Evaluation of transient system response

FREQUENCY-RESPONSE techniques are among the most powerful tools in the hands of the feedback control systems engineer. Perhaps of greatest use today are the attenuation and phase-angle plot techniques developed by Bode. These techniques are particularly effective in analysis and synthesis of stable systems in establishing the relative stability of a system.1 Although it is possible to estimate the transient response of a system whose open-loop frequency response is known, the accurate prediction of this transient response by analytical means involves obtaining the roots of the characteristic equation for the closed-loop system. Knowing the system's closed-loop factored transfer function, the transient response of the system may then be obtained analytically by means of Laplace transform methods. Thus, if