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• Airplane Problems - See Theme Problems
• Al Dente's Oven - See Theme Problems
• Bode' Plots
• Introduction to Bode' Plots
• Phase Margin on Bode' Plots
• Case Studies
• First Order System - Motor Control
• Second Order System
• Compensators
• Digital Implementation
• Lag Compensation
• Lead Compensation
• Maximum Phase Lead in a Lead Compensator
• Damping Ratio
• Damping Ratio and Resonant Peaks (Bode' Plots)
• Overshoot vs. Damping Ratio
• Pole position for a damping ratio
• Design (Control System Design)
• Steady State Error
• Digital/Sampled Systems
• Introduction
• Error (Steady State)
• Integral Control
• Step Inputs
• First Order Systems
• Filters
• Filtering Pulse Signals
• Low Pass Filters
• Frequency Response Plots
• Bode Plots
• First Order Systems
• Second Order Systems
• Nyquist Plots
• Gain Margin
• Games
• Help Pages
• Control System Components
• Identification Algorithm (Time Response)
• Relationships in Block Diagrams
• Integral Control
• Introduction
• Digital Implementation
• Properties
• Introduction to Control
• Introduction to Control Systems
• Note on ON-OFF Control
• Note on Block Diagrams
• Note on Proportional Control
• Note on a Digital Control Loop
• The Effect of Feedback on the Time Constant in Proportional Control of a First Order System
• Limit Cycles
• Nonlinear Systems
• Describing Function Analysis
• Phase Plane
• Nyquist Stability Criterion (NSC)
• Applying the NSC
• Calculating Gain for Stability
• Using a Nyquist Plot
• Using a Bode' Plot
• Operational Amplifier Circuits & NSC
• Relative Stability
• Phase Margin
• Gain Margin
• Systems with Poles at the Origin
• Using Bode Plots To Evaluate Stability with the NSC
• db Slope for Stability
• What is it?  Why does it work?
• ON-OFF Control
• Note on ON-OFF Control
• Overshoot
• vs Damping Ratio
• Phase Margin
• Why use Phase Margin?
• What is it?
• How do you calculate it?
• on a Bode' plot
• Bode Plot_SSE_f_m_Rise Time Example
• PID Controllers
• Proportional Control
• Implementing Proportional Control
• Introduction
• Steady State Error
• In Sampled Systems
• Integral Control
• Analysis
• Bode Plot Example
• Computer/Sampled Implementation
• Example Problem
• Introduction
• Root Locus Analysis
• Pole Location
• The Effect of Pole Location on Second Order Response
• Proportional Control
• Implementing Proportional Control
• Introduction
• Proportional Control Lesson
• Steady State Error
• In Sampled Systems
• The Effect of Feedback on the Time Constant in Proportional Control of a First Order System
• Proportional Control Case Study
• First Order Proportional Control System Simulator
• Relative Stability
• Phase Margin
• An Example System
• Gain Margin
• Response Time
• Measures of Response Time
• Rise Time
• vs Time Constant
• Settling Time
• Root Locus
• Root Locus Rules
• Starting & Ending Points
• Real Axis Points
• Asymptotes
• Centroid
• Gain Calculation
• Root Locus Calculators
• Using Root Locus Information to Predict Closed Loop Response
• Sampled Systems
• Second Order Systems
• The Effect of Pole Location on Second Order Response
• Speed of Response
• Closed Loop Systems
• Frequency Domain Relationship
• Pole Position & Speed of Response
• Rise Time
• Relation to Time Constant
• Settling Time
• State Models
• see also Phase Plane
• Steady State Error
• For Unit Step Inputs
• From Bode' Plots
• An Example System
• Study Guides
• %OS vs Damping Ratio
• db Slope for Stability - Take 1
• db Slope for Stability - Take 2
• Bode Plot_SSE_f_m_Rise Time Example
• Nyquist Gain For Stability
• Nyquist Gain For Stability using Bode
• Phase Margin
• Response Time From Open Loop Bode Plot
• (Complete) Root Locus Example
• SSE From Open Loop Bode PLot
• Theme Problems
• Airplanes
• Second Order Model
• Third Order Model
• Third Order Model With Pitch Feedback
• Al Dente's Oven
• Liquid Level System
• First Order Linear Model
• Submarines
• Third Order Model
• Time Constants
• Measurement Methods
• Time Response
• First Order Systems
• Impulse Response
• Step Response
• Time Constants
• Rise Time
• An Example System
• Second Order Systems
• Impulse Response
• Natural Frequency
• Overshoot vs. Damping Ratio
• Step Response
• The Effect of Pole Location on Second Order Step Response
• Tools (Special purpose calculators or simulators that open in separate windows)
• Tools Index
• Transfer Function Models
• Useful Information
• Z Transforms
• Final Value Theorem
• Introduction
• Linearity
• Multiple Pole Signals
• Single Pole Signals