1、 c I | : 1004-0366(2001) 03-0083-05l : 2001- 04- 11 3 e “ d “ q 吕小云 崔作龙 王 军 杜晓东 杨国仁( 8 S 1 , 730000)K 1 :合理选择采样频率是设计实时数字控制系统遇到的实际问题。而采样频率的选定是实现高精度、良好指标和具备较强抗扰力控制的关键所在,根据实际经验讨论了选定采样频率的主要参量和方法。1 o M :数字控制系统; 采样频率; 方法 m s | :TP271 D S M :A1 “ q 4 5 ,P j “ X bV , P “ E , “ qA v | K q , “ V ? Y V X ro |
2、s , P j “ | C | 1 p “ q/ K 1b “ qWs Wmax (Wmax | K qs q) V b L = L H 3 e “ d , “ qi ? e Ws= 2Wmax | , 3 e 3 a“ d a$ e “ d ? S 1 ; ro 1 , H A r , y 3 e “ d A I n 4 b L = “ q 4 B 1 5 b1 Y “ q 1 1. 1 e 3 L H 3 e “ d , “ qWs 4 “ d 3 1 b e , | “ q Ws H ,M # “ M l, Q B l M ,A “ d 3 , s ? “ q bQ T l3 e ,i
3、“ q H ,M # “ W | M v , P “ d e T M , . “ d 2b Y e H W “ d y “ d | “ q “ d 3 b1. 2 ?L H 3 e “ d “ q 4 V v “ d a ? S I n b B ! 9 , “ d ? 1 p V C z Bw(Bandwidth) 1 p bY 5 :Ws10Bw | “ q3b I n “ d ? 1 p b L = 4 V “ d T a V ? Y # “ d H W y “ qWs b 14 3 2001 M 9 S Journal of Gansu Sciences Vol. 14 No. 3Sep
4、. 20011. 3 “ H W e “ d v 8 V n Z E F , h l “ d ? Y b 3 e “ d “ 5 4 F n , 1 图1 一阶低通控制器阶跃响应/ Y jb 3 e , P 3 | , B Y ro e E b 3 e F B R1(t) | , 3 e # H W m 1 U b t= 0 H Y R1(t) | X , V t0 H W e | r 3 e ( t0 K v B “ Ti 0t0T, m 1 t0=T 1) , y B Y Y , t0 H Y i Y 3 ,7 1 nullt= T 1+ T H Y B 8 ?p , v 3 e | b
5、N 7 n , | 3 nullt= T 1+ T H W , y 1 p , “ q K / K F K b2 “ q 4 1 “ B L H “ d T V E 9 1 s = Y b qs “ d z Bwa Wn (Wni J o ro q)b f / , | J o ro qWn e “ d # “ q v Y ,y 7 3 e ! 9 A I n Y b qd “ d z “ d r , 1 ! Y- ro J o ro , Y ro H W J o ro q v ,e “ d ? 3 Y b “ - v “ d 3 ro / , 5 : ro | | F r“ b 3 ro Z
6、B 1 , V ro a | M ,V 7 F i ro rT b Z H , “ qA Ws Wn, 5 3 ro | | , “ ro rT 1 , rT b2. 2 0. 5 T m图3 三种不同频率的响应 3 e “ d 4u(k) = - L (T)x(k)u(t)= u(k), kt= t= (k+ 1)T L(T) = L1(T) L2(T)lLn(T) K e Z , P f J=0(y2+ p(T) u2)dt l,“ T m V $ b1 . f :G(s)= 1s(s+ 1)n 5 + M 1 T T mbTm V :T m(1.3- 1.7) 1Ln(0) L = ,T
7、 m i 1 p E s ,y N 9 V 1 p , T 1 p Tm, V k X Z E T m T A1 b k X Z E 9 “ q “ d Y (n m 3 U )bV A :b)m (T0.5T m)A U 1 f 1 z Y b 4 “ q ? 5 :null | Ws= (5j15)Bw;null “ d Y ,B = “ 6j10Q ; “ d Y 6 H W “ 2j4Q bY V V s Y ) LH 3 e “ d “ q 4 ,X b# A y Ws Y b L= “ q 4 # / 5 , “ d 6 S a y 1 by N Y 4 “ q 5 : 86 S
8、2001 M 3 “ d ? - 4 / , V ? 4 “ qb I D : 1 ( ) Z ; . C e M. S u , , r, : S , 1987. 485j486 2 u , u . ) “ d ! 9 # L M. : , 1987. 254j256 3 z . ? e a J. 1 , 2000, 0700(6): 3j5 4 9 . 9 e # M. : b v , 1989. 197j302THECHOICEOF SAMPLINGFREQUENCYIN DIGITALCONTROLSYSTEMLU Xiao-yun, Cui Zuo-long, Wang Jun, Du
9、 Xiao-dong, Yang Guo-ren(Research Institute of Automation, Gansu Academy of Sciences, Lanzhou, 730000, China)Abstract:How to select sampling frequency reasonably is an actual problem in designingthe real time digital control system. The choice of sampling frequency is thecrucial point forhigh accura
10、cy, good index and a higher control of interference rejection. The method andmajor parameters of sampling frequency are discussed on the basis of actual experience.Keywords:Digital control system; sampling frequency; methodT e :g l , 3 ( 1952-), 8 b g ,1978 M 8 v q 8 q ,C 8S 1 a ba T C , 3 ( 1964-), 8 E ,1985 M 8 v “ H ,C 8 S 1 a = b87 14 g l : 3 e “ d “ q
