Nonlinear geometric control and observer design methods for multi-input nonlinear systems. Differential geometric tools including manifolds, Lie derivatives, Lie brackets, distributions, and the Frobenius Theorem. Conditions for local and global exact and partial state feedback linearization. Output tracking design using input-output state feedback linearization. Local and global nonlinear observer design using exact error linearization. Output feedback control including output feedback linearization and output feedback stabilization based on normal forms. Design methods learnt in this course are implemented on a real physical system.
Introduction to analytical solutions of partial differential equations, eigenfunctions and eigenvalue problems, special functions in cylindrical and spherical coordinates, Green's functions, and transform methods. These concepts provide the necessary mathematical foundation for understanding and analyzing important physical phenomena encountered at the micro and nanoscales. Examples drawn from electromagnetics, quantum mechanics, solidstate physics, photonics, thermal transport, and microelectromechanical systems. Prerequisites: ECE 240 or E E 238, and MATH 309 or 311. Credit may be obtained in only one of ECE 341 or E E 323.