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| موضوع: كتاب Systems and Control -Stanislaw H.Zak الجمعة 12 أبريل 2013, 1:22 pm | |
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أخوانى فى الله أحضرت لكم كتاب
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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