TUT_wk10

# TUT_wk10 - Compute the unit-step response y ( kT ) for k =...

This preview shows pages 1–5. Sign up to view the full content.

Tutorial questions for week 10 Part A: 1. Apply the w -transform to the following characteristic equations of discrete-data control systems, and determine the conditions of stability (stable, marginally stable, or unstable) using the Routh-Hurwitz criterion. Answer: (b) two roots outside of the unit circle. 2. The characteristic equation of a linear digital control system is Determine the values of K for the system to be asymptotically stable. Answer: -0.2<k<0.07

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

View Full Document
Part B: 1. The block diagram of a sampled-data control system is shown below. (a) Derive the forward-path and the closed-loop transfer functions of the system in z -transforms. The sampling period is 0.1 second. (b)

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

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Compute the unit-step response y ( kT ) for k = 0 to 100. (c) Repeat parts (a) and (b) for T= 0.05 second. Answer: (a) When T=0.1s, 8187 . 8187 . 1 021904 . 02341 . ) ( ) ( 2 +-+ = z z z z E z Y 8406 . 7953 . 1 021904 . 02341 . ) ( ) ( 2 +-+ = z z z z R z Y (b) (c) When T=0.05s, 9048 . 9048 . 1 0058484 . 0060468 . ) ( ) ( 2 +-+ = z z z z E z Y 91069 . 8988 . 1 0058484 . 006046 . ) ( ) ( 2 +-+ = z z z z R z Y 2. The block diagram of a sampled-data control system is shown below. (a) Derive the transfer functions Y ( z )/ E ( z ) and Y ( z )/ R ( z ). (b) Find the error constants * p K , * v K and * a K . Answer: (a) (b)...
View Full Document

## This note was uploaded on 06/02/2010 for the course HET 489 taught by Professor Zhenwei during the Three '08 term at Swinburne.

### Page1 / 5

TUT_wk10 - Compute the unit-step response y ( kT ) for k =...

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online