For 1. How many lead compensator designs will meet the transient response specif

Question

For

1. How many lead compensator designs will meet the transient response specifications of a system? 2. What differences do the lead compensators of Prelab 1 make? 3. Design a lead compensator for a unity negative feedback system with a forward transfer to meet the following specifications: percent overshoot= 20%; settling time= 2 seconds. Specify the required gain, K. Estimate function of G(s)- the validity of the second-order approximation 4. What is the total angular contribution of the lead compensator of Prelab 3? 5. Determine the pole and zero of two more lead compensators that will meet the requirements of Prelab 3

Explanation / Answer

TRANSIENT RESPONSE

In electrical engineering, a transient response or natural response is response of the system to a change from an equilibrium or a steady state. The transient response is not necessarily tied to abrupt events but to any event that effects the equilibrium of the system. The impulse response and step response are transient response to specific input(an impulse and a step,respectively).

Rise time

Overshoot

Settling time

Delay time

Peak time

Steady state error

LEAD COMPENSATOR

Lead compensator is a similar in structure as lag compensator ,the transfer function could be written as

klead(s)=kc(s+a)/s+b

Design of a lead compensator

tf1=1/s(s+4)(s+6)

Lead compensator is used to obtain the desired performance of the system we use compensators

to compensate a unstable system to make it stable.

There are three compensetors

Series compensator

Load compensator

Feedback compensator

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