Control Systems Analysis and Design

This graduate-level course delves into advanced topics in control systems, moving beyond classical frequency-domain approaches to embrace modern state-space methodologies. Students will gain a deep understanding of system representation, controllability, and observability, crucial for designing sophisticated control solutions. The curriculum covers the design of state observers, full-state feedback controllers, and the application of optimal control techniques such as Linear Quadratic Regulators (LQR). Emphasis is placed on practical considerations, including robustness analysis and the challenges of implementing control systems in real-world industrial settings. The course further extends to digital control, examining the discretization of continuous systems and the unique challenges and opportunities presented by sampled-data systems. A significant portion will be dedicated to advanced PID tuning strategies, specifically tailored for industrial-scale applications, ensuring students can implement and optimize controllers for complex processes. Through a blend of theoretical foundations and practical case studies, students will develop the analytical and design skills necessary to tackle contemporary control engineering problems, preparing them for roles in advanced automation and system integration.

Course outline

Lectures, virtual labs, and graded assignments — completed in your browser.

01Introduction to Modern Control and State-Space Representationlecture

02State-Space Analysis: Solutions, Stability, and Eigenvalueslecture

03Controllability and Observability of Linear Systemslecture

04State Feedback Control Design and Pole Placementlecture

05Observer Design: Full-Order and Reduced-Order Observerslecture

06Combined Observer-Controller Systems and Separation Principlelecture

07Optimal Control Theory and Linear Quadratic Regulator (LQR)lecture

08Introduction to Robust Control and Uncertainty Modelinglecture

09Robustness Margins: Gain and Phase Margins in State-Spacelecture

10Introduction to Digital Control Systems and Z-Transformlecture

11Digital Controller Design and Discretization Methodslecture

12Industrial PID Control: Advanced Tuning Strategieslecture

13Practical Implementation Challenges and Case Studieslecture

14Nonlinear Control Systems and Introduction to Adaptive Controllecture

Syllabus

Week 1: Introduction to Modern Control and State-Space Representation
Week 2: State-Space Analysis: Solutions, Stability, and Eigenvalues
Week 3: Controllability and Observability of Linear Systems
Week 4: State Feedback Control Design and Pole Placement
Week 5: Observer Design: Full-Order and Reduced-Order Observers
Week 6: Combined Observer-Controller Systems and Separation Principle
Week 7: Optimal Control Theory and Linear Quadratic Regulator (LQR)
Week 8: Introduction to Robust Control and Uncertainty Modeling
Week 9: Robustness Margins: Gain and Phase Margins in State-Space
Week 10: Introduction to Digital Control Systems and Z-Transform
Week 11: Digital Controller Design and Discretization Methods
Week 12: Industrial PID Control: Advanced Tuning Strategies
Week 13: Practical Implementation Challenges and Case Studies
Week 14: Nonlinear Control Systems and Introduction to Adaptive Control