P5.7 Astronaut Bruce McCandless II took the first untethered walk-in space on February 7, 1984, usingthe gas-jet propulsion device illustrated in Figure P5.7(a). The controller can be represented by a gainK2, as shown in Figure P5.7(b). The moment of inertia of the equipment and astronaut is I= 25 kg.m?.(a) Determine the necessary gain K3 to maintain a steady-state error equal to 1 cm when the input is aunit ramp. (b) With this gain K3, determine the necessary gain KIK2 in order to restrict the percentovershoot to P.O.310. Gas jetAstronautcontrollerR(s)Force 1 VelocityIsPositionDesiredK1K2(meters)positionK3

I = 25 kg m2 given get propulsion device; gain k1, k2 and k3 given;

P 5.7 Astronaut Bruce McCandless II took the first untethered walk-in space on February 7, 1984, using the gas-jet propulsion device illustrated in Figure P5.7(a). The controller can be represented by a gain K2, as shown in Figure P5.7(b). The moment of inertia of the equipment and astronaut is I = 25 kg.m². (a) Determine the necessary gain K3 to maintain a steady-state error equal to 1 cm when the input is a unit ramp. (b) With this gain K3, determine the necessary gain K,K2 in order to restrict the percent overshoot to P.O.<10.

P 5.7 Astronaut Bruce McCandless II took the first untethered walk-in space on February 7, 1984, using the gas-jet propulsion device illustrated in Figure P5.7(a). The controller can be represented by a gain K2, as shown in Figure P5.7(b). The moment of inertia of the equipment and astronaut is I = 25 kg.m². (a) Determine the necessary gain K3 to maintain a steady-state error equal to 1 cm when the input is a unit ramp. (b) With this gain K3, determine the necessary gain K,K2 in order to restrict the percent overshoot to P.O.<10.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

P5.7 Astronaut Bruce McCandless II took the first untethered walk-in space on February 7, 1984, using
the gas-jet propulsion device illustrated in Figure P5.7(a). The controller can be represented by a gain
K2, as shown in Figure P5.7(b). The moment of inertia of the equipment and astronaut is I= 25 kg.m?.
(a) Determine the necessary gain K3 to maintain a steady-state error equal to 1 cm when the input is a
unit ramp. (b) With this gain K3, determine the necessary gain KIK2 in order to restrict the percent
overshoot to P.O.310.

Gas jet
Astronaut
controller
R(s)
Force 1 Velocity
Is
Position
Desired
K1
K2
(meters)
position
K3

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