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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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N.C. State - MAE - 208

MAE 208-003: Engineering DynamicsPrerequisites: MAE 206, MA 242 Spring 2009 Instructor: Jay F. Tu, Professor Office: 4153 Broughton Class Hours: Tuesdays and Thursdays 11:45- 1:00 PM Office Hours: Tuesdays and Thursdays, 10:00 11:30, plus free walk

N.C. State - MAE - 301

N.C. State - MAE - 301

N.C. State - MAE - 301

N.C. State - MAE - 301

N.C. State - MAE - 301

N.C. State - MAE - 301

N.C. State - MAE - 455

0.05 110.04 0.03 0.02 0.015 0.01"-, (;]c:00.03 0.025.0.008 0.006"IQ~c: -E'o :>Q).0.004ij.ze0.002 0.020.001 0.0008 0.0006 0.0004 0.0002 0.0001Q):oS roQ; a:0.0150.01 0.009 0.008 2Reynolds number, Re = P VD /l0.000

N.C. State - MAE - 455

Inner region of a Turbulent BLStrong Increasing Pressure -Flat Plate Flow -Pipe Flow -Strong Decreasing Pressure -Inner Layer Buffer Layer Viscous SublayerInertial sublayer (Law of the wall region)Velocity Defect Law Outer Layeru w u* ,

N.C. State - MAE - 455

Mechanical & Aerospace Engineering COURSE NAME: Fluid Mechanics STUDENT_ COURSE NUMBER MAE 455 Boundary Layer Theory INSTRUCTOR: Dr. R. T. NagelSUBJECT:Home work set #2--Read Chapter 2 of the text by Schetz. Do the following problems at the e

N.C. State - MAE - 455

Mechanical & Aerospace Engineering COURSE NAME: Fluid Mechanics STUDENT_ COURSE NUMBER MAE 455 Boundary Layer Theory INSTRUCTOR: Dr. R. T. NagelSUBJECT:Home work set #3--Read Chapter 2 of the text by Schetz. Do the following problem at the en

N.C. State - MAE - 455

Mechanical & Aerospace Engineering COURSE NAME: Fluid Mechanics STUDENT_ COURSE NUMBER MAE 455 Boundary Layer Theory INSTRUCTOR: Dr. R. T. NagelSUBJECT:Home work set #4DATE :Fall 2005--Finish reading Chapter 3 & begin reading Chapter 4of th

N.C. State - MAE - 455

Mechanical & Aerospace Engineering COURSE NAME: Fluid Mechanics STUDENT_ COURSE NUMBER MAE 455 Boundary Layer Theory INSTRUCTOR: Dr. R. T. NagelSUBJECT:Home work set #5DATE :Fall 2005--Read Chapter 4 of the text by Schetz.Do the following

N.C. State - MAE - 455

Mechanical & Aerospace Engineering COURSE NAME: Fluid Mechanics STUDENT_ COURSE NUMBER MAE 455 Boundary Layer Theory INSTRUCTOR: Dr. R. T. NagelSUBJECT:Home work set #7DATE :Fall 2005--Consider a wedge with a 90o included angle symmetricall

N.C. State - MAE - 455

Mechanical & Aerospace Engineering COURSE NAME: Fluid Mechanics STUDENT_ COURSE NUMBER MAE 455 Boundary Layer Theory INSTRUCTOR: Dr. R. T. NagelSUBJECT:Home work set #8DATE :Fall 2005--Read Chapter 6 of the text by J. Schetz.Do the follow

N.C. State - MAE - 455

Mechanical & Aerospace Engineering COURSE NAME: Fluid Mechanics STUDENT_ COURSE NUMBER MAE 455 Boundary Layer Theory INSTRUCTOR: Dr. R. T. NagelSUBJECT:Home work set #8DATE :Fall 2005--Finish Reading Chapter 6 of the text by J. Schetz. Add

N.C. State - MAE - 455

Mechanical & Aerospace Engineering COURSE NAME: Fluid Mechanics STUDENT_ COURSE NUMBER MAE 455 Boundary Layer Theory INSTRUCTOR: Dr. R. T. NagelSUBJECT:Home work set #10DATE :Fall 2005--Do the following problems from Chapter 7Problem7-2

Emporia - CS - 561

Description of the DUMPBIN utilityPage 1 of 6Description of the DUMPBIN utilityThis article was previously published under Q177429SUMMARYThe DUMPBIN utility, which is provided with the 32-bit version of Microsoft Visual C+, combines the abil

N.C. State - MAE - 208

HW#1 SolutionsV = 0.5(et-1) V=ds/dt ds = 0.5(et-1)dt S = [0.5(et-t)] After substituting the limits for time, the displacement after t=2s is S=0.5(e2-2-1) Theta=S/5=0.438 rad =25 deg

N.C. State - MAE - 208

HW#2 SOLUTIONS

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HW#4 SOLUTIONS

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HW#5 Solutions

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HW#10 Solutions

N.C. State - MAE - 208

HW#1 SolutionsV = 0.5(et1) V=ds/dt ds = 0.5(et1)dt S = [0.5(ett)] After substituting the limits for time, the displacement after t=2s is S=0.5(e221) Theta=S/5=0.438 rad =25 deg

N.C. State - MAE - 208

HW#2 SOLUTIONS

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HW#3 SOLUTIONS

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HW#5 Solutions

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N.C. State - MAE - 543

N.C. State - MAE - 543

N.C. State - MAE - 543

N.C. State - MAE - 543

N.C. State - MAE - 543

T U T O and I A (continued) Fractography ofMetals R Plastics Lby Ronald J. Parrington, P.E.Fractography of Metals and Plasticsractography is critical to failure analysis of metals and plastics. Fractography of plastics is a relatively new

N.C. State - MAE - 543

N.C. State - MAE - 543

N.C. State - MAE - 543

N.C. State - MAE - 543

N.C. State - MAE - 543

N.C. State - MAE - 543

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N.C. State - MAE - 543

N.C. State - MAE - 543

N.C. State - MAE - 543

N.C. State - MAE - 543

J W Eischen, Fatigue and Fracture Mechanics Short Course Notes, February 2008ASME Short Course Eastern NC Section Fatigue and Fracture MechanicsJ W Eischen, PhD, PE Dept of Mechanical and Aerospace Engineering NC State UniversitySaturday April

N.C. State - MAE - 533

Dynamic Analysis of Duraspan Composite Bridge DeckWesley BallewOutline System Modeling Model Tests Modal Analysis Harmonic Response Analysis Results Conclusions/CommentsSystemSection of Bridge Deck Between Support BeamsDuraspan Bridge

N.C. State - MAE - 533

Liner Stress and Deformation Analysis for LANLPrecision Engineering CenterMAE 743 Mid-Term Project Patrick Morrissey Mechanical Engineering North Carolina State University March 7, 2002Precision Engineering CenterShrink Fits: LS-DYNA vs. Theor

N.C. State - MAE - 543

N.C. State - MAE - 543

N.C. State - MAE - 543

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N.C. State - MAE - 543