Automatic Control Systems and Theoretical Foundation

Course Title: Automatic Control Systems and Theoretical Foundation

Course Attribute: Specialized Elective Course

Hours/credits: 40 hours/2 credits

Pre-courses: Differential Equations, Elementary Matrix Theory and Algebra, Electrical and Electronic Technology and Principle

Purpose and Requirements:

Control is enabling technology. Most modern devices from the computers and Internet to space systems and power plants would not operate without efficient automatic control. The goal of this course is to provide students’ knowledge and skills necessary to become a control system designer in the automotive, thermal, mechanical and other manufacturing industries as well as in the areas of power systems, communication networks, and computer software/hardware.

Course summary:

Chapter 1. Introduction: Basic components and specifications of a control system; open-loop and closed-loop control systems; feedback systems; types of control systems; brief history of automatic control.

Chapter 2. Mathematical models of a control system: Differential equations of dynamic systems; transfer functions; block diagrams and signal flow graph manipulations.

Chapter 3. Modellings of dynamic systems: Mechanical, simple electrical, active electrical elements, thermal, fluid, sensors and encoders, DC motors; linearization of nonlinear systems using Taylor series and state space approach.

Chapter 4. Analysis of control systems in the time domain: Typical test signals and time-domain specifications; transient response characteristics of first-order and second-order systems; stability of control systems; Routh-Hurwitz criterion; steady state error; relation between pole/zero configuration and transient response.

Chapter 5. Root-locus technique: Rules for root-locus sketching; root contours and applications.

Chapter 6. Analysis of control systems in the frequency domain: Characteristics of stationary response in the frequency domain; stability analysis in the frequency domain (Nyquist stability criterion, bode plot).

Chapter 7. Discrete control systems: Basic concepts and specifications; pulse transfer function; stability analysis of discrete control system; time response; compensation of a discrete control system.

Chapter 8. Design of control systems: Design specifications; design of PI, PD, and PID controllers; design of lead, lag, and lead-lag compensators; forward and feedforward controllers; design of robust control systems.

Chapter 9. State variable analysis: Mathematical models of multivariable control systems; state-transition matrix; characteristic equations, eigenvalues and eigenvectors; relationship among controllability, observability and transfer functions; state-feedback control; pole-placement design through state feedback.

Chapter 10. Perspectives of automatic control systems.

Course Text:

Qi Wu, Shifu Wang, etc. Automatic Control Systems (Second Edition). Tsinghua University Press, 2006.

Farid Golnaraghi, Benjamin C. Kuo, Automatic Control Systems (Ninth Edition). Hoboken, NJ : Wiley, c2010

Assessment methods: Grading Policy:

The interim and final course grades will be based on the following approximate grade weightsand breakdowns. Assignments 30%   Midterm Exam (Take-Home) 20% Project Report and Presentation 50%

Grade Assignment:

A

85% to 100%

C+

67% to 69.9%

A-

80% to 84.9%

C

63% to 66.9%

B+

77% to 79.9%

C-

60% to 62.9%

B

73% to 76.9%

D

55% to 59.9%

B-

70% to 72.9%

F

0% to 54.9%

Policies and Procedures

i) Assignments must be submitted individually (online), however students are encouraged to work together to solve problems.

ii) Assignments are due before lecture on the day that they are due as per the schedule. The work is due on time. No late work will be accepted (must be submitted before 5:00 pm as per the schedule). Late work will be assigned a grade of zero.

iii) The class midterm is a take-home examination. Each student must complete the examination individually, and not collaborate with others.

iv) Content is most important, however grammar, spelling, and so forth, are also considered.

Collaboration Policy

Assignments may be collaborative, however must be submitted individually.

The midterm examination and project are to be done individually.

Instructor Name:     Luning Xu, Ph.D. Associate Professor

Office: IEE-CAS building 2-307

Phone:   8610-82547175

Email:   xuluning@mail.iee.ac.cn