Exam1_Fall03

Exam1_Fall03 - MEEN 364 Exam 1 Texas A&M University...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
MEEN 364 Exam 1 1/9 Texas A&M University Department of Mechanical Engineering MEEN 364 Dynamic Systems and Controls Exam 1 – October 9, 2003 7:00 – 9:00 PM; 124 HRBB N a m e : Please circle your section below: Section (Lab Time): 501(M 1:50-4:40 PM) 502 (T 8:00-10:50 AM) 503 (T 2:20-5:10 PM) 504 (W 1:50-4:40 PM) 506 (R 2:20-5:10 PM) NOTE: No calculators are allowed. No open books or open notes. Problem 1: You are given a system with input u ( t ) and output y ( t ) described by the following set of state-space equations: dx 1 / dt = 3 x 2 + u dx 2 / dt = – x 1 4 x 2 u y = x 1 We are interested in solving for the response of the system (its output) for t > 0 when the state at t = 0 is given. (a) [7 points] Write an expression for the Laplace transform of the output, Y ( s ), in terms of the Laplace transform of the input, U ( s ), and the initial conditions for the states, x 10 and x 20 . (b) [6 points] If x 10 = 1, x 20 = 0, and u ( t ) = 0, solve for the output as a function of time ( y ( t ) for t > 0) using Laplace transform methods. (c) [6 points]
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 03/30/2008 for the course AERO 489 taught by Professor Garhic during the Spring '08 term at Texas A&M.

Page1 / 9

Exam1_Fall03 - MEEN 364 Exam 1 Texas A&M University...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online