Catalog Description: (3 cr II) Lec 2, lab 2. Prereq: ME 350.
Applications of control system analysis and synthesis for mechanical engineering equipment. Studies of control systems for pneumatic, hydraulic, kinematic, electromechanical and thermal systems.

Professional Component: 1.0 cr Engineering Science, 2.0 cr Engineering Design

Textbook: Driels, Morris, Linear Control System Engineering, McGraw-Hill, 1996.

References:
Close, Charles M., and Dean K. Frederick, Modeling and Analysis of Dynamic Systems, Houghton Mifflin, second edition, 1993.
Strum, Robert D., and John R. Ward, LaPlace Transform Solution of Differential Equations, Prentice-Hall, 1968.

Objectives:
1. To give the student an introduction to modeling of feedback dynamic control systems by transfer function methods. Particular emphasis is placed on the effects of system pole and zero locations in the s-plane.
2. To develop an understanding of the use of LaPlace transforms to solve systems of differential equations.
3. To learn the use of root-locus analysis in s-domain system design.
4. To develop the students knowledge of the use of the Nyquist Criterion, including stability, phase margin and gain margin. To develop the use of the Nyquist criterion as a tool in the synthesis of lead, lag, and lead-lag compensators, and in the synthesis of PID controllers.
5. To provide the student "hands-on" lab experience in the dynamic response of system elements.

Topics:
1. Solution of ordinary, differential equations using Laplace transform methods in MapleV. Plotting of solutions.
2. Introduction of continuous-time system specifications and design: settling time, percent overshoot, time-to-peak, and how these specifications relate to s-domain pole and zero locations for second-order and third-order systems.
3. Root-locus techniques in optimizing the selection of the value of a design parameter.
4. Nyquist analysis of feedback systems and determination of gain margin and phase margin. Development of Nyquist diagrams by FORTRAN programming.
5. Application of Nyquist analysis to the design of lead, lag, and lead-lag compensators. Use of Nyquist analysis to design PID controllers.
6. Design project: synthesis of a controller for a mechanically related system.

Evaluation:
3 Exams
Design report
Graded homework

Grading:
 

First Hour Exam	20%
Second Hour Exam	20%
Final Exam	20%
Graded Homework	6%
Design Report	34%

Demonstration of Program Outcomes:

(1 => none, 2 => slight, 3 => some, 4 => considerable, 5 => extensive)
 

XXXXX	a). ability to apply knowledge of math, engineering, and science
XXX	b). ability of design and conduct experiments, ability to analyze and interpet data
XXXX	c). ability to design system, component or process to meet needs
X	d). ability to function on multi-disciplinary teams
XXXX	e). ability to identify, formulate, and solve engineering problems
X	f). understanding of professional and ethical responsibility
XXXX	g). ability to communicate effectively
X	h). broad education
XXX	i). recognition of need an ability to engage in life-long learning
X	j). knowledge of contemporary issues
XXXX	k). ability to use techniques, skills, and tools in engineering practice

Prepared By:
George Schade
Associate Professor, Mechanical Engineering

February 1999