Dynamic Systems and Control
MIT OpenCourseWare offers this course on systems that evolve over time, focusing on those modeled by linear, time-invariant Ordinary Differential Equations. Students learn to analyze how such systems respond to inputs and initial conditions, and how interconnected systems, particularly feedback loops, behave. The course covers designing controllers that guarantee properties like stability and performance when a control system is coupled to a given dynamic system. Materials include lecture notes, problem sets, and exams from MIT's Electrical Engineering and Computer Science and Aeronautics and Astronautics departments, following the standard OCW format of self-study with no live instruction. The course targets students with a background in differential equations and linear algebra who want a rigorous treatment of feedback control theory, covering topics such as state-space representation, transfer functions, and stability analysis of interconnected systems.