Understanding Control Systems

Background

• Complex Analysis (pdf)
• Ordinary Differential Equations (pdf)
• Laplace Transform (pdf)
• LTI System (pdf)
• Transfer Function (pdf)

• Solving ODE
• System Poles and Zeros 20150409

Feedback System

• (Block Diagram)
• (Signal Flow Graph)
• (State Equations)

• (System Types)

• simplification
• sfg

State Space Analysis

• (Matrix Background)
• (Transfer Function)
• (Canonical Form)
• Canonical Form (pdf)

Stability Analysis

• (Stability)

• See Routh-Hurwitz Technique
• See All real root case
• See Marginal Stability

Time Domain Analysis

• Time Domain Analysis (pdf)
• Root Locus (pdf)
• System Types (pdf)
• (Standard Forms)
• (Transient Characteristics)

• Second Order Time Domain Response (Choi msu)

Frequency Domain Analysis

• Bode Plot (pdf)
• Nyquist Plot (pdf)

• Drawing Bode Plots - Peet (part 1, part 2, part 3)
• Bode Plot - Boyd

• Drawing Nyquist Plots - Peet (part 1, part 2, part 3)

• Transient response and Frequency Response
• Design via frequency response

Compensator Design

• P Controller
• PI Controller
• PD Controller
• PID Controller
• Lead Compensator
• Lag Compensator (pdf)

Wikipedia Pages

• wikipedia pages on Control Systems (pdf)

Misc

• Stability (pdf)

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