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 courseLectures (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 courseCome 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 NumbersOrdered pair of two real numbersOrdered pair of two real numbersConjugateConjugateAdditionAdditionMultiplicationMultiplicationFall 2008 7Complex NumbersComplex NumbersEulerEuler’’s identitys identityPolar formPolar formMagnitudeMagnitudePhasePhaseFall 2008 8LogarithmLogarithmThe logarithm of The logarithm of xxto the base to the base bbis writtenis writtenThe 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 transformOne 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 & ExercisesPrerequisitesPrerequisitesComplex numbers, Logarithm, Laplace transformComplex numbers, Logarithm, Laplace transformDynamicsDynamicsNextNextIntroductionIntroductionExercisesExercisesBuy 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 logarithmlogarithmRead Chapter 1 and Read Chapter 1 and ApendixApendixA, B of the textbook.A, B of the
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