This course provides the student with an introduction to the theories and methods for analysis and design of control systems. The students learn mathematical modeling, state-space representation, application of Laplace transform, transfer functions, block diagrams, open-loop and closed-loop control system, root-locus and feedback control design, and the design of PID controllers.  

Introduction to nonlinear systems and optimal control theory and its mathematical foundations. Includes equilibrium finding, phase plane analysis, Lyapunov stability theorems, LasSalle’s Invariance Principle, feedback linearization, sliding mode control, Pontryagin’s maximum principle, necessary conditions and sufficient conditions for optimality, and optimal control problems in mechanical and aerospace engineering.