| Date | Topics to be covered | 
  
    | 
		September  20 (Week
      1) | INTRODUCTION 
					|  | Motivation |  |  | Definition
          of Robust Control |  |  | Classification
          of
          Robust Control Systems |  |  | Introduction
          to parametric uncertain systems |  | 
  
    | 
		September 
      27 (Week
      2) | MODELING OF PARAMETRIC
      UNCERTAIN SYSTEMS 
					|  | Examples
          for modeling systems with parameter uncertainty |  |  | Introduction
          to the notation and general concepts |  |  | Symbolic
          algebra and parametric uncertain systems |  |  | Generalization
          of several control concepts to parametric uncertain systems
          			 
									|  | Stability |  |  | Controllability
              & Observability
               |  |  ROBUST
      STABILITY ANALYSIS 
							|  | Pole
          Spread and gridding |  ROBUST
      STABILITY ANALYSIS 
					MATHEMATICA TUTORIAL|  | Boundary
          crossing theorem" |  | 
  
    | 
		October 
      	4 (Week
      3) | ROBUST
      STABILITY ANALYSIS 
					|  | Algebraic
          tests
           
						|  | Routh
              table |  |  | Hurwitz
              determinants |  |  | Bialas
              theorem |  |  | 
  
    | 
		October 11  (Week
      4) | FREQUENCY
      RESPONSE of POLYNOMIALS with PARAMETRIC UNCERTAINTIES 
					|  | Mikhailov
          Theorem |  |  | Hermite-Biehler
          Theorem |  |  | Value
          Set Concept |  |  | 
		Zero Exclusion Theorem |  |  | 
		Singular Frequency |  | 
  
    | 
		October 18  (Week
      5) | CLASSIFICATION
      OF PARAMETRIC UNCERTAIN POLYNOMIALS and TEST SETS 
					|  | Classification
          			 
									|  | Interval
              polynomials |  |  | Affine-linear
              polynomials |  |  | Multilinear
              polynomials |  |  | Polynomials
              with polynomial coefficients |  |  |  | Test
          Sets |  |  | Kharitonov
          theorem |  | 
  
    | 
		October 
		25 (Week
      6) | TEST SETS
      (CONT.) 
					|  | The
          concept of concervatism |  |  | Edge
          theorem |  | 
  
    | November
      1 (Week
      7) | TEST SETS
      (CONT.) 
					|  | Test
          sets for multilinear polynomials |  |  | Jacobi
          conditions for uncertain parameters |  | 
  
    | November
      8 (Week
      8) | NO CLASS! | 
  
    | November
      15 (Week
      9) | MIDTERM 
	EXAM | 
  
    | 
		November
      22 
		(Week 10) | TEST SETS
      (CONT.) 
					|  | Mapping
          Theorem |  |  | Test
          sets for polynomials with polynomial uncertainties. |  | 
  
    | 
		November
      29 (Week
      11) | CONSTRUCTION OF VALUE SETS 
					|  | Addition and multiplication of value
          sets |  |  | Tree structured decomposition |  | 
  
    | 
		December 
		6 (Week
      12) | STABILITY
      RADIUS
       
					|  | Tsypkin - Polyak Loci 
									|  | Interval polynomials |  |  | Affine linear polynomials |  |  | Largest hypersphere in the
              parameter space |  |  | 
  
    | 
		December
      13 (Week
      13) | ROBUSTNESS ANALYSIS of
      FEEDBACK SYSTEMS 
					|  | Box Theorem |  |  | Positive interval plants |  |  | Robustness with respect to
          nonlinearities |  | 
  
    | December 
		20 (Week
      14) | STABILIZING
      PID CONTROLLER
      DESIGN
       
					|  | Stabilizing
          P
          Controllers |  |  | Stabilizing
          PI
          Controllers |  |  | Stabilizing
          PID
          Controllers |  | 
  
    | December 
		27 (Week
      15) | FINAL PROJECT PRESENTATIONS |