¸ñÂ÷/Â÷·Ê
INTRODUCTIONTHEORETICAL FOUNDATION AND BACKGROUND MATERIAL: MODELING OF DYNAMICAL SYSTEMSTHEORETICAL FOUNDATION AND BACKGROUND MATERIAL: COMPLEX VARIABLES, DIFFERENTIAL EQUATIONS, LAPLACE TRANSFORMTHEORETICAL FOUNDATION AND BACKGROUND MATERIAL: BLOCK DIAGRAMS, SIGNAL FLOW GRAPHS AND STATE DIAGRAMSMODELING OF PHYSICAL SYSTEMS: MIXED SYSTEMSSTABILITY OF LINEAR CONTROL SYSTEMSTIME-DOMAIN ANALYSIS OF CONTROL SYSTEMSROOT LOCUS TECHNIQUESFREQUENCY RESPONSEDESIGN OF CONTROL SYSTEMS: TIME AND FREQUENCY DOMAINTHE CONTROL LABORATORY: PHYSICAL LABSSTATE VARIABLE ANALYSISDESIGN OF CONTROL SYSTEMS: STATE FEEDBACK APPROACHTABLE OF CONTENTS PROVIDED BY PUBLISHER. ALL RIGHTS RESERVED.
º»¹®/³»¿ë
Ninth Edition
Farid Golnaraghi ? Benjamin C. Kuo
So lu tio ns
M an ua l
Automatic?Control?Systems,?9th?Edition? A ? ?
?Chapter?2?Solutions n
?Golnaraghi,?Kuo? r
Chapter 2 C 2?1??(a)??Poles 2 s:??s?=?0,?0,??1,?? ?10;? ?
? ? ? ??Zeros s:??s?=??2,?¡Ä,?¡Ä,?¡Ä.? ? ? ? ? ? ? ? ?
(b) ?Poles:??s?=??2, ,??2;?
???????Zeros:??s?=?0. ???????The?pole?and?zero?at?s?=??1?c cancel?each?other.? t
????
(c)?? ( Poles:??s?=?0,??1?+?j,??1???j;?
? ??Zeros s:??s?=??2.?
?
(d)??Poles:??s =?0,??1,??2,?¡Ä.?
?? 2-2) 2 a) b) c)
?
2-3) 2
MATLAB?code M e:?
2?1? ?
Automatic?Control?Systems,?9th?Edition? ? ?
clear all; s = tf(`s`)
?Chapter?2?Solutions?
?Golnaraghi,?Kuo?
`Generated transfer function:` Ga=10*(s+2)/(s^2*(s+1)*(s+10)) `Poles:` pole(Ga) `Zeros:` zero(Ga)
`Generated transfer function:` Gb=10*s*(s+1)/((s+2)*(s^2+3*s+2)) `Poles:`; pole(Gb) `Zeros:` zero(Gb)
`Generated transfer function:` Gc=10*(s+2)/(s*(s^2+2*s+2)) `Poles:`; pole(Gc) `Zero¡¦(»ý·«)