This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: MEEN 651 Control System Design Homework 4: Frequency Response, Bode Plots, Nyquist Diagrams Solution Assigned: Tuesday, 23 Sept. 2008 Due: Tuesday, 30 Sept. 2008, 5:00 pm Problem 1) Given a linear time invariant (LTI) state space system described by: Cx y Bu Ax x = + = & with ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ = γ β 1 A , ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ − = 1 α β B , and [ ] 1 = C , a. Derive the transfer function from u to y (Note the slight difference from the system given in the in previous HW) b. Sketch the Bode plot for the following cases (please sketch magnitude and phase response, and be sure to label all pertinent information): i. < < < γ β α Example Plot for 1 , 10 , 100 − = − = − = γ β α80604020 20 Magnitude (dB) 102 101 10 10 1 10 2 10 3 10 41801359045 Phase (deg) ↓ α ↓ β ↓ γ Bode Diagram Frequency (rad/sec) ii. < < < γ α β Example Plot for 1 , 100 , 10 − = − = − = γ β α80706050403020 Magnitude (dB) 102 101 10 10 1 10 2 10 3 10 49045...
View
Full
Document
This note was uploaded on 09/20/2009 for the course MEEN 651 taught by Professor Staff during the Fall '08 term at Texas A&M.
 Fall '08
 Staff

Click to edit the document details