Introduction: System Analysis
Once appropriate mathematical models of a system have been obtained, either in differential equation or transfer function form, we may then analyze these models to predict how the system will respond in both the time and frequency domains. In this example, the live script demonstrates how a system’s time response is determined based on its natural dynamics and the forcing input. The live script also introduces the concept of frequency response by demonstrating how a system’s steady-state output changes for sinusoidal inputs of different frequencies. Finally, the live script illustrates how a second-order system’s damping ratio affects its Bode magnitude and phase plots.