Time Response Step Response 1.6 . Given the dy 1.4 domain resp Transient-state 12Transient-response solved by co are known. Solving the r意 0.8 Steady state. o response or output analytically g 0.6 0.4 Commonly u 0.2 solutions incl sinusoidal sig 10 15 20 25 30 Time (sec) Input signals Control System Time Response Time DomainTime Response • Given the dynamic model (TF or SS), the time domain response under arbitrary inputs can be solved by computers, if proper initial conditions are known. • Solving the response under simple input analytically gives important insight. • Commonly used input signals for analytical solutions include step, impulse, ramp, and sinusoidal signals. Time Response Time Domain Input signals Step Response Time (sec) Amplitude 0 5 10 15 20 25 30 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 Transient-state Transient-response Steady state response or output