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ECE 486 Lecture Materials

  
Date TopicLecture MaterialsReading
01/21/2025Introduction to feedback controlFPE Ch. 1, Control - A perspective
01/23/2025LTI system modeling; linearizationFPE Sections 1.1, 1.2, 2.1 - 2.4, 7.2
01/28/2025Dynamic response of LTI systems; Laplace transform reviewFPE Section 3.1, Appendix A
01/30/2025Transfer function; Transient and steady-state response of LTI systemsFPE 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

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

FPE Sections 4.2 - 4.3, Lab manual

Routh's criterion proof

02/18/2025Basic properties & benefits of feedback control 

A FPE Sections 4.2 - 4.3, Lab manual

02/20/2025

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

 

A relatively recent survey

FPE Section 4.2 - 4.3, Section 9.3.1

02/25/2025

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

 FPE Chapter 5
02/27/2025Root Locus continued (rules 4, 5, and 6)FPE Chapter 5
 
03/04/2025  
Root Locus Examples; introduction to lead & lag dynamic compensationFPE Chapter 5
03/11/2025 Lead & lag dynamic compensation; introduction to frequency-response design method; Bode plots for 1st & 2nd order systemsFPE Section 5.1 - 5.4, Section 6.1
03/13/2025Bode Plots for General Systems; Nyquist plotsFPE Section 6.1
03/25.2025 Bode Plots for General Systems; Nonminimum-phase zeros; Stability from frequency responseFPE Section 6.1
 03/27/2025Gain & phase margins; Relations between closed- and open-loop specifications; Control design using frequency responseFPE 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