State Space Control: Discrete Systems

This lecture covers the transition from continuous to discrete systems in control theory, discussing the challenges and advantages of implementing controllers in digital form. The instructor explains the process of discretizing models, approximating derivatives, and the impact of sampling frequency on system performance. The lecture also delves into the concept of digital control, emphasizing the importance of accurate sampling and the trade-offs between resolution and cost in digital implementation. The instructor highlights the differences between continuous and discrete systems, the considerations for maintaining information integrity during sampling, and the implications of discretization on system behavior.