AEEM 6015: Modern Control

In the realm of modern control, the study and design of physical systems can begin with empirical methods, where we apply various signals to a system and analyze its responses. This hands-on approach allows us to learn from real-world interactions—adjusting parameters or adding compensators to enhance performance based on what we observe. While this trial-and-error method has led to many successful designs, it heavily relies on past experience and can sometimes be limiting. However, as systems grow increasingly complex or when experimentation becomes too costly or risky, empirical methods can fall short. That’s where analytical methods step in as essential tools for engineers. By studying linear systems, we lay the groundwork for a deeper understanding of various disciplines, including control and signal processing. As we engage with these concepts, remember that analytical methods not only expand our toolkit but also empower us to tackle challenges that empirical approaches alone cannot solve. The study of linear systems allows us to master a field that combines theoretical insights with practical applications, enabling us to design systems that are not only efficient but also safe and reliable.

Course materials are available at UC Canvas.