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ECE 486 Lecture Materials

  
Date  Topic Lecture Materials Reading
01/21/2025 Introduction to feedback control FPE Ch. 1, Control - A perspective
01/23/2025 LTI system modeling; linearization FPE Sections 1.1, 1.2, 2.1 - 2.4, 7.2
01/28/2025 Dynamic response of LTI systems; Laplace transform review FPE Section 3.1, Appendix A
01/30/2025 Transfer function; Transient and steady-state response of LTI systems FPE Section 3.3 - 3.4, Lab manual
02/04/2025

Transient and steady-state response of LTI systems, transfer functions for causal LTI systems described by ODEs, prototype second order systems

FPE Section 3.2, Lab manual
02/06/2025

Transient and steady-state response of LTI systems with non-zero initial conditions, DC gain and the final value theorem; system modeling diagrams; interconnections

FPE Sections 3.2, 3.5 - 3.6
02/11/2025

Time-domain performance specifications; effect of zeros & extra poles

FPE Sections 3.4 - 3.6, Lab manual

02/13/2025 BIBO stability; Routh-Hurwitz stability criterion

FPE Sections 4.2 - 4.3, Lab manual

Routh's criterion proof

  Basic properties & benefits of feedback control  

A FPE Sections 4.2 - 4.3, Lab manual

 

Introduction to Proportional-Integral-Derivative (PID) control; Windup, saturation, etc

 

A relatively recent survey

FPE Section 4.2 - 4.3, Section 9.3.1

 

​Introduction to Root Locus design method (rules 1, 2, and 3)

  FPE Chapter 5
  Root Locus continued (rules 4, 5, and 6); introduction to dynamic compensation   FPE Chapter 5
  Lead & lag dynamic compensation   FPE Chapter 5
  Lead & lag continued; introduction to frequency-response design method   FPE Section 5.1 - 5.4, Section 6.1
  Bode plots for 1st & 2nd order systems   FPE Section 6.1
  Bode Plots for General Systems; Nonminimum-phase zeros;  Stability from frequency response   FPE Section 6.1
  Gain & phase margins; Control design using frequency response   FPE Chapter 6
  Control design using frequency response continued; PD & lead   FPE Chapter 6
  PD & lead continued; PI & lag   FPE Chapter 6; a paper
  PID & lead-lag; encirclement property (argument principle);    FPE Chapter 6
  Nyquist stability criterion; gain & phase margins from Nyquist plots   FPE Chapter 6 
  Introduction to state-space design; controllability; pole-zero cancellations   FPE Chapter 6
  Stability; similarity transformation; controller canonical form   FPE Chapter 7
  Pole placement by full state feedback; reference tracking   FPE Chapter 7
  Observability; observer design for state estimation   FPE Chapter 7
  Dynamic output feedback   FPE Chapter 7
  A Preview of Optimal Control; wrap up and in-class discussion