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<html><title> ME564 - Homepage - EECS 560, Aero 550 </title><H1>ME 564, EECS 560, Aero 550<br>Linear Systems Theory</H1><H3><A><!WA0><A HREF="http://www.umich.edu/">The University of Michigan</A><br></A><!WA1><a href = http://www.engin.umich.edu/dept/meam/>Department of Mechanical Engineering and Applied Mechanics</a><p></H3>Fall 1996<p><hr><dl><dt>Instructor: <!WA2><A HREF="http://www-personal.engin.umich.edu/~tilbury">Dawn Tilbury</A><dd>3130 G. G. Brown, 936-2129<br>tilbury@umich.edu<br>Office Hours: MW 10:30 - 11:30, Th 11:00 - 12:00<br><b>Note:</b> Thursday office hours have been changed.<P><dt>Lectures:<dd> MWF 9:30 - 10:30, 3150 Dow<P><dt> Recitation:<dd> Thursday, 1:30 - 3:30, 1301 EECS<dd> The TA will work sample homework problems and sometimes cover supplementary material. <p><dt>TA: <dd>Raju Datla, muralid@engin.umich.edu<p><dt> TA Office Hours:<dd> Tuesday, 4-6pm, 2315 G. G. Brown <p><dt>Text: C. T. Chen, <U>Linear System Theory and Design</U>, 1984.<p><dt>Grading:<dd> 25% Homework<dd> 25% Midterm 1 (Tuesday, October 15, 7-9pm, 2211 G. G. Brown)<dd> 25% Midterm 2 (Tuesday, November 19, 7-9pm, 2211 G. G. Brown)<dd> 25% Final<p><dd>Note: The lowest homework score will be dropped.<p><dt>Final exam: <dd>Tuesday, December 17, 1:30 - 3:30pm <p></dl><h3> Handouts: </h3><ul><li>Sept. 13, chapter 3 of Rugh.<li>Sept. 23, pp. 25 - 41, 452 - 459 of Callier and Desoer<li> Oct. 11, Sample Exam 1, <!WA3><a href="http://www.engin.umich.edu/dept/meam/courses/me564/sample_exam.ps">[postscript]</a>, <!WA4><a href="http://www.engin.umich.edu/dept/meam/courses/me564/sample_exam.pdf">[pdf]</a>. <li> Oct. 14, Exam 1 Review topics, <!WA5><a href="http://www.engin.umich.edu/dept/meam/courses/me564/exam1review.ps">[postscript]</a>, <!WA6><a href="http://www.engin.umich.edu/dept/meam/courses/me564/exam1review.pdf">[pdf]</a>. <li> Nov. 11, Gilbert Realizations, from Kailath pp. 349-350, 365-366. See also E. G. Gilbert, "Controllability and Observability in Multivariable Control Systems," SIAM J. Control, vol. 1, pp. 128-151, 1963.</ul><p><h3> Homework Assignments:</h3><ul><li> Homework 1, due Sept. 13, <!WA7><a href="http://www.engin.umich.edu/dept/meam/courses/me564/hw1.ps">[postscript]</a>, <!WA8><a href="http://www.engin.umich.edu/dept/meam/courses/me564/hw1.pdf">[pdf]</a><li> Homework 2, due Sept. 20, <!WA9><a href="http://www.engin.umich.edu/dept/meam/courses/me564/hw2.ps">[postscript]</a>, <!WA10><a href="http://www.engin.umich.edu/dept/meam/courses/me564/hw2.pdf">[pdf]</a>. Use the infinity norm unless otherwise specified.<li> Homework 3, due Sept. 27, <!WA11><a href="http://www.engin.umich.edu/dept/meam/courses/me564/hw3.ps">[postscript]</a>, <!WA12><a href="http://www.engin.umich.edu/dept/meam/courses/me564/hw3.pdf">[pdf]</a>. You should not always expect to get a closed-form solution to an integral. <li> Homework 4, due Oct. 4, <!WA13><a href="http://www.engin.umich.edu/dept/meam/courses/me564/hw4.ps">[postscript]</a>, <!WA14><a href="http://www.engin.umich.edu/dept/meam/courses/me564/hw4.pdf">[pdf]</a>. <li> Homework 5, due Oct. 11, <!WA15><a href="http://www.engin.umich.edu/dept/meam/courses/me564/hw5.ps">[postscript]</a>, <!WA16><a href="http://www.engin.umich.edu/dept/meam/courses/me564/hw5.pdf">[pdf]</a>. <li> Homework 6, due Oct. 25, <!WA17><a href="http://www.engin.umich.edu/dept/meam/courses/me564/hw6.ps">[postscript]</a>, <!WA18><a href="http://www.engin.umich.edu/dept/meam/courses/me564/hw6.pdf">[pdf]</a>. <li> Homework 7, due Nov. 1, <!WA19><a href="http://www.engin.umich.edu/dept/meam/courses/me564/hw7.ps">[postscript]</a>, <!WA20><a href="http://www.engin.umich.edu/dept/meam/courses/me564/hw7.pdf">[pdf]</a>. In problem 1, the geometric multiplicity of an eigenvalue is the number of independent eigenvectors associated with it and is the same as dim N(A - lambda I)<li> Homework 8, due Nov. 8, <!WA21><a href="http://www.engin.umich.edu/dept/meam/courses/me564/hw8.ps">[postscript]</a>, <!WA22><a href="http://www.engin.umich.edu/dept/meam/courses/me564/hw8.pdf">[pdf]</a>. <li> Homework 9, due Nov. 15, <!WA23><a href="http://www.engin.umich.edu/dept/meam/courses/me564/hw9.ps">[postscript]</a>, <!WA24><a href="http://www.engin.umich.edu/dept/meam/courses/me564/hw9.pdf">[pdf]</a>. Note that part (c) of problem 5 has been added from the original handout. In problem 5(a), the state variables should be x1, x2, x3, x4 (not x1, x2, x1, x2). Here is the <!WA25><a href="http://www.engin.umich.edu/dept/meam/courses/me564/hw9.m">m-file</a> for problem 6. <li> Homework 10, due Dec. 6, <!WA26><a href="http://www.engin.umich.edu/dept/meam/courses/me564/hw10.ps">[postscript]</a>, <!WA27><a href="http://www.engin.umich.edu/dept/meam/courses/me564/hw10.pdf">[pdf]</a>. </ul><b>Notes from the grader:</b><ol><li> Please turn in the source code or command file for any computer work.<li> Please write as clearly as you can. <li> Please underline, circle, or highlight your answer.</ol><H3>More Information:</H3><ul><li> <!WA28><a href="http://www.ummu.umich.edu/library/RESERVES/">Homework Solutions</a>, from the Media Union Library. <b>Note:</b> If you dial in remotely, you need to use one of the UM Private modems (213-7970 or 213-3710) to access the homework solutions.<li> M-files for Homework 3, problem 3: <!WA29><a href="http://www.engin.umich.edu/dept/meam/courses/me564/hw3.m">hw3.m</a>, <!WA30><a href="http://www.engin.umich.edu/dept/meam/courses/me564/nonlin.m">nonlin.m</a><li> A <!WA31><a href="http://www.engin.umich.edu/dept/meam/courses/me461/W96/pdfnote.html">note</a> on reading PDF files.</ul><p><i>11/22/96 / dmt</i></html>⌨️ 快捷键说明
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