Preface
1 Introduction
1.1 Introduction
1.2 Introduction to Control Systems
1.3 Definitions
1.4 Historical Background
1.5 Digital Control Development
1.6 Mathematical Background
1.7 General Nature of the Engineering Control Problem
1.8 Computer Literacy
1.9 Outline of Text
2 Writing System Equations
2.1 Introduction
2.2 Electric Circuits and Components
2.3 Basic Linear Matrix Algebra
2.4 State Concepts
2.5 Transfer Function and Block Diagram
2.6 Mechanical Translation Systems
2.7 Analogous Circuits
2.8 Mechanical Rotational Systems
2.9 Thermal Systems
2.10 Hydraulic Linear Actuator
2.11 Liquid-Level System
2.12 Rotating Power Amplifiers
2.13 DC Servomotor
2.14 AC Servomotor
2.15 Lagrange,s Equation
2.16 Summary
3 Solution of Differential Equations
3.1 Introduction
3.2 Standard Inputs to Control Systems
3.3 Steady-State Response: Sinusoidal Input
3,4 Steady-State Response: Polynomial Input
3.5 Transient Response: Classical Method
3.6 Definition of Time Constant
3.7 Example: Second-Order System--Mechanical
3.8 Example: Second-Order System--Electrical
3.9 Second-Order Transients
3.10 Time-Response Specifications
3.11 CAD Accuracy Checks (CADAC)
3.12 State-Variable Equations
3.13 Characteristic Values
3.14 Evaluating the State Transition Matrix
3.15 Complete Solution of the State Equation
3.16 Summary
4 Laplace Transform
4. I Introduction
4.2 Definition of the Laplace Transform
4.3 Derivation of Laplace Transforms of Simple Functions
4.4 Laplace Transform Theorems
4.5 CAD Accuracy Checks: CADAC
4.6 Application of the Laplace Transform to Differential Equations
4.7 Inverse Transformation
4.8 Heaviside Partial-Fraction Expansion Theorems
4.9 MATLAB Partial-Fraction Example
4.10 Partial-Fraction Shortcuts
4.11 Graphical Interpretation of Partial-Fraction Coefficients
4.12 Frequency Response from the Pole-Zero Diagram
4.13 Location of Poles and Stability
4.14 Laplace Transform of the Impulse Function
4.15 Second-Order System with Impulse Excitation
4.16 Additional Matrix Operations and Properties
4.17 Solution of State Equation
4.18 Evaluation of the Transfer-Function Matrix
4.19 Summary
5 System Representation
5.1 Introduction
5.2 Block Diagrams
5.3 Determination of the Overall Transfer Function
5.4 Standard Block Diagram Terminology
5.5 Position Control System
5.6 Simulation Diagrams
5.7 Signal Flow Graphs
5.8 State Transition Signal Flow Graph
5.9 Parallel State Diagrams from Transfer Functions
5.10 Diagonalizing the A Matrix
5.11 Use of State Transformation for the State Equation Solution
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6 Control-System Characteristics
7 Root Locus
8 Frequency Response
9 Closed-Loop Tracking Performance Based on the Frequency Response
10 Root-Locus Compensation:Design
11 Frequency-Response Compensation Design
12 Control-Ratio Modeling
13 Design: Closed-Loop Pole-Zero Assignment
14 Parameter Sensitivity and State Space Trajectories
15 Digital Control Systems
16 Entire Eigenstructure Assignment for Multivariable Systems
17 Design of Tracking Systems Using Output Feedback
18 Quantitative Feedback Theory (QFT) Technique
Aooendixes