L Norm Approximations
An Example
Notes and References
xii CONTENTS
Structure Fixed Controllers
Lagrange Multiplier Method
Fixed Order Controllers
Notes and References
Discrete Time Control
Discrete Lyapunov Equations
Discrete Riccati Equations
Bounded Real Functions
Matrix Factorizations
Discrete Time H Control
Discrete Balanced Model Reduction
Model Reduction Using Coprime Factors
Notes and References
Bibliography
Index

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