ECE171A, Spring 2025 – Linear Control System Theory

Tentative Schedule

Week Date Lecture Reading Materials Assignments
1 Mar 31 L1: Introduction & Course Logistics Ch. 1.1 - Ch. 1.5
Mar 31 D1: Matlab, Matrices, ODE
Apr 02 L2: ODEs and Cruise Control Ch 1.6, Ch 4.1, Ch 6.2
Apr 04 L3: Feedback principles Ch 2.1, Ch 2.3, 2.4, 2.5 Homework 1 [Solution 1]
2 Apr 07 L4: System modeling (I) Ch 3.1, 3.2
Apr 07 D2: 2nd-order ODE and ode45
Apr 9 L5: System modeling (II) Ch 3.3, 3.4, Ch 4.7
Apr 11 L6: Solutions and Phase potraits Ch 5.1 - 5.2 Homework 2 [Solution 2]
3 Apr 14 L7: Equilibriums & Stability Ch 5.3
Apr 14 D3: Eigenvalues & Eigenvectors
Apr 16 L8: Linearization Ch 6.1, Ch 6.4
Apr 18 L9: Review Homework 3 [Solution 3]
4 Apr 21 L10: Input/output system response (I) Ch 6.1, 6.2 Practice 1 [Solutions]
Apr 21 D4: Review, HW1/HW2, Two excercies
Apr 23 L11: Input/output system response (II) Ch 6.3
Apr 25 Midterm I - in class Homework 4 [Solution 4]
5 Apr 28 L12: Transfer function (I) Ch 9.1, 9.2 Midterm 1 [Solutions]
Apr 28 D5: Review on complex numbers
Apr 30 L13: Transfer function (II) Ch 9.2, 9.3, 9.4
May 02 L14: Poles, zeros and Bode plot Ch 9.5, Ch 9.6 Homework 5 [Solution 5]
6 May 05 L15: Bode plot Ch 2.2, Ch 9.6
May 05 D6: Bode plot examples
May 07 L16: Routh-Hurwitz stability and Loop transfer functions Ch 2.2, Ch 10.1
May 09 L17: Nyquist plot and Nyquist criterion Ch 10.2 10.3 Homework 6 [Solution 6]
7 May 12 L18: Stability margins and Root locus Ch 10.3, Ch 12.5
May 12 D7: Nyquist plot examples
May 14 L19: Root locus and PID control Ch 11.1, 11.2
May 16 L20: PID control Ch 11.2, 11.3 Homework 7 [Solution 7]
8 May 19 L21: Review Practice 2 [Solutions]
May 19 D8: Q&A
May 21 Midterm II - in class Midterm II [Solutions]
May 23 L22: Performance specification Ch 12.1, 12.2
9 May 26 Memorial Day observance (no lecture)
May 26 D9: Review on midterms Homework 8 [Solutions]
May 28 L23: Loop shaping Ch 12.3
May 30 L24: Uncertainty and robustness Ch 13.1, 13.2
10 Jun 02 L25: Robust stability and Fundamental limits Ch 14.1
Jun 02 D10: Review on HWs
Jun 04 L26: Fundamental limits Ch 14.1, 14.2
Jun 06 L27: Review
11 Jun 13 Final Exam: 11:30 am - 2:00 pm