{"id":620,"date":"2017-02-19T23:14:52","date_gmt":"2017-02-19T20:14:52","guid":{"rendered":"http:\/\/soylemez.com\/kom501e\/"},"modified":"2017-09-11T10:03:46","modified_gmt":"2017-09-11T07:03:46","slug":"kom501e","status":"publish","type":"page","link":"http:\/\/soylemez.com\/en\/kom501e\/","title":{"rendered":"KOM 501E – Control of Systems with Parameter Uncertainties"},"content":{"rendered":"

About the Course<\/h2>\n\n\n\n\n\n\n\n\n\n\n
Course Code:<\/strong><\/td>\nKOM 501E<\/td>\n<\/tr>\n
Term:<\/strong><\/td>\n2025 Fall<\/td>\n<\/tr>\n
Lecturer:<\/strong><\/td>\nProf. Dr. M. Turan S\u00f6ylemez
\nControl and Automation Eng. Dept.
\nRoom Num: 4207, Tel: 212 - 285 35 70<\/td>\n<\/tr>\n
Course Place - Hours:<\/strong><\/td>\nD5101 - Monday (09:30 - 12:29)<\/td>\n<\/tr>\n
Course Books:<\/strong><\/td>\n1) \"Robust Control: Systems with Uncertain Physical Parameters\", J Ackermann, 1993, Springer-Verlag.
\n \"Robust Control: The Parameter Space Approach\", 2nd ed, J Ackermann, 2002, Springer-Verlag, ISBN:1-85233-514-9.
\n2) \"New Tools for Robustness of Linear Systems\", B R Barmish, 1994, Macmillan
\n3) \"Robust Control: The Parametric Approach\", S P Bhattacharyya, H Chapellat and L H Keel, 1995, Prentice-Hall
\n4) \"Linear Control Theory: Structure, Robustness and Optimization\", 2009, S. P. Bhattacharyya, A Datta, L H Keel, CRC Press, ISBN: 978-0-8493-4063-5
\n5) \"Pole Assignment for Uncertain Systems\", M. T. S\u00f6ylemez, 1999, RSP Press
\n6) \"Robust Control of Uncertain Dynamic Systems\", R K Yedavalli, 2014, Springer
\n7) \"Systems with Parametric Uncertainty: An Algebraic Approach to Robust Control Design\", Radek Matusu, 2010, Lambert Academic Publishing<\/td>\n<\/tr>\n
Grading Policy:<\/strong><\/td>\n24% Midterm Exam
\n21% Homework
\n20% Final Project
\n35% Final Exam<\/td>\n<\/tr>\n
Final Exam Enterance Condition:<\/strong><\/td>\nWeighted average of the first two Homework Assignments and the midterm exam must be at least 25.<\/td>\n<\/tr>\n
Home Page:<\/strong><\/td>\nhttp:\/\/web.itu.edu.tr\/soylemezm\/kom501e<\/A><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

<\/p>\n

Course Syllabus<\/h2>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
Date<\/th>\nTopics to be covered<\/th>\n<\/tr>\n<\/thead>\n
September 29
\n(Week 1)<\/td>\n		NO CLASS DUE TO ITU OPENING CEREMONY<\/td>\n<\/tr>\n
October 6
\n(Week 2)<\/td>\n		INTRODUCTION<\/p>\n
  • Motivation\n
  • Definition of Robust Control\n
  • Classification of Robust Control Systems\n
  • Introduction to parametric uncertain systems<\/td>\n<\/tr>\n
    • October 13
    \n(Week 3)<\/td>\n    		MODELING OF PARAMETRIC UNCERTAIN SYSTEMS<\/p>\n
  • \tExamples for modeling systems with parameter uncertainty\n
  • \tIntroduction to the notation and general concepts\n
  • \tSymbolic algebra and parametric uncertain systems\n
  • \tGeneralization of several control concepts to parametric uncertain systems\n
      \n
    • \tStability\n
    • \tControllability & Observability<\/ul>\n<\/td>\n<\/tr>\n
    • October 20
    \n(Week 4)<\/td>\n    		ROBUST STABILITY ANALYSIS<\/p>\n
  • Pole Spread and gridding\n
  • Boundary crossing theorem\n
  • \tAlgebraic tests\n
  • \tRouth table
    \nMATHEMATICA TUTORIAL<\/td>\n<\/tr>\n
    • October 27
    \n(Week 5)<\/td>\n    		ROBUST STABILITY ANALYSIS<\/p>\n
  • \tHurwitz determinants\n
  • \tBialas theorem<\/td>\n<\/tr>\n
    • November 3
    \n(Week 6)<\/td>\n    		FREQUENCY RESPONSE of POLYNOMIALS with PARAMETRIC UNCERTAINTIES<\/p>\n
  • \tMikhailov Theorem\n
  • \tHermite-Biehler Theorem\n
  • \tValue Set Concept\n
  • \tZero Exclusion Theorem\n
  • \tSingular Frequency<\/td>\n<\/tr>\n
    • November 10
    \n(Week 7)<\/td>\n    		CLASSIFICATION OF PARAMETRIC UNCERTAIN POLYNOMIALS and TEST SETS<\/p>\n
  • \tClassification\n
  • \tInterval polynomials\n
  • \tAffine-linear polynomials\n
  • \tMultilinear polynomials\n
  • \tPolynomials with polynomial coefficients\n
  • \tTest Sets\n
  • \tKharitonov theorem<\/td>\n<\/tr>\n
    • November 17
    \n(Week 8)<\/td>\n    		TEST SETS (CONT.)<\/p>\n
  • The concept of conservatism\n
  • Edge theorem<\/td>\n<\/tr>\n
    • November 24
    \n(Week 9)<\/td>\n    		MIDTERM EXAM<\/td>\n<\/tr>\n
    December 1
    \n(Week 10)<\/td>\n    		TEST SETS (CONT.)<\/p>\n
  • \tTest sets for multilinear polynomials\n
  • \tJacobi conditions for uncertain parameters\n
  • \tMapping Theorem\n
  • \tTest sets for polynomials with polynomial uncertainties.<\/td>\n<\/tr>\n
    • December 8
    \n(Week 11)<\/td>\n    		CONSTRUCTION OF VALUE SETS<\/p>\n
  • \tAddition and multiplication of value sets\n
  • \tTree structured decomposition<\/td>\n<\/tr>\n
    • December 15
    \n(Week 12)<\/td>\n    		STABILITY RADIUS<\/p>\n
  • \tTsypkin - Polyak Loci\n
  • \tInterval polynomials\n
  • \tAffine linear polynomials\n
  • \tLargest hypersphere in the parameter space<\/td>\n<\/tr>\n
    • December 22
    \n(Week 13)<\/td>\n    		ROBUSTNESS ANALYSIS of FEEDBACK SYSTEMS <\/p>\n
  • \tBox Theorem\n
  • \tPositive interval plants\n
  • \tRobustness with respect to nonlinearities<\/td>\n<\/tr>\n
    • December 29
    \n(Week 14)<\/td>\n    		STABILIZING PID CONTROLLER DESIGN <\/p>\n
  • \tStabilizing P Controllers\n
  • \tStabilizing PI Controllers\n
  • \tStabilizing PID Controllers<\/td>\n<\/tr>\n
    • January 5
    \n(Week 15)<\/td>\n    		FINAL PROJECT PRESENTATIONS<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

    <\/p>\n","protected":false},"excerpt":{"rendered":"

    About the Course Course Syllabus<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-620","page","type-page","status-publish","hentry"],"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"http:\/\/soylemez.com\/en\/wp-json\/wp\/v2\/pages\/620","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/soylemez.com\/en\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"http:\/\/soylemez.com\/en\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"http:\/\/soylemez.com\/en\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/soylemez.com\/en\/wp-json\/wp\/v2\/comments?post=620"}],"version-history":[{"count":2,"href":"http:\/\/soylemez.com\/en\/wp-json\/wp\/v2\/pages\/620\/revisions"}],"predecessor-version":[{"id":781,"href":"http:\/\/soylemez.com\/en\/wp-json\/wp\/v2\/pages\/620\/revisions\/781"}],"wp:attachment":[{"href":"http:\/\/soylemez.com\/en\/wp-json\/wp\/v2\/media?parent=620"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}