Second Order Systems: Response Analysis

This lecture covers second-order systems, focusing on the response analysis of these systems. It explains the characteristics of second-order systems, such as damping ratio and natural frequency, and how they affect the system's response. The lecture discusses the response of second-order systems to different inputs, including unit step inputs. It also delves into the different cases based on the damping ratio, namely overdamped, critically damped, and underdamped systems. The lecture further explores the pole-zero diagram visualization and the significance of pole locations in determining system behavior. Additionally, it examines the characterization of second-order systems, including peak time, percent overshoot, and settling time, with constraints and examples provided.