Q1] a) Design a control system such that the resulting closed-loop, unity feedback system meets the following specifications: i. Peak time tp ≤ 0.2π. ii. 2% settling time for step-input of ts ≤ 8 second. Maximum overshoot equal or less than e w²/1 Shade the region on = Given that the closed loop transfer function T(s): s²+2{wns+w the complex plane (Re- Im axes) within which the roots of the characteristic equation should lie for all these conditions to be satisfied.

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Q1]
a) Design a control system such that the resulting closed-loop, unity feedback system
meets the following specifications:
i.
Peak time tp ≤ 0.2TT.
ii.
2% settling time for step-input of ts ≤ 8 second.
Maximum overshoot equal or less than e
iii.
w71
Shade the region on
.
Given that the closed loop transfer function T(s) = s²+2{ws+²
the complex plane (Re- Im axes) within which the roots of the characteristic equation
should lie for all these conditions to be satisfied.
Transcribed Image Text:Q1] a) Design a control system such that the resulting closed-loop, unity feedback system meets the following specifications: i. Peak time tp ≤ 0.2TT. ii. 2% settling time for step-input of ts ≤ 8 second. Maximum overshoot equal or less than e iii. w71 Shade the region on . Given that the closed loop transfer function T(s) = s²+2{ws+² the complex plane (Re- Im axes) within which the roots of the characteristic equation should lie for all these conditions to be satisfied.
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