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Preface | |
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Basic Concepts | |
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Introduction | |
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Control Terminology | |
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Functioning of a Control System | |
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Examples of Closed-Loop Control Systems | |
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Problems | |
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Block Diagrams | |
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Introduction | |
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Definition of a Block Diagram | |
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Summing Point | |
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Takeoff Point | |
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Block Diagram Representation of an Equation | |
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Block Diagram Representation of Control Systems | |
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Transfer Functions | |
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General Transfer Function | |
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Transfer Function of a Closed-Loop System | |
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Comparison of Positive-Feedback and Negative-Feedback Systems | |
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Unity Feedback Systems | |
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Conversion to a Unity Feedback System | |
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Block Diagram Simplification | |
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Op-Amp Simulation of a Block Diagram | |
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Summing Point | |
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Summing Point with Adjustable SP Input | |
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Gain Block | |
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Constant-Gain (Noninverting) Block | |
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Constant-Gain (Inverting) Block | |
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Takeoff Point | |
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Summing Point with Multiple Inputs | |
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Problems | |
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Laplace Transforms | |
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Introduction | |
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Transformations | |
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Laplace Transform Integral | |
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Transform Notation | |
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Rules of Transformation | |
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Forward Transformation Procedure | |
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Inverse Transformation Procedure | |
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Partial-Fraction Expansion | |
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Distinct Roots | |
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Repeated Roots | |
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Applications of Laplace Transforms: Differential Equations | |
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Problems | |
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Mathematical Modeling | |
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Introduction | |
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Mathematical Model | |
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Nonlinear Behavior | |
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Transfer Functions | |
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Electrical Networks | |
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Resistor | |
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Capacitor | |
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Inductor | |
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Series RC Circuit | |
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Series RL Circuit | |
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Series RLC Circuit | |
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Mechanical Systems | |
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Mass | |
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Spring | |
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Damper | |
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Spring Mass Damper System | |
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Analogy Between Physical Systems | |
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Fluid Systems | |
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Single-Tank Fluid-Level System | |
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Two-Tank Fluid-Level System | |
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Thermal Systems | |
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Heating Systems | |
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Problems | |
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Transient Response | |
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Introduction | |
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Time Response | |
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Input Functions | |
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Step Function | |
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Pulse Function | |
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Impulse Function | |
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Delayed Impulse Function | |
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Ramp Function | |
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Sinusoidal Function | |
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Types of Transient Responses | |
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Overdamped Response | |
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Critically Damped Response | |
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Underdamped Response | |
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Constant Oscillations | |
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Increasing Oscillations | |
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Exponential Rise | |
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Transient Response Through Laplace Transformation | |
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Impulse Function Response | |
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Characteristic Equation | |
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Poles and Zeros of the Transfer Function | |
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s-Plane and Pole-Zero Map | |
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Pole Location and Transient Response | |
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Problems | |
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Frequency Response | |
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Introduction | |
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Methods Used for Frequency Response Representation | |
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Frequency Response Determination | |
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Problems | |
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Common Transfer Functions | |
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Introduction | |
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Common Blocks (Transfer Functions) | |
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Constant Block | |
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Time Response of a Constant TF | |
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Frequency Response of a Constant Block | |
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Integral Block | |
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Time Response of an Integral Block | |
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Frequency Response of an Integral Block | |
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Derivative Block | |
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Time Response of a Derivative Block | |
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Frequency Response of a Derivative Block | |
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The Relationship Between Integral and Derivative Blocks | |
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First-Order Lag Block | |
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Time Response to a Unit Step Input | |
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Frequency Response of a First-Order Lag Block | |
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First-Order Lead Block | |
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Time Response to a Unit Step Input | |
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Frequency Response of a First-Order Lead Block | |
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Second-Order Lag Block | |
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Time Response to a Unit Step Input | |
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Characteristics of Underdamped Response | |
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Frequency Response of a Second-Order Lag Block | |
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Second-Order Lead Block | |
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Time Response to a Unit Step Input | |
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Frequency Response of a Second-Order Lead Block | |
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Dead Time: Transportation Lag Block | |
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Time Response to a Unit Step Input | |
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Frequency Response of a Dead-Time Block | |
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Problems | |
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Stability | |
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Introduction | |
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Concept of Stability | |
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Stability and the Open-Loop Transfer Function | |
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Open-Loop Gain and Operating Frequency | |
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Stability from a Bode Plot | |
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Gain and Phase Margins | |
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Gain and Phase Crossover Frequencies | |
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Gain Margin (GM) | |
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Phase Margin (PM) | |
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Desired Gain and Phase Margins | |
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Stability from the Characteristic Equation | |
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Routh Criterion for Stability | |
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Root Locus Analysis | |
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Root Locus Through Matlab | |
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Problems | |
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Controllers: The On-Off Controller | |
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Introduction | |
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Role of a Controller | |
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Types of Controllers | |
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Use of a Percent as Input and Output | |
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Measured Value as a Percentage Value | |
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Set Point as a Percentage Value | |
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Error as a Percentage Value | |
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On-Off Control | |
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Types of On-Off Control | |
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Electronic Implementation (Analog) | |
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Two-Position Control | |
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Neutral Zone | |
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Controller Action | |
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Applications | |
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Electronic Implementation | |
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Multiposition (Floating) Control | |
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Problems | |
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Analog Controller I | |
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Introduction | |
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Proportional Controller (P) | |
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Transfer Characteristic | |
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Proportional Band | |
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Relationship Between Percent Output and Physical Controller Output | |
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Electronic Implementation | |
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Frequency Response of a Proportional Controller | |
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Proportional Control of a Closed Loop | |
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Steady-State Operation with Zero Error | |
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Proportional Controller with Offset | |
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Offset Voltage Adjustment | |
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Integral Controller (I) | |
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Electronic Implementation | |
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Limiting DC Gain | |
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Frequency Response of an Ideal Integral Controller | |
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Frequency Response of a DC Gain-Limited Integral Controller | |
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Derivative Controller (D) | |
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Electronic Implementation | |
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Frequency Response of a Derivative Controller | |
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Limiting High-Frequency Gain | |
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Problems | |
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Analog Controller II | |
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Introduction | |
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Composite Controller Modes | |
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Serial Implementation | |
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Parallel Implementation | |
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PI Controller | |
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Electronic Implementation of a PI Controller | |
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Frequency Response of a PI Controller | |
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PD Controller | |
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Electronic Implementation of a PD Controller | |
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Frequency Response of a PD Controller | |
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PID Controller | |
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Electronic Implementation | |
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Changing the Operating Mode | |
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Frequency Response of a PID Controller | |
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Problems | |
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Digital Controller | |
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Introduction | |
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Digital Controller | |
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Controller Sequence of Operation | |
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Considerations for Digital Control | |
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Digital Two-Position Control | |
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Sequence of Operation | |
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Microcontroller Implementation of a Two-Position Controller | |
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Digital PID Controller | |
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Analog PID Algorithm | |
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Digital PID Algorithm | |
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Zero-Order Hold (ZOH) | |
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Ideal Digital PID Algorithm | |
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Discrete PID Algorithm--BASIC Language | |
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Manual Control Mode | |
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Velocity Algorithm | |
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Improved Derivative Term | |
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Microcontroller Implementation of a PID Controller | |
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DC Motor Control | |
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Control Software Description | |
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Problems | |
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Fuzzy Controller | |
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Introduction | |
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Continuum World | |
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Conventional Logic | |
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Fuzzy Logic and Fuzzy Logic Terminology | |
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Fuzzy Control System | |
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Problem Identification | |
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Conceptual Design | |
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Problems | |
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Controller Tuning and System Design | |
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Introduction | |
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Performance Criteria | |
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Controller Tuning | |
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Controller Tuning: Known Plant Model | |
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Plant Model from Experimental Response Testing | |
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Step Response Test | |
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Graphical Analysis | |
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Computational Method | |
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Frequency Response Test | |
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Experimental Determination of Controller Setting | |
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Continuous Cycling Method | |
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Reaction Curve Method | |
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Case Study: Machine Positional Control System | |
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Drive Mechanism | |
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Position Transducer | |
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Problems | |
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Additional Control Techniques | |
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Introduction | |
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Feedforward Control | |
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Disturbance Signal | |
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Ratio Control | |
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Cascade Control | |
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Autotuning Controller | |
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State-Space Techniques | |
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State Variables | |
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State Equations | |
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Transfer Function to State-Space Representation | |
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Problems | |
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Bibliography | |
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A Matlab | |
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Glossary | |
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Index | |