The overarching goal of this course is to give an overview of the analysis and design of nonlinear systems and nonlinear control systems. It covers the stability analysis using Lyapunov, input-output, and asymptotic methods, followed by safety analysis using barrier function theory. The theoretical analysis will be followed by design of stabilizing controllers using a variety of methods selected from closed-form control design, feedback linearization, optimization-based control, and learning-based control. This course covers century-old, but the most useful, Lyapunov theory, as well as the advanced nonlinear control design concepts developed as recently as 2024.
The objective of this course is to teach the fundamentals of aircraft dynamics and control and equip the students with basic tools to analyze the stability properties of an aircraft. In particular, by the end of the course, students should be able to derive the 6DOF equations of motions for an aircraft, find its equilibrium points or trajectories, analyze the stability properties of those equilibria, and design basic control policies to stabilize the aircraft at desired equilibria.