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Four Block Diagrams
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Block and Circuit Diagrams
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The Operational Amplifier (op-amp)
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What the Real and Imaginary Parts of the Poles Do
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Control: Open vs. Closed Loop
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Mechanical System Components
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Mechanical System Components: Rotation
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Rotational Mechanical System
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The Underdamped 2nd Order System
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Motor with Gear Load
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PID Controller
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Negative Feedback
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Transient Response of a Feedback System
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Root Locus Terminology
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Implementing the PI Controller
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State Space Representation as Block Diagram
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Frequency Response in the Laplace Domain
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Frequency Response of a Single Pole TF
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Bode Plot for Underdamped 2nd Order System
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Gain and Phase Margins
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Proportional Control in the Frequency Domain
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Uncompensated System
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Lead-lag Compensation
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Time Delay in Feedback Configuration
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1st Order System: Transient Response Properties
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The General 2nd Order System
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Transients in the Underdamped 2nd Order System
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Linearization
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Linearizing Systems: The Pendulum
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All-pass Filter