Документ взят из кэша поисковой машины. Адрес оригинального документа : http://www.mce.biophys.msu.ru/archive/doc15761/doc.pdf Дата изменения: Mon Oct 29 12:47:08 2007 Дата индексирования: Mon Oct 1 20:30:28 2012 Кодировка: Поисковые слова: m 15

.. (. ) - () , (« -»). THE MODELING OF DISCRETE CONTROL SYSTEM WITH DOUBLE-TIME-SCALE Stepanchenko O.V. (Kamyshin city, Volgograd region) The issue deals with the algorithms design for the discrete plants with multi-rate state variables which may be separated to the subprocesses with low and fast modes correspondingly. The control algorithm synthesis is based on the two- time- scale control method. The results of DC double feeding electric driver illustrate the developed techniques. The problems of detection of the multi-rate effects presence are discussed as well. , ( , ) .
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, . - () , (« -») . , , , . , , ( , ). [1] 1. , : (1) x[ s + 1] = Ax[ s ] + Bu[ s ] + Cf [ s ] , , n­ x[s] x1[s] ( ) 2[s] ( ) n1 n2 , : x[s]=[x1[s]Tn1в1 | x2[s]Tn2в1], n1+n2=n; (1) u[s] ­ r­ , x1[s]T x2[s]T; f[s] ­ m­ ; s ­ . , , (1) : A11 M A12
A=
L A21

M M

L ­ (
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A 22


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n1вn1 n2вn2 ) x1[s] x2[s], ( n1вn2 n2вn1 ) .
B1 B = L ­ ( n1вr n2вr B2

), .
C1 C = L ­ ( n1вm n2вm C 2

), . 2. , t = t, <<1. 3. «» , s = 0,1,... t, , , : (2) x2 [s] = A21 x1[s] + A22 x2 [s] + B2 u[s] + C2 f [s] , «» n1 8


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: 1. x1[s] x1_[s], (.1), 0.1 . .

. 1.

2. , (3) x2 _ [ s ] = - P x1 _ [ s ] + V u[ s ] , P ­ , n2вn1, ; V ­ . P P A11 - A22 P - P A12 P = - A21 . (4) (4) P, , . V V = ( E - A ) -1 B , E ­ n2вn2; A = A22 + P A12 , B = P B1 + B2 ­ . .2 9


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1. , (.. ), (3) (.3). 2. (s--1) (5) x[ ] = A[ - 1] x[ - 1] + B[ - 1] u[ - 1] + A21 x1[ s - 1] , A[], B[] ­ . (.4) , (3) (5) , (. 5). , (3).

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. 3.

. 4.

. 5.

, x1[s] x2[s] (x[s]) (x[s]) :
x[s] En1 = x[s]
вn1

- Q P P

En2

- Q вn2

x [s] 1 , x2[s]

Q ­ n1вn2,
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. Q

( A11 - A12 P ) Q - Q ( A22 + P A12 ) = - A12 .

, A11 A22 = A 22 / A11 . , , ( ) ( ). . .6 ( ()) I ()) .

. 1. . . . .: 1985.

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.. (. .) . . , . . SELECTION ALGORITHM OF THE COMPUTING SERVICE OF THE DISTRIBUTED HETEROGENEOUS COMPUTING SYSTEM Stepanchenko I.V. (Kamyshin city, Volgograd region) The issue deals with the selection algorithm synthesis of the computing service of the heterogeneous distributed computing system. The algorithm bases on the statistical data processing and fragmentation of subtasks in mandatory and secondary subtasks. The minimizing error function formulates in the work. The research results of algorithm for various parameters of computing system are also presented. , , ­ , , . 13


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, . , , , . , , (, ) . . : -, [1], [2]. : ( -) ( ). . , f(m), , m = [m1, m2,... mv], f(m) . f(m) . : · m(0) m(0); · . · d- :
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m(d), , , j-: [m1(d), m2(d),..., mj -1(d), mj + 1(d),..., mv(d)] ; · mj (d): [mj (d+1)] (2) = mj (d) · [mj (d+1)] (1) = mj (d) + m (d); (d) - m ; · , «» ( ) ­ · [mj (d+1)] {[mj (d+1)](1), [mj (d+1)](2} · , · f(m1(d), m2(d),..., mj -1(d), mj (d+1), mj+1(d),..., mv(d)) · , · f(m1(d), m2(d),..., mj -1(d), mj (d), mj+1(d),..., mv(d)); · m, «» ; · m(d) . , «» ( ), ( ). , . , «» ( ). . , , . , : · , , ·
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; · , ; · ( ), , , . (, m ( d +1) = m ( d ) e w , w ­ ­ , ­ ). - . «» , , . . , , , , , , ( ­ ). (). , -. d- : · , , h ( h); · ( , 16


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«», ). · ( ): , «» ( - ), ( , ), ­ ( ). , . ( ). (- ) , , , (), : , . , , . (. 1).

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- , [3], : - ( ). , ( , , , ) , , . , ,
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- , , , .. . - . , , . . D , ( ) , .. . N , , .. . , . , ­ D N. N , .. . D. [4]:

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, ( « ») . 2 ( , 22054 ). , , 20


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. , , , . . 1. .. // . , : . . . / . ­ , 2001. ­ . 63-68. 2. Goldberg D.E. Genetic Algorithms in Search, Optimization and Machine Learning, Addison-Wesley Publishing Company, 1989. 3. Coulouris G., Dollimore J., Kindberg T. Distributed systems. Concepts and design. ­ 3-d edition. Pearson Education Limited, 2001. ­ 772 p. 4. Chung J.Y., Liu J.W.S., Lin K.J. Scheduling Real-time, Periodic Jobs Using Imprecise Results, Proc. IEEE RTS, 1987. pp. 252260.

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