ELEC 3200 - System Modeling, Analysis and Control

Control Systems Basics

• Control System
• Stabilization (Control)
• Regulation (Control)

State-Space Models

• State-Variable Models
  • Basic State-Space Model Examples
• State-Variable Circuit Model

System Modeling

• Electrical System Modeling
• Mechanical System Modeling
• Electromechanical System Modeling

System Linearization

• Linear Time-invariant Systems
• Superposition Principle
• Linearization

Laplace Transform

• Laplace Transform
• Properties of Laplace Transform

System Analysis

Dynamic Responses

• Impulse Response
• DC Gain
• Final Value Theorem

Transfer Functions

• Transfer Function
• Hidden Poles
• Block Diagram
• System Realization

DISO and SIDO Systems

• DISO System
• SIDO System

Closed-Loop System Modeling

• Feedback System for Stabilization
• Feedback System for Regulation

Stability

• System Stability
  • Stability Analysis Examples
• Stability Criterion
  • Polynomial Stability
• Routh-Hurwitz Criterion
• Robust Stability
• Internal Stability for Feedback Systems
• Unity Feedback Systems
• Controller Design

Feedback Control

• Feedback Control
• Motor Control Case Study
• Bode’s Sensitivity

PID Control

• Proportional Feedback
• Derivative Feedback
• Proportional-Derivative Control
• Proportional-Integral-Derivative Control
• Integral Windup
• Feedback System Type

Second-Order Systems

• Second-Order System
• Transient Response Specifications

Additional/Dominant Poles and Zeros

• Additional Poles and Zeroes
• Low-Order Approximations of High-Order Systems
  • Dominant Poles and Zeros
  • Second-Order System Approximation

Root-Locus Method

• Root Locus Method

Root-Locus Example

• Simple Root Locus Example
• PD Control of Unstable Second-Order Plant
• Advanced Root Locus Example
• Root Locus Design for Double Integrator System