This is a course webpage for Robust Control Systems offered in Sem I, 2024-2025.
Abhilash Patel, apatel[at]iitk.ac.in
Sura Sivareddy (ssura23[at]iitk.ac.in, Manish K Meena (241040042[at]iitk.ac.in)
WF, 9.00AM-10.15AM, at T101
| Lecture | Topics | Suggested Readings |
|---|---|---|
| 1 | Course Mechanics and Motivation | FCH |
| 2 | Introduction to Norms: Vector Norms, Signal Norms | DFT 2.1/SkPo A.5 |
| 3 | System Norms | DFT 2.2/SkPo 4.10 |
| 4 | Framework for Robust Control, Modeling Uncertainties | DFT 4.1/SkPo 7.1-7.4 |
| 5 | Modeling Uncertainties, Linear Fractional Transformation | SkPo 8.1-8.3 |
| 6 | Parametric uncertainties | GPK 2.2 |
| 7 | Revising modeling | all above |
| 8 | Classical Stability Notions, Nyquist/Bode Approach for stability analysis | SkPo 2/See Additional References |
| 9 | Modern Stability Notions, Lyapunov for stability analysis | See Additional References |
| 10 | Robust Stability: Small Gain Theorem | SkPo 7.5 |
| 11 | Robust Stability: Lyapunov based approach | SkPo 7.5 |
| 12-14 | Project Presentations | |
| 15 | Robust Performance, Tradeoff | SkPo 7.6 |
| 16 | Robustness analysis with Contraction theory | See Additional References |
| 17 | Monte-Carlo Simulation, Sensitivity Analysis | See Additional References |
| 18 | Interval analysis | See Additional References |
| 19 | Youla Parameterization | DFT 5.1 -5.4 |