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syllabus

Course Number: MAE 435, Fall 2008

College/University: N.C. State

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NORTH CAROLINA STATE UNIVERSITY Department of Mechanical and Aerospace Engineering MAE 435 Principles of Automatic Control Spring 2009 Schedule: TTh 1:30-2:45 Class: Daniels 327 Dr. Gregory D. Buckner Office Hours: TTh 2:45-4:00, 5:45-6:15 (also by appointment) Office: Broughton 2403 E-mail: gbuckner@eos.ncsu.edu Dr. Gregory D. Buckner Website: www.mae.ncsu.edu/courses/mae435/buckner COURSE DESCRIPTION An...

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CAROLINA NORTH STATE UNIVERSITY Department of Mechanical and Aerospace Engineering MAE 435 Principles of Automatic Control Spring 2009 Schedule: TTh 1:30-2:45 Class: Daniels 327 Dr. Gregory D. Buckner Office Hours: TTh 2:45-4:00, 5:45-6:15 (also by appointment) Office: Broughton 2403 E-mail: gbuckner@eos.ncsu.edu Dr. Gregory D. Buckner Website: www.mae.ncsu.edu/courses/mae435/buckner COURSE DESCRIPTION An introduction to feedback control of linear systems, with emphasis on linear system dynamics, time and frequency response, stability analysis, classical control theory, and design applications. COURSE OBJECTIVE To provide students with practical design skills and tools for the synthesis of engineering control systems. PREREQUISITES MA 341 (Applied Differential Equations I) or equivalent PRIMARY TEXT Franklin, G.F., Powell, J.D., and Emani-Naeini, A., Feedback Control of Dynamic Systems, Fifth Edition, Pearson Prentice-Hall, Upper Saddle River, NJ, 2006. COURSE NOTES Buckner, G.D., Course Notes: MAE 435 Principles of Automatic Control, available via the NCSU Bookstores (anthony_sanders@ncsu.edu, 919-515-3868) GRADING Exams (2) Homework Pop Quizzes Design Project Final Exam 40% 15% 5% 20% 20% (Due at beginning of class, 2 lowest scores dropped, late homework will not be accepted) (First 5 minutes of class, 2 lowest scores dropped) GRADING SCALE (REQUIRED %) A+ 98 A 92 A90 B+ 88 B 82 B80 C+ 78 C 72 C70 D+ 68 D 62 D60 TENTATIVE SCHEDULE Week Jan 8 Jan 13, 15 Topics I. Introduction Feedback systems, terminology II. Dynamic System Models Modeling mechanical systems Modeling electrical, electromechanical systems Equivalent linear system representations: differential equations, state space, transfer functions, block diagrams Linear systems: characteristics, linearization III. Analysis of Linear Systems Laplace Transforms: properties, final value theorem, partial fraction expansion Time response of first-order systems Time response of second-order systems Poles and Zeros: stability, transient response Exam Review Exam #1 IV. Computer Simulation of Dynamic Systems Numerical Integration: Euler's Method Numerical simulation using Matlab/Simulink V. Basic Feedback Control PID control Benefits of feedback, disturbance rejection, sensitivity Routh's stability criterion VI. The Root Locus Technique Rules for sketching Root locus plots with Matlab Design Projects Assigned Compensator design using Root Locus: Pole and Zero Compensation VII. Steady-State tracking errors: System Type Exam Review Exam #2 VIII. Frequency Response Bode plots Bode plots using Relative Matlab Stability: Gain and phase margins IX. Compensator design using Frequency Response Lead, Lag, and Lead-Lag Compensation X. Modern (State-Space) Control State-space analysis, transformations Full-state feedback control: Pole Placement Final Review Course Evaluation Design Projects Due Final Exam: 1:00-4:00 pm, Daniels 327 Reading (1.1-1.3) (2.1) (2.2, 2.3) (7.1, 7.2) (3.2) (9.2) (3.1) (3.3) (3.7.1) Jan 20, 22 Jan 27, 29 Feb 3, 5 Feb 10, 12 Feb 17 Feb 19 Feb 24, 26 Mar 10, 12 (Mar 2-6 spring break) (4.3) (4.1,4.2) (3.7.2) (5.1-5.3) Mar 17, 19 (5.4-5.6) (4.2) Mar 24, 26 Mar 31 Apr 2 Apr 7, 9 Apr 14, 16 Apr 21, 23 (6.1) (6.4) (6.7) (7.4.2, 7.5) April 28 (Tentative) OTHER This course deals extensively with the fundamentals of problem solving... class attendance and attention to homework are highly recommended. Homework is due at the beginning of class. Late homework will not be accepted. Academic dishonesty rules, as outlined in the NCSU Code of Student Conduct, will be strictly enforced. Any suspected act of academic misconduct will be immediately referred to the NCSU Office of Student Conduct. Students are encouraged to work in small groups and use additional reference materials for the solution of homework assignments and design projects. However, copying and submitting the work of other students as your own is a violation of the NCSU Code of Student Conduct, and will be treated as such. Note: copying figures, equations, or text from other sources without properly referencing these sources is plagia...
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