ECE 515: Control System Theory & Design
ECE 515: Control System Theory & Design
Course Descriptions:
Feedback control systems emphasizing state space techniques. Basic principles, modeling, analysis, stability, structural properties, optimization, and design to meet specifications.
Announcements:
The current plan is that this course will be taught in person.The situation around Covid-related restrictions on campus can of course change at any moment, and I will keep the class updated of any developments.
Schedule: Mon Wed 11:00am~12:50pm, 2035 Campus Instructional Facility
Prerequisites: MATH 241 or MATH 380; one of MATH 385, MATH 386, MATH 441
Office hours: TBA
Homework TA: TBA
TA Office hours: TBA
Supplementary texts:
Michael Greenberg, Advanced Engineering Mathematics, Prentice-Hall
Assignments and grading policy:
Your grades will be based on homework and exams. Details will be explained in class.
Lectures:
Week 1: Examples of Linear systems. Lecture Note
Week 2: Linear algebra. Linear spaces and transformations. Lecture Note
Week 3: Linear algebra. Eigenvalues and eigenvectors. Lecture Note
Week 4: Variation-of-constants (VOC) solution formula. Lecture Note
Week 5: Properties of fundamental solution matrix and Jordan decomposition. Lecture Note
Week 6: Lyapunov stability. Definitions and Lyapunov’s direct method. Lecture Note
Week 7: Linear algebra. Inner products and norms. Lecture Note
Week 8: Lyapunov theory for linear time invariant systems. Lecture Note
Week 9: Linear algebra. Range and null space. Lecture Note
Week 10: Controllability and observability. Lecture Note
Week 11: Kalman’s controllability and observability decomposition. Lecture Note
Week 11: Realization theory. Lecture Note
Week 12: Control and observer design. Lecture Note
Week 13: Optimal control of linear systems. Lecture Note