Question: AP6.3 A control system is shown in Figure AP6.3. We want the system to be stable and the steady-state error for a unit step input

AP6.3 A control system is shown in Figure AP6.3. We want the system to be stable and the steady-state error for a unit step input to be less than or equal to 0.1.

(a) Determine the range of α that satisfies the error requirement.

(b) Determine the range of α that satisfies the stability requirement.

(c) Select an α that meets both requirements.

FIGURE AP6.3 Third-order unity feedback system. R(s) + s+a s+ (2+) s+(6-

FIGURE AP6.3 Third-order unity feedback system. R(s) + s+a s+ (2+) s+(6- 1)s +(1-a) Y(s)

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