Syllabus

Vector and matrix Norms, Signal and System Norms, Singular Value Decomposition, Coprime factorization, LMIs, System representation, Sensitivity and Complementary sensitivity functions, pole and zero directions, performance imitations, well posedness, internal stability of feedback system, Nyquist plot, small gain theorem, Uncertainty representation (structured/parametric and unstructured), robust stability and robust performance, structured singular values, Kharitonov’s theorem, linear fractional transformation, stabilizing controllers, H- infinity controllers, μ synthesis, applications of robust control in physical systems, Loop shaping design procedures.