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mathematical models for linear time invariant electrical, mechanical and electromechanical systems, and relating the out

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SYSTEMS AND CONTROL - ELEC. 304 (1) 2011 SPRING

Class Meeting Location ENG B30 Class Meeting Times MN B5,WE B5 Instructor Office Hours Office Location Office Phone Email Web Address

ALPER ERDOĞAN Thursday 10:00-11:00 ENG 221

Number of Credits ETC Credit Prerequisites Language

3 6 ELEC. 201 English

[email protected] http://aspc.ku.edu.tr

Assistant N/A

Course Description Dynamic modeling using state space descriptions and transfer functions. Dynamic response analysis. Feedback control theory.

Course Objectives There are two main goals of this course. The first goal is to provide basic linear systems background with emphasis on deriving mathematical models for linear time invariant electrical, mechanical and electromechanical systems, and relating the output behavior to these models. The second goal is to form basics feedback control theory background in a level to design classical PID based control systems.

Learning Outcomes The major outcomes of this course can be listed as 1) Ability to obtain transfer functions for electrical circuits, translational/rotational mechanical systems and electromechanical systems. 2) Understand the relationship between transient and steady-state time response behavior in connection with the transfer function description. 3) Understand the link between the transfer function pole locations and the speed and the overshoot behavior of the transient response. 4) Understand the link between steady state response and the order of open loop transfer function poles. 5) Learn State Space Modelling for general systems with emphasis on linear time-invariant systems. 6) Understand how the time response of linear time-invariant systems are linked to state space parameters. 7) Connection between transfer function and state-space models 8) Understand the stability concept and its link to the transfer function pole locations and state space parameters. 9) Learn root locus methods to portray the pole behavior of systems as a function of loop gain. 10) Learn basic goals of control systems in terms of transient/steady state time response behavior. 11) Understand the feedback control strategy as the main design method. 12) Ability to design basic control systems to achieve transient/steady state time response related performance goals.

Teaching Methods The course duration is 14 weeks. Each week, there will be two 75 minute lectures (on Tuesday and on Thursday) and one problem session on Friday. The lectures will cover the course material as listed in syllabus, where the instructor will mainly use the board to deliver his lecture notes. However, especially for the graphically intense parts of the lectures, the instructor will use the projector based presentation, whose slides will be shared through the class website. The students will be assigned regular homeworks and they are expected to turn in their solutions before the deadline stated on the homework. The problem sessions will contain homework oriented quizzes, example exercises and material supplementing lectures.

There will be one midterm and one final exam.

Course Contents Session Starting Date Topics Number 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 1 2 4 1 1 2 1

14/02/2011 16/02/2011 21/02/2011 23/02/2011 28/02/2011 02/03/2011 07/03/2011 09/03/2011 14/03/2011 16/03/2011 21/03/2011 23/03/2011 28/03/2011 30/03/2011 04/04/2011 11/04/2011 18/04/2011 20/04/2011 27/04/2011 11/05/2011 16/05/2011 18/05/2011 25/05/2011

Motivation and Introduction to Systems and Control Linear Systems and Transforms Review Electric Network Transfer Functions Translational Mechanical System Transfer Functions Rotational Mechanical System Transfer Functions Electromechanical System Transfer Functions Electrical Analogs of Mechanical Systems Case Study: Antenna Angle Control State Space Descriptions: Basics State Space Descriptions: Relation to Transfer Function and Examples Time Response: First and Second Order Systems Time Response: Underdamped Systems Time Response: Effect of Zeros, and Higher Order Systems Time Response: Time Domain Solution for State Space Equations Reduction of Multiple Subsystems Spring Break Stability Routh-Hurwitz Method Internal Stability Steady State Errors Root Locus Technique Design via Root Locus Control Design Case Study Bode Plots Nyquist Stability Criterion Review and Beyond ELEC 304 Course

Assessment Methods Type

Description

Final Grade, %

Midterm Test Final Exam Homework

Mid-Semester Exam End-Semester Exam Homeworks and Quizzes (during problem sessions)

35 50 15 100

Total

Workload Breakdown Type

Description

Hours

Lecture Assignment Exam Exam Other Other Other

Regular Lectures Homework Solution Preparation Midterm Exam Preparation and Midterm Exam Final Exam Preparation and Final Exam Pre-Lecture Preperation Weekly Problem Session Attendance Lecture Review

35 30 18 20 29 13 40 185

Total

Sources Recommended Readings Automatic Control Systems, Benjamin Kuo Linear Algebra and Its Applications, by Gilbert Strang Modern Control Systems, by Dorf&Bishop

Required TextBooks Control Systems Engineering, by Norman Nise

Other N/A

Academic Dishonesty Students are expected to observe the university's "Honor Code".

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