THE CATHOLIC UNIVERSITY OF AMERICA ENGR 503 – Control Systems (3 credits – 3 contact hours) Course Description: This course covers concepts related to classical system analysis and control theory, beginning with system modeling and analysis, and concluding with control design. Since most engineering disciplines take this class, we will review electrical, mechanical, and biomedical systems. The goal is to give students the tools to model electrical, mechanical, and biomedical systems, analyze such systems analytically and computationally, and design compensators for feedback control of dynamic systems. Required/Elective/Selected Elective: Required Prerequisites: • either BE 315: Introduction to Biomedical Systems Analysis • or ME 344: System Dynamics • or EE 311: Signals and Systems Textbook: Norman S. Nise, Control Systems Engineering, 6th ed., John Wiley & Sons, 2010 Topics Covered: The material will be presented through theory and examples. Assignments will include both analytical and computer analysis as well as laboratory design and implementation. The course will cover the following topics: (1) Typical physical systems and system modeling (physical laws are the rules and math is the tool to model a system) (Chap. 1-2)  Physical systems: electric and mechanical systems  Mathematical modeling of physical systems (time domain: 1st and 2nd order ODE)  Laplace transform and transfer function (frequency domain) (2) System analysis (analyzing system steady-state and transient responses to any input based on system transfer function)  Dynamic response (Chap. 4)  Stability (Chap. 6)  Steady-state errors (Chap. 7)  Block diagrams (Chap. 5.1-5.3)  Frequency response technique (Chap. 10-11) (3) System control  Feedback and its effect on system transfer function (its poles/zeros)  Root locus techniques (Chap. 8)  Control design via root locus (Chap. 9)  Control design via state-space (Chap. 12) Class Schedule: Introduction (1/2 week); Laplace Transforms (1/2 week); Transfer Functions (1/2 week); Modeling Physical Systems (1 week); Modeling in State Space (1/2 week); Time Response of 1st and 2nd Order Systems (1.5 weeks); Block Diagrams (1/2 week); Stability (1 week); Steady-State Errors (1 week); Root Locus (1.5 weeks); Controller Design (1.5 weeks); Frequency Domain Analysis (1.5 weeks) Contributions to the Professional Component: This course will strengthen the students’ technical background by presenting concepts introduced in previous courses in a unified manner. The students will be exposed to mathematical and numerical techniques that will improve their analytical and computational skills. Relationship of the course to Program Objectives: The course requires students to solve problems not fully discussed in the lectures and hence it fosters independent study and problem solving skills. The

unified approach to the topics of instruction will challenge students’ ability to apply knowledge of mathematics and engineering to analyze and interpret data in a multi-disciplinary environment. Expected Learning Outcomes: Upon completion of the course, students should be able to: • CO-1: model (mathematically) electrical and mechanical systems • CO-2: utilize Laplace transforms and transfer functions for modeling and analyzing systems • CO-3: construct block-diagrams of system flow • CO-4: systematically identify parameters of a model representing a system • CO-5: understand concepts of system response, such as rise-times, overshoot, time constants, and settling time • CO-6: construct and interpret root locus plots • CO-7: fully understand MATLAB and Simulink in analyzing and designing control systems Course Outcome/ABET Outcome Matrix: The Matrix below shows how this course contributes covers the 11 ABET Outcomes.

CO-1 CO-2 CO-3 CO-4 CO-5 CO-6 CO-7

ABET 01 X X X X X X X

ABET 02 X X X X X X X

ABET 03

ABET 04

ABET 05 X X X X X X X

ABET 06

ABET 07

ABET 08

ABET 09

ABET 10

X

ABET 11 X X X X X X X

Outcome Assessment: The course employs the following mechanisms to assess the above learning outcomes: 1. Homework is assigned and graded weekly to assess the level of student understanding of topics covered during the week. Lab reports are collected after each laboratory. The learning outcomes are also exhibited through the results of the several exams given during the semester and the final examination. 2. The instructor frequently asks students if they understand the lectures. 3. The overall assessment of the course is done through the university's Student Course Evaluation process. Process of Improvement: The instructor continuously tries to improve the course as described as follows: 1. The instructor frequently evaluates the student performance on homework and exams, and reviews the suggestions made by students during the semester. Then the instructor takes proper steps (such as different approaches to difficult material) to correct problems. 2. The instructor is available after class for additional discussion. 3. At the end of each semester, the instructor meets with the chairman to discuss improvement plans for the course based on the university's Student Course Evaluation process. Course Supervisors: Dr. Sang Wook Lee, Dr. René Doursat Date of Last Revision: August 26, 2013