1. Consider the system shown below: |K1 K2 K3 K4 a) Choose the gains K1, K2, K3, and K4 such that (i) the overall system is stable with one stable hidden mode; (ii) the output y(t) tracks a step reference r(t) with no steady-state error; (iii) maximum percent overshoot in response to a unit step reference is 10%; (iv) the output settles to 2% of its steady-state value within 10 units of time in response to a unit step reference; and 1/5

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1. Consider the system shown below:
K1
K2
K3
K4
a) Choose the gains K1, K2, K3, and K4 such that
(i) the overall system is stable with one stable hidden mode;
(ii) the output y(t) tracks a step reference r(t) with no steady-state error;
(iii) maximum percent overshoot in response to a unit step reference is 10%;
(iv) the output settles to 2% of its steady-state value within 10 units of time in response to
a unit step reference; and
(v) peak time in response to a unit step reference is no less than 5 units of time.
b) Let K1, K2, K3, and K4 be as chosen above. Determine the steady-state error in response
to a
i) unit ramp reference, r(t) = t, t > 0;
ii) unit quadratic reference, r(t) = }t², t > 0.
Transcribed Image Text:1. Consider the system shown below: K1 K2 K3 K4 a) Choose the gains K1, K2, K3, and K4 such that (i) the overall system is stable with one stable hidden mode; (ii) the output y(t) tracks a step reference r(t) with no steady-state error; (iii) maximum percent overshoot in response to a unit step reference is 10%; (iv) the output settles to 2% of its steady-state value within 10 units of time in response to a unit step reference; and (v) peak time in response to a unit step reference is no less than 5 units of time. b) Let K1, K2, K3, and K4 be as chosen above. Determine the steady-state error in response to a i) unit ramp reference, r(t) = t, t > 0; ii) unit quadratic reference, r(t) = }t², t > 0.
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