ABSTRACT
This chapter presents the transient response and frequency response analysis of dynamic systems. The command impulse returns the unit-impulse response of the linear, time-invariant model sys created with either transfer function or state-space function, with the assumption of zero initial conditions. The zero-input response is clearly handled by the initial command in MATLAB. Since the input is an impulse, the zero-state response is handled by the impulse command. The MATLAB built-in function initial returns the system response to initial excitations only, while impulse and step return responses to impulse and step functions with assumption of zero initial conditions. These tasks may also be achieved through simulation of the Simulink model of the system. The FRF of a dynamic system may be represented by a pair of plots, one displaying the magnitude versus frequency, the other the phase angle versus frequency.
