ECE 441A -- Automatic Control (3 units)
Description: Linear control system representation in time and frequency domains, feedback control system characteristics, performance analysis and stability, and design of control
Grading: Regular grades are awarded for this course: A B C D E
Required: Dorf, R.C. and R.H. Bishop. Modern Control Systems. 12th Ed. Prentice Hall. 2011.
Reference: Doyle, John, Bruce Francis, and Allen Tannenbaum. Feedback Control Theory. MacMillan Publishing. 1990. Online. <www.control.utoronto.ca/people/profs/francis/dft.pdf>
Course Learning Outcomes:
By the end of this course, the student will be able to:
- Model, via differential equations or transfer functions, electrical, mechanical, and electromechanical dynamical systems.
- Linearize a set of nonlinear dynamical equations.
- Create a second-order model from a system's step response.
- Construct all-integrator block diagrams from a transfer function, a set of differential equations, or a state-space representation and vice-versa.
- Compute a state transition matrix from a system matrix.
- Describe in terms of percent overshoot, settling time, steady-state error, rise-time, or peak-time how the poles of a second-order continuous-time system influence the transient response.
- Translate design specifications into allowable dominant pole locations in the s-plane.
- Calculate a system's steady-state error and how the steady-state error can be influenced via system parameter changes.
- Construct and interpret the Routh Array.
- Determine the stability of a closed-loop system.
- Calculate a system's sensitivity with respect to different parameters.
- Sketch the root locus associated with a transfer function.
- Design analog controllers using root locus techniques.
- Design an analog PID controller to meet design specifications.
- Calculate the phase margin and gain margin of a system from its frequency response (Bode plots).
- Design analog controllers using Bode plot techniques.
- Design full-state feedback gains to achieve acceptable closed-loop behavior.
- System Modeling (Chapter 2)
- System Descriptions and Manipulation (Chapters 2 and 3)
- Feedback System Characteristics (Chapter 4)
- System Performance (Chapter 5) and Stability (Chapter 6)
- Root Locus Analysis (Chapter 7) and Controller Design (Chapter 10)
- Bode Plot Analysis (Chapter 8) and Controller Design (Chapter 10)
- PID Controller Design (Chapter 12)
- State Feedback Design (Chapter 11)
Three, 50-minute lectures per week
Relationship to Student Outcomes:
ECE 414A contributes directly to the following specific Electrical and Computer Engineering Student Outcomes of the ECE department:
- an ability to apply knowledge of mathematics, science and engineering (High)
- an ability to design and conduct experiments, as well as to analyze and interpret data (Medium)
- an ability to design a system, component, or process to meet desired needs within realistic constraints such as economic, environmental, social, political, ethical, health and safety, manufacturability and sustainability (Low)
- an ability to function on multi-disciplinary teams (Medium)
- an ability to identify, formulate and solve engineering problems (Medium)
- an ability to use the techniques, skills, and modern engineering tools necessary for engineering practice (High)