Control ENG HW_Part_51

Control ENG HW_Part_51 - C = 0.116-=-τ 2 1 2 2 1 tan 1 sin...

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

View Full Document Right Arrow Icon
13.1 The set point of the control system in fig P13.1 given a step change of 0.1 unit. Determine (a) The maximum value of C and the time at which it occurs. (b) the offset (c) the period of oscillation. Draw a sketch of C(t) as a function of time. ) 1 2 )( 1 ( 5 1 ) 1 2 )( 1 ( 5 + + + + + = s s K s s R C 9 3 2 8 2 + + = s s R C s R 1 . 0 = b) 0889 . 0 9 8 . 0 9 3 2 8 . 0 ) ( 2 0 = = + + = s s Lt C S offset = 0.0111 c) 2 2 1 3 1 2 ; 3 2 ; 9 8 . 0 = = = = ξ ξτ τ K
Background image of page 1

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

View Full DocumentRight Arrow Icon
overshoot = 305 . 0 1 exp 2 = - - ξ πξ = Maximum vslue of C = 1.0305*0.0889=0.116 Maximum value of
Background image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: C = 0.116 -+---=--τ 2 1 2 2 1 tan 1 sin 1 1 1 9 8 . 116 . t e t 6 . 1 1 tan 1 2 1 2 =--=-t Time at which C max occurs = 1.6 (c ) Period of ociullation is 166 . 3 1 2 2 =-= πτ T T =3.166 Decay ratio = (overshoot) 2 = 0.093...
View Full Document

This note was uploaded on 11/13/2011 for the course COP 4355 taught by Professor Koslov during the Spring '10 term at University of Florida.

Page1 / 2

Control ENG HW_Part_51 - C = 0.116-=-τ 2 1 2 2 1 tan 1 sin...

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