كتاب Systems and Control -Stanislaw H.Zak
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 كتاب Systems and Control -Stanislaw H.Zak

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عدد المساهمات : 14270
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تاريخ التسجيل : 01/07/2009
العمر : 28
الدولة : مصر
العمل : مدير منتدى هندسة الإنتاج والتصميم الميكانيكى
الجامعة : المنوفية

مُساهمةموضوع: كتاب Systems and Control -Stanislaw H.Zak   الجمعة 12 أبريل 2013, 1:22 pm

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Systems and Control
Stanislaw H.Zak
School of Electrical and Computer Engineering
Purdue University

ويتناول الموضوعات الأتية :

Dynamical Systems and Modeling
What Is a System?
Open-Loop Versus Closed-Loop
Axiomatic Definition of a Dynamical System
Mathematical Modeling
Review of Work and Energy Concepts
The Lagrange Equations of Motion
Modeling Examples
Centrifugal Governor
Ground Vehicle
Permanent Magnet Stepper Motor
Stick Balancer
Population Dynamics
Notes
Exercises
Analysis of Modeling Equations
State-Plane Analysis
Examples of Phase Portraits
The Method of Isoclines
Numerical Techniques
The Method of Taylor Series
Euler’s Methods
Predictor–Corrector Method
Runge’s Method
Runge–Kutta Method
Principles of Linearization
Linearizing Differential Equations
Describing Function Method
Scalar Product of Functions
Fourier Series
Describing Function in the Analysis of Nonlinear Systems
Notes
Exercises
Linear Systems
Reachability and Controllability
Observability and Constructability
Companion Forms
Controller Form
Observer Form
Linear State-Feedback Control
State Estimators
Full-Order Estimator
Reduced-Order Estimator
Combined Controller–Estimator Compensator
Notes
Exercises
Stability
Informal Introduction to Stability
Basic Definitions of Stability
Stability of Linear Systems
Evaluating Quadratic Indices
Discrete-Time Lyapunov Equation
Constructing Robust Linear Controllers
Hurwitz and Routh Stability Criteria
Stability of Nonlinear Systems
Lyapunov’s Indirect Method
Discontinuous Robust Controllers
Uniform Ultimate Boundedness
Lyapunov-Like Analysis
LaSalle’s Invariance Principle
Notes
Exercises
Optimal Control
Performance Indices
A Glimpse at the Calculus of Variations
Variation and Its Properties
Euler–Lagrange Equation
Linear Quadratic Regulator
Algebraic Riccati Equation (ARE)
Solving the ARE Using the Eigenvector Method
Optimal Systems with Prescribed Poles
Optimal Saturating Controllers
Linear Quadratic Regulator for Discrete Systems on an Infinite
Time Interval
Dynamic Programming
Discrete-Time Systems
Discrete Linear Quadratic Regulator Problem
Continuous Minimum Time Regulator Problem
The Hamilton–Jacobi–Bellman Equation
Pontryagin’s Minimum Principle
Optimal Control with Constraints on Inputs
A Two-Point Boundary-Value Problem
Notes
Exercises
Sliding Modes
Simple Variable Structure Systems
Sliding Mode Definition
A Simple Sliding Mode Controller
Sliding in Multi-Input Systems
Sliding Mode and System Zeros
Nonideal Sliding Mode
Sliding Surface Design
State Estimation of Uncertain Systems
Discontinuous Estimators
Boundary Layer Estimators
Sliding Modes in Solving Optimization Problems
Optimization Problem Statement
Penalty Function Method
Dynamical Gradient Circuit Analysis
Notes
Exercises
Vector Field Methods
A Nonlinear Plant Model
Controller Form
Linearizing State-Feedback Control
Observer Form
Asymptotic State Estimator
Combined Controller–Estimator Compensator
Notes
Exercises
Fuzzy Systems
Motivation and Basic Definitions
Fuzzy Arithmetic and Fuzzy Relations
Interval Arithmetic
Manipulating Fuzzy Numbers
Fuzzy Relations
Composition of Fuzzy Relations
Standard Additive Model
Fuzzy Logic Control
Stabilization Using Fuzzy Models
Fuzzy Modeling
Constructing a Fuzzy Design Model Using a
Nonlinear Model
Stabilizability of Fuzzy Models
A Lyapunov-Based Stabilizer
Stability of Discrete Fuzzy Models
Fuzzy Estimator
The Comparison Method for Linear Systems
Stability Analysis of the Closed-Loop System
Adaptive Fuzzy Control
Plant Model and Control Objective
Background Results
Controllers
Examples
Notes
Exercises
Neural Networks
Threshold Logic Unit
Identification Using Adaptive Linear Element
Backpropagation
Neural Fuzzy Identifier
Radial-Basis Function (RBF) Networks
Interpolation Using RBF Networks
Identification of a Single-Input, Single-State System
Learning Algorithm for the RBF Identifier
Growing RBF Network
Identification of Multivariable Systems
A Self-Organizing Network
Hopfield Neural Network
Hopfield Neural Network Modeling and Analysis
Analog-to-Digital Converter
Hopfield Network Stability Analysis
Hopfield Network Model Analysis
Single-Neuron Stability Analysis
Stability Analysis of the Network
Brain-State-in-a-Box (BSB) Models
Associative Memories
Analysis of BSB Models
Synthesis of Neural Associative Memory
Learning
Forgetting
Notes
Exercises
Genetic and Evolutionary Algorithms
Genetics as an Inspiration for an Optimization Approach
Implementing a Canonical Genetic Algorithm
Analysis of the Canonical Genetic Algorithm
Simple Evolutionary Algorithm (EA)
Evolutionary Fuzzy Logic Controllers
Vehicle Model and Control Objective
Case : EA Tunes Fuzzy Rules
Case : EA Tunes Fuzzy Membership Functions
Case : EA Tunes Fuzzy Rules and Membership Functions
Notes
Exercises
Chaotic Systems and Fractals
Chaotic Systems Are Dynamical Systems with Wild Behavior
Chaotic Behavior of the Logistic Equation
The Logistic Equation—An Example from Ecology
Stability Analysis of the Logistic Map
Period Doubling to Chaos
The Feigenbaum Numbers
Fractals
The Mandelbrot Set
Julia Sets
Iterated Function Systems
Lyapunov Exponents
Discretization Chaos
Controlling Chaotic Systems
Ingredients of Chaotic Control Algorithm
Chaotic Control Algorithm
Notes
Exercises
Appendix: Math Review
ANotation and Methods of Proof
AVectors
AMatrices and Determinants
AQuadratic Forms
AThe Kronecker Product
AUpper and Lower Bounds
ASequences
AFunctions
ALinear Operators
AVector Spaces
ALeast Squares
AContraction Maps
AFirst-Order Differential Equation
AIntegral and Differential Inequalities
AThe Bellman-Gronwall Lemma
AA Comparison Theorem
ASolving the State Equations
ASolution of Uncontrolled System
ASolution of Controlled System
ACurves and Surfaces
AVector Fields and Curve Integrals
AMatrix Calculus Formulas
Notes
Exercises
Bibliography
Index

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