Consider a plant whose transfer function is l/(20s + 0.2). The performance specifications are
1. The magnitude of the steady-state command error must be no more than 0.01 for a unit-ramp command.
2. The damping ratio must be unity.
3. The dominant time constant must be no greater than 0.1.
a. Select a control algorithm to meet the first specification, and compute the required values of its gains. What is the damping ratio that results? What is the time constant?
b. Select a control algorithm to meet the first two specifications, and compute the required values of its gains. Evaluate the resulting time constant.
c. Select a control algorithm to meet all three specifications.