TRANSIENT RESPONSE

TRANSIENT RESPONSE

1. The response in time of a control system is usually divided into two parts:

   • Transient response
     • Part of the response in time that tends to zero when the time becomes very large (∞)
       • Its amplitude and duration must be kept within tolerable or prescribed limits
     • Significant part of the dynamic behavior of the system
   • Steady state response
     • Part of the total response that remains after the transient has faded
       • Indicates the final accuracy of the system
         • There is usually a steady state error
           • The output does not exactly match the desired reference

2. Every control system presents it before reaching the steady state response. It exhibits damped oscillations before reaching its stable state.

   • Affected by the initial conditions

3. Characteristics

   • 2. Delay time (Td)
   • 3. Settling time (Ts)
   • 4. Lifting Time (Tr)
   • 5. Peak time (Tp)
   • 1. Maximum Overshoot (Mp)

4. Behavior in damping factors

   • Underdamped
   • Critically damped
   • Overdamped
   • Undamped

5. Analysis before a single step input

   • First order systems
   • Second order systems
     • Behavior in damping factors

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