# ECE 441A

## Automatic Control

Fall

Required Course:
No

### Course Level

Undergraduate

### Units

3

### Prerequisite(s)

ECE 340

### Course Texts

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 (PDF)*. MacMillan Publishing, 1990. Online.

### Schedule

150 minutes lecture per week

### Course Description

Linear control system representation in time and frequency domains, feedback control system characteristics, performance analysis and stability, and design of control.

### 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

### Course Topics

- 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)

### Relationship to Student Outcomes

ECE 414A contributes directly to the following specific electrical and computer engineering student outcomes of the ECE department:

- Ability to apply knowledge of mathematics, science and engineering (high)
- Ability to design and conduct experiments, as well as to analyze and interpret data (medium)
- 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)
- Ability to function on multidisciplinary teams (medium)
- Ability to identify, formulate and solve engineering problems (medium)
- Ability to use the techniques, skills and modern engineering tools necessary for engineering practice (high)

### Syllabus Prepared By

Greg Ditzler, 03/07/16