ASE 370L - Practice Test 1

# ASE 370L - Practice Test 1 - A and the poles of the...

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Flight Control Systems Test #1 Dr. Bishop - Fall 2006 Closed-book; 75 minutes 1. (33pts) Consider the control system shown in Figure 1. (a) Compute the closed-loop transfer function. (b) Determine the characteristic equation. (c) Compute the sensitivity of the closed-loop system to changes in the parameter q . (d) Determine values for K P and K I so that the steady-state tracking error to a unit ramp input R ( s ) is less than 0.1 and the percent overshoot to a unit step is P.O. 5%. R(s) Y(s) 10 s + q - + + + K I s K P Figure 1: Block Diagram for Problem 1. 2. (33pts) Consider the system given by ... y +2¨ y + 3 ˙ y + y = u + 2 ˙ u (1) (a) Determine the transfer function model associated with Eq. (1). (b) Determine a state variable model of the system in the Eq. (1) of the form ˙ x = Ax + B u y = Cx + D u Clearly define the state variables. (c) What is the relationship between the eigenvalues of the matrix

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Unformatted text preview: A and the poles of the transfer function? 3. (34pts) Consider the system model depicted in Figure 2. (a) What is the system type of the process, G ( s )? (b) For each case below, design a controller to meet the stated steady-state tracking error speciﬁcations due to the disturbance, D ( s ): 1. The disturbance is a unit step. The desired steady-state error to the disturbance is zero. 2. The disturbance is a unit ramp. The desired steady-state error to the disturbance is less than 0.1. 3. The disturbance is unit ramp. The desired steady-state error to the disturbance is zero. R(s) +-Y(s) Process, G(s) Controller 2 s ( s +2) + D(s) + + N(s) G c (s) Figure 2: Block Diagram for Problem 3....
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