Control Systems Theory Course

Linear Feedback Control

An undergraduate course covering state models, stability analysis, controllability, observability, and optimal control

👨‍🏫 Instructor Information

Instructor: Kai Cai

Email: [email protected]

Office Hours: Wednesdays after lectures (or by appointments)

Office Location: Sugimoto Campus, Engineering Building F610


🎯 Learning Objectives

  • • Study how to model linear systems using state-space models;
  • • Learn fundamental system properties: stability, controllability, observability;
  • • Design feedback controllers for linear systems.

📅 Duration

October 2025 - January 2026
Wednesdays, 10:45-12:15


🎯 Assessment

Test + Project


📚 Lectures

1. Introduction & State Models

October 1, 2025

2. Linearization

October 8, 2025

3. Introduction to Stability

October 15, 2025

4. Initial Value Problem

October 22, 2025

5. Stability Criteria

October 29, 2025

6. Reachability and Controllability

November 5, 2025

7. State-feedback Control

November 12, 2025

8. Eigenvalue Assignment

November 19, 2025

9. Stabilizability, Observability, Detectability

November 26, 2025

10. Observer and Output-feedback Control

December 3, 2025

Tutorial 1: Codes

December 10, 2025

Tutorial 2: Codes

December 17, 2025

11. Reference Tracking with State Feedback

January 7, 2026

12. Reference Tracking with Output Feedback

January 14, 2026

13. Optimal Control

January 21, 2026

📝

Final Project

January 28, 2026