Question

(a) Explain the operation of the LVDT. Illustrate your answer with LVDT uses and name 2 applications. Provide sketches where appropriate. (8 marks) (b) Define a system and distinguish between the following terms applied to control systems: i) Physical model and mathematical model ii) Linear and nonlinear systems iii) Linear time variant and linear time-invariant models (8 marks) (c) The transfer function of a control system is $G(s) = \frac{K}{s^2 + 4s + K}$. Find K if the system is critically damped. (5 marks) (a) State the poles and zeros of the function $T(s) = \frac{6(s+3)}{s^2 + 13s + 30}$. (4 marks) (b) A servo system has a loop gain of $G(s)H(s) = \frac{1000}{(s+2)(s+10)}$. A step input of 5 rad/sec is applied to the input. Calculate the steady state error. (5 marks)

          (a) Explain the operation of the LVDT. Illustrate your answer with LVDT uses and name 2 applications.
Provide sketches where appropriate.
(8 marks)
(b) Define a system and distinguish between the following terms applied to control systems:
i) Physical model and mathematical model
ii) Linear and nonlinear systems
iii) Linear time variant and linear time-invariant models
(8 marks)
(c) The transfer function of a control system is $G(s) = \frac{K}{s^2 + 4s + K}$. Find K if the system is critically damped.
(5 marks)
(a) State the poles and zeros of the function $T(s) = \frac{6(s+3)}{s^2 + 13s + 30}$.
(4 marks)
(b) A servo system has a loop gain of $G(s)H(s) = \frac{1000}{(s+2)(s+10)}$. A step input of 5 rad/sec is applied to the input.
Calculate the steady state error.
(5 marks)

(a) Explain the operation of the LVDT. Illustrate your answer with LVDT uses and name 2 applications.
Provide sketches where appropriate.
(8 marks)
(b) Define a system and distinguish between the following terms applied to control systems:
i) Physical model and mathematical model
ii) Linear and nonlinear systems
iii) Linear time variant and linear time-invariant models
(8 marks)
(c) The transfer function of a control system is G(s) = (K)/(s^2 + 4s + K). Find K if the system is critically damped.
(5 marks)
(a) State the poles and zeros of the function T(s) = (6(s+3))/(s^2 + 13s + 30).
(4 marks)
(b) A servo system has a loop gain of G(s)H(s) = (1000)/((s+2)(s+10)). A step input of 5 rad/sec is applied to the input.
Calculate the steady state error.
(5 marks)

Added by Jessica M.

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