EECS 160B Sampled-Data and Digital Control Systems (2016-2017)

EECS 160B Sampled-Data and Digital Control Systems

(Not required for any major.)
Catalog Data:

EECS 160B Sampled-Data and Digital Control Systems (Credit Units: 3) Sampled-data and digital control systems. Sampling process and theory of digital signals; z-transform and modeling; stability; z-plane, frequency response, state-space techniques of digital control system synthesis. Prerequisite: EECS31; EECS160A, EECS160LA. Electrical Engineering majors have first consideration for enrollment. (Design units: 2)

Required Textbook:
. Edition, , 1969, ISBN-13 978-0133098327.

Recommended Textbook:
None
References:
None
Coordinator:
Keyue M. Smedley
Relationship to Student Outcomes
No student outcomes specified.
Course Learning Outcomes. Students will:

1. Model sampled-data digital control system using z domain transfer functions.

2. Analyze a digital control system in z domain.

3. Do stability analysis in the z domain.

4. Perform root locus design in z domain.

5. Perform frequency domain design.

Prerequisites by Topic

The discrete mathematics of signals and systems, including sampling, difference equations, discrete convolution, z-transforms, and discrete Fourier transforms; the design methods for analog control systems, including root locus, Bode, Nyquist methods for lead networks, lag networks, lead-lag networks, and PID compensators.

Lecture Topics:
  • Digital vs. analog control systems; sampling and quantization; discrete-time approximations, PID controllers. (week 1)
  • Difference equations and discrete-time transfer functions; state-variable descriptions and canonical forms; pulse response and stability; sampled-data systems. (week 2)
  • State-space forms; numerical computation, nonlinear models; dynamic response of a discrete-time system. (week 3)
  • Step response, pulse response and related responses for discrete-time systems. Performance specifications, rise time, settling time, overshoot, damping ratio, natural frequency; frequency response, frequency response functions for discrete-time systems, and use of discrete Fourier transform. (week 4)
  • Sampled-data systems; sample and hold circuits; sampled signal spectrum, aliasing, and choosing a sampling frequency; block diagrams for sampled-data systems, block diagram algebra; intersample ripple. (week 5)
  • Design via discrete equivalents; numerical differentiation and integration, forward, backward and trapezoidal rules; bilinear and prewarping of frequency domain specifications; state space equivalents; zero-pole matching equivalents. Midterm examination. (week 6)
  • Design via transformation techniques; error coefficients for discrete-time systems; discretizing analog designs; direct design by root locus; specifications in the z-plane. (week 7)
  • Discrete-time root locus, design in the z-plane; constant damping and frequency lines; design by pole-zero placement. (week 8)
  • Design in the frequency domain; Bode plots and Nyquist plots; stability; gain and phase margins; sensitivity analysis functions. (week 9)
  • Low frequency gains and error coefficients; compensator designs; direct design by characteristic polynomials. (week 10)
Class Schedule:

Meets for 3 hours of lecture and 1 hour of discussion each week for 10 weeks.

Computer Usage:

Not required; however, MATLAB is available in several open computer laboratories for the students to use.

Laboratory Projects:

None.

Professional Component

Contributes toward the Electrical Engineering Topics Courses and Major Design experience.

Design Content Description
Approach:

Students are taught how to identify a control system design problem; to develop analytical performance specifications from given requirements; to formulate appropriate mathematical models of analog electro-mechanical systems; to develop sampled-data equivalent models from the analog models; and to design digital models of appropriate compensation networks to satisfy the performance specifications.

Lectures: 100%
Laboratory Portion: 0%
Grading Criteria:
  • Weekly Home work assignments: 10%
  • Midterm exam: 40%
  • Final exam: 50%
  • Total: 100%
Estimated ABET Category Content:

Mathematics and Basic Science: 0.0 credit units

Computing: 0.0 credit units

Engineering Topics: 3.0 credit units

Engineering Science: 1.0 credit units

Engineering Design: 2.0 credit units

Prepared:
July 12, 2016
Senate Approved:
April 29, 2013
Approved Effective:
2013 Fall Qtr