Robust Control (Jul. - Dec., 2019)

Time and Venue

Tuesday 4:00 PM - 05:30 PM

Friday 3:30 PM - 05:00 PM.

Venue: LH 620 (lecture hall complex)

Mathematical Preliminaries
- Norms: vector, matrix, signals and systems (Lecture 1, Lecture 2-3, Lecture 4)
- Linear systems: controllability and stabilizability, observability and detectability, poles and zeros of transfer function matrix (Lecture 5, Lecture 6, Lecture 7)

Feedback interconnection & stability
- Well-posedness; Internal stability (Lecture 8, Lecture 9)
- Coprime factorization and stabilizing controllers (Lecture 10, Lecture 11)

Uncertainty and robustness
- Uncertainty representations; Uncertain polynomials; Boundary crossing theorem; Kharitonov's result (Lecture 12, Lecture 13)
- Stability of polytope of polynomials; Edge thorem (Lecture 14)
- System norms, Sensitivity and complementary sensitivity (Lecture 15)
- Structured and Unstructured uncertainty; Linear fractional transformation (LFT); Robust stability (Lecture 16, Lecture 17)

H-2 and H-{infty} control
- LMI and Algebraic Riccati Equation (Lecture 18)
- H-2 and H-{infty} control problems and solutions (Lecture 19, Lecture 20, Lecture 21)

K. Zhou, J. C. Doyle and K. Glover, “Robust and Optimal Control”, Prentice-Hall, Englewood Cliffs, NJ, 1995.
G. E. Dullerud and F. G. Paganini, “A course in Robust Control: a convex approach”, Springer, 2005.
J. Ackermann, ‘‘Robust control: the parameter space approach". Springer, 2012.
S. P. Bhattacharyya, H. Chapellat, and L.H. Keel. “Robust Control: The Parametric Approach”. Upper Saddle River: Prentice-Hall PTR, 1995.
S. Boyd, L. El Ghaoui, E. Feron, and V. Balakrishnan. “Linear Matrix Inequalities in System and Control Theory”. SIAM studies in Applied Mathematics, Philadelphia, Pennsylvania, 1994.