This course covers core topics in both classical and modern control theory. Review of classical control theory using frequency methods. Linearization, existence and uniqueness of trajectories for nonlinear and linear systems. Feedback and stability. Lyapunov stability criteria. Controllability, observability, minimal realizations, feedback stabilization, observer design. Optimal control theory, the linear quadratic regulator, dynamic programming. (Offered jointly with MTHE 430.) Three term-hours; lectures. (3.0 credit units) EXCLUSION: MTHE 430
This course covers core topics in both classical and modern control theory. Review of classical control theory using frequency methods. Linearization, existence and uniqueness of trajectories for nonlinear and linear systems. Feedback and stability. Lyapunov stability criteria. Controllability, observability, minimal realizations, feedback stabilization, observer design. Optimal control theory, the linear quadratic regulator, dynamic programming. (Offered jointly with MTHE 430.) Three term-hours; lectures. (3.0 credit units) EXCLUSION: MTHE 430