This course aims to present robust control analysis and design methods.

Classical control design methods, introduction to robust control. The importance of robust stability. Introduction to affine linear, interval, multilinear and nonlinear parameter uncertainties in control systems. Hermite-Biehler theorem, segment lemma, vertex lemma and Rantzer theorem. Kharitonov, edge and mapping theorems. Nyquist, Nichols, and Bode envelopes of uncertain systems. Controller design techniques for systems with parameter uncertainty. Robust performance. Stability analysis of nonlinear control systems with parameter uncertainty. Lur'e, Popov and Circle criteria. Quantitative Feedback Theory (QFT) and control theory.