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MSU ME 451 - ME451: Control Systems

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Fall 2008 1ME451: Control SystemsME451: Control SystemsDr. Dr. JongeunJongeunChoiChoiDepartment of Mechanical EngineeringDepartment of Mechanical EngineeringMichigan State University Michigan State University Lecture 0Lecture 0IntroductionIntroductionFall 2008 2InstructorInstructor Class Instructor: Dr. Jongeun Choi, Website: Website: http://www.egr.msu.edu/~jchoi/http://www.egr.msu.edu/~jchoi/ Assistant Professor at ME department,  2459 Engineering Building,  Email: [email protected] Office Hours 2459 EB, MW 2:00-3:00pm, Extra hours by appointment Laboratory Instructor: Dr. C. J. Radcliffe,  2445 Engineering Building Email: [email protected] 2008 3Course informationCourse information Lecture:  When: MWF: 11:30am-12:20pm,  Where: C103 McDonel Hall Class website: http://www.egr.msu.edu/classes/me451/jchoi/2008/ Laboratory website: http://www.egr.msu.edu/classes/me451/radcliff/lab Required Text:  Feedback Control Systems, C. L. Phillips and R. D. Harbor, Prentice Hall, 4th edition, 2000Fall 2008 4Main components of the courseMain components of the courseLectures (about 40 lectures)Lectures (about 40 lectures)Midterm1 (October 3rd, Friday, in class)Midterm1 (October 3rd, Friday, in class)Midterm2 Midterm2 Final (Final exam period)Final (Final exam period)Laboratory workLaboratory work Grading:  Homework (15%), Exam 1 (15%), Exam 2 (15%), Final Exam (comprehensive) (30%), Laboratory work (25%) Homework will be due in one week from the day it is assignedFall 2008 5Tips to pass this courseTips to pass this courseCome to the lectures as many times as you can.Come to the lectures as many times as you can.Print out and bring lecture slides to the lecture.Print out and bring lecture slides to the lecture.Do Do ““ExercisesExercises””given at the end of each lecture.given at the end of each lecture.Do homework every week.Do homework every week.Read the textbook and the slides.Read the textbook and the slides.Make use of instructorMake use of instructor’’s office hours.s office hours.If you want to get a very good gradeIf you want to get a very good grade……Read the textbook thoroughly. Read the textbook thoroughly. Read optional references too.Read optional references too.Do more than given Do more than given ““ExercisesExercises””..Use and be familiar with Use and be familiar with MatlabMatlab..Fall 2008 6Prerequisites: Complex NumbersPrerequisites: Complex NumbersOrdered pair of two real numbersOrdered pair of two real numbersConjugateConjugateAdditionAdditionMultiplicationMultiplicationFall 2008 7Complex NumbersComplex NumbersEulerEuler’’s identitys identityPolar formPolar formMagnitudeMagnitudePhasePhaseFall 2008 8LogarithmLogarithmThe logarithm of The logarithm of xxto the base to the base bbis writtenis writtenThe logarithm of 1000 to the base 10 is 3, i.e.,The logarithm of 1000 to the base 10 is 3, i.e.,Properties:Properties:Why?Fall 2008 9Laplace transformLaplace transformOne of most important math tools in the course!One of most important math tools in the course!Definition: For a function Definition: For a function f(tf(t) () (f(tf(t)=0 for t<0),)=0 for t<0),We denote Laplace transform of We denote Laplace transform of f(tf(t) by ) by F(sF(s).).f(tf(t))tt00F(sF(s))(s: complex variable)Fall 2008 10Summary & ExercisesSummary & ExercisesPrerequisitesPrerequisitesComplex numbers, Logarithm, Laplace transformComplex numbers, Logarithm, Laplace transformDynamicsDynamicsNextNextIntroductionIntroductionExercisesExercisesBuy the course textbook at the Bookstore.Buy the course textbook at the Bookstore.Review todayReview today’’s slides on complex numbers and s slides on complex numbers and logarithmlogarithmRead Chapter 1 and Read Chapter 1 and ApendixApendixA, B of the textbook.A, B of the


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MSU ME 451 - ME451: Control Systems

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