Deep-sea exploration is a challenging task in a petroleum industry. High pressure, huge area and uneven surface of seabed in the ocean are common problems in crude oil exploration. Application of a deep-sea exploration robot makes the task possible. Figure 4a shows the closed-loop block diagram of a deep-sea exploration robot. It consists of a controller, G.(s) an actuator, G. (s) and the robot model (system), G(s) . Their corresponding transfer functions are indicated in the block diagram. i) Determine the open-loop transfer function of the block diagram, G„(s) =G_(s)G,(s)G(s). ii) Write G_(s) in its “standard form" of G(j@). iii) Sketch the bode plot of G„(j@) in the provided semi-log graph paper. controller actuator system R(s) + s +15 s + 4 C(s) 8(s + 2) s + 20 (s + 5 )*

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a) Deep-sea exploration is a challenging task in a petroleum industry. High pressure, huge area
and uneven surface of seabed in the ocean are common problems in crude oil exploration.
Application of a deep-sea exploration robot makes the task possible. Figure 4a shows the
closed-loop block diagram of a deep-sea exploration robot. It consists of a controller, G,(s)
an actuator, G (s) and the robot model (system), G(s) . Their corresponding transfer
functions are indicated in the block diagram.
i)
Determine the
open-loop transfer function of the
block diagram,
G„(8) =G_(s)G,(s)G(s).
ii)
Write G (s) in its “standard form" of G(ja).
iii)
Sketch the bode plot of G„(j@) in the provided semi-log graph paper.
system
s + 4
controller
actuator
R(s) +
C(s)
s + 15
s + 20
8(s + 2)
s + 5)
Figure 4a: Block diagram of a deep-sea exploration robot.
Transcribed Image Text:a) Deep-sea exploration is a challenging task in a petroleum industry. High pressure, huge area and uneven surface of seabed in the ocean are common problems in crude oil exploration. Application of a deep-sea exploration robot makes the task possible. Figure 4a shows the closed-loop block diagram of a deep-sea exploration robot. It consists of a controller, G,(s) an actuator, G (s) and the robot model (system), G(s) . Their corresponding transfer functions are indicated in the block diagram. i) Determine the open-loop transfer function of the block diagram, G„(8) =G_(s)G,(s)G(s). ii) Write G (s) in its “standard form" of G(ja). iii) Sketch the bode plot of G„(j@) in the provided semi-log graph paper. system s + 4 controller actuator R(s) + C(s) s + 15 s + 20 8(s + 2) s + 5) Figure 4a: Block diagram of a deep-sea exploration robot.
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