Question: DP10.8 A simple closed-loop control system has been proposed to demonstrate proportional-integral (PI) control of a windmill radiometer [27]. The windmill ra diometer is shown
DP10.8 A simple closed-loop control system has been proposed to demonstrate proportional-integral (PI)
control of a windmill radiometer [27]. The windmill ra
diometer is shown in Figure DP10.8
(a) and the control system is shown in Figure DP10.8(b). The variable to be controlled is the angular velocity ω of the windmill radiometer whose vanes turn when exposed to infra
red radiation. An experimental setup using a reflex
ive photoelectric sensor and basic electronic circuitry makes possible the design and implementation of a high performance control system.
Assume τ = 20 s. Design a PI controller so that the system achieves a deadbeat response with a set
tling time of Ts ≤ 25 s. 
FIGURE DP10.8 (a) Radiometric windmill. (b) Control system. (a) Infrared radiation Controller Plant R(s) T Y(s) Ge(s) TS+1 (b)
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