Feedback Control Systems

(3-0-0-3)

CMPE Degree: This course is Selected Elective for the CMPE degree.

EE Degree: This course is Selected Elective for the EE degree.

Lab Hours: 0 supervised lab hours and 0 unsupervised lab hours.

Technical Interest Groups / Course Categories: Threads / ECE Electives

Course Coordinator: Erik I Verriest

Prerequisites: ECE 2040 [min C]

Catalog Description

Analysis and design of control systems. Laplace transforms, transfer functions, and stability. Feedback systems: tracking and disturbance rejection. Graphical design techniques.

Textbook(s)

Feedback Control of Dynamic Systems

Course Outcomes

Demonstrate thorough knowledge of the concept of system dynamics.

Demonstrate an understanding of the concept of feedback and its application to control systems. 

Analyze signals commonly arising in control applications and derive their Laplace transforms.

Apply the concepts of system response (including transients and steady-state) and of system stability. 

Apply the principles of feedback control in a broad context of engineering systems. 

Design control systems for steady-state tracking of reference inputs, disturbance rejection, and sensitivity reduction. 

Apply graphical design techniques (root locus plots, Bode plots, Nyquist plots) to control systems analysis and design.

Strategic Performance Indicators (SPIs)

N/A

Topic List

  1. Signal Operations - System Properties
    1. Elementary Operations on Signals
    2. Systems as Operators
    3. Time Invariance, Linearity, Causality, Memorylessness, Finite-Dimensionality
  2. Linear Time Invariant Ordinary Differential Equations
    1. Differential Operators
    2. Homogenous equations
    3. Driven Equations and Convolution Representation
  3. Laplace Transform
    1. Definition and Relation to Fourier Transform
    2. Properties and Inverse Laplace Transform
    3. Transient Response
  4. Transfer Function and Stability
    1. Transfer Function Representation of Systems
    2. Frequency Response and Bode Plots
    3. Stability and Routh-Hurwitz Criterion
  5. Connection Algebra
    1. Interconnections: Series, Parallel and Feedback
    2. Systems Modeling from Physical Principles
    3. Similarity and Analog Simulation
  6. Feedback Control
    1. Modal Control and Stabilization
    2. Tracking and Steady State Error
    3. Sensitivity Reduction
    4. Disturbance Rejection
  7. Root Locus Method
    1. Complex Maps and Parameterized Representations
    2. Analysis of Closed Loop Pole Locations
    3. Root Locus Meta-rules
    4. Application to Control System Design
  8. Nyquist Plot and Criterion
    1. Notions from Analytic Function Theory
    2. Principle of the Argument
    3. Nyquist Criterion
    4. Rouche's Theorem and Compensator Design
  9. Topics to be selected from (time permitting)
    1. Systems with Delays
    2. Discrete-time Systems and Discretization
    3. Identification from Input-output Data