ASE 370L - Practice Test 2

# ASE 370L - Practice Test 2 - Flight Control Systems Test #1...

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Flight Control Systems Test #1 Dr. Bishop - Fall 2007 Closed-book; 75 minutes 1. (33pts) Consider the control system shown in Figure 1. (a) Compute the closed-loop transfer function from R ( s ) to Y ( s ) and the transfer function from T d ( s ) to Y ( s ). (b) Determine the closed-loop characteristic equation. (c) Find the ranges of K P and K D for closed-loop stability. (d) Determine values for K P and K P so that the steady-state tracking error to a unit ramp disturbance T d ( s ) is less than 0.1. + Y ( s ) - R ( s ) Process Controller Actuator E a ( s ) Sensor 10 2 s + 10 1 s + 1 4 T d ( s ) K p + K D s + + Figure 1: Block Diagram for Problem 1. 2. (33pts) Consider the system given by ¨ y - 3 ˙ y - 2 y = 2 u (1) (a) Determine a state variable model of the system in the Eq. (1) of the form ˙ x = Ax + B u y = Cx + D u Clearly de±ne the state variables. (b) Assume that the input is a linear combination of the states, that is, u ( t ) = - Kx ( t ) + r ( t ) ,

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where r ( t ) is the reference input. The matrix
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## This note was uploaded on 09/18/2011 for the course ASE Controls taught by Professor Bishop during the Spring '10 term at University of Texas at Austin.

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ASE 370L - Practice Test 2 - Flight Control Systems Test #1...

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