aide温度800 有温度的话语800字
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aide温度800 有温度的话语800字
aide温度00(一)
1
INTRDUTIN
Variable struture ontrol is a synthesis ethod whih belons to the nonlinear ontrol theory on the basis of phase-plane. Its basis thouht is that systeati state variables reahes soe swithin surfae firstly, then in this surfae they slide to the oriin ore and ore. When this oveent of slidin has ood quality, the purpose of ontrol is finished [1]. The ain harateristi of this kind of ontrol is extreely stron robust. That is, to the odel error, syste paraeter variation and external disturbane, it is insensitive.
Therefore, ain tasks of desinin slidin ode ontroller are onfirin swithin surfae and desinin ontrol law. Above all, the struture of variable struture ontroller or the fiure of swithin surfaes and the for of swithin funtions should be onfired.
enerally, we hoose linear swithin funtions, whose fiure eans the ontrol variables ount, i.e. ,
s(x)x, sR, R, xR
and hoose unifor veloity onverene law as the followin for:
sins, (0, R) s
1, s0
where sins
1, s0
bviously, for a VS syste, the existene and the
0 . reahin onditions are stated as ss
xnn
2 SLIDIN DE NTRLLER
For the eneral ontrol syste, the equation is iven as
f(x,u,t) xRn, uR, tR x
Desinin slidin ode ontroller is onfirin swithin funtion vetor
s(x), sR,
and seekin variable struture ontrol
u(x), s(x)0
u(x)u(x) u(x)
u(x), s(x)0
3
DESIN F SLIDIN DE
NTRLLER FR TEPERATURE SYSTE
3.1 Syste odel
suh that
slidin
This paper uses PT-III proess ontrol systes experiental devie produed by hejian Qiushi o, Ltd.
ode exists, that is, satisfies This devie iitates the boiler and arries out experients. ds
The heater for internal tube uses the eletriity heat silk of lis0;
s0dt
2KW, whih uses ontrollable silion phase-ove and
satisfies the reahin ondition, and the touh off unit, whose input ontrol sinal adopts 4-20A phase-ontour beyond the swithin surfae s will standard eletri urrent sinal. Its phase-ove and touh reah swithin surfae in liit tie; off anle is proportional to the input ontrol eletri swithin surfae is slidin ode reion, whose urrent. In order to ontrol water teperature T1 of the slidin oveent is steady ore and ore, and internal tube, We an ontrol the end voltae of the heater
by ontrollin alternatin voltae. When the input urrent the syste has ood dynai quality.
is 4A, the end voltae of the heater is 0V, and 20A urrent orresponds to 220V voltae. Water teperature T-This work is supported by National Nature Siene Foundation under 2 of the external tube depends on heat transferred fro the
rant 60177024
internal tube and taken away by water overflowed fro the external tube. When T1 is low, the output voltae of the ontrollable silion voltae reulator inreases. Then T1 rises, the external tube water teperature T2 rises. When T2 is hiher than the settin value, the inflowin water valve of the external tube ust open bi so that ore water overflows fro the external tube and takes heat away. It is obvious, the ontrollable silion voltae reulator and the outflowin water reulatin valve influene eah other. Teperature T1 and T2 ontrol syste are systes of utual opilin.
For the sake of it, we set up the followin atheatial odel:
dT11dtk1u11(T1T2)F1
dT2
2
dt
2(T1T2)F2k2u2(T2T0)
Where is the speifi heat of water, 1 is the ass of water in the internal tube, 2 is the ass of water in the external tube, F1 is heat transfer area of the internal tube, F2 is heat transfer area of the external tube, 1 is heat transfer oeffiient of the external tube to the internal tube, 2 is heat transfer oeffiient of the internal tube to the external tube, k1 is the oeffiient of the heat that the eletriity silk produes to the input sinal of voltae reulator, k2 is the oeffiient of the open deree of reulatin valve to the inflowin water, u1 is a input sinal 0-1000 of the ontrollable silion voltae reulator orrespondin to 4-20A, u2 is the openin deree of the outflowin water reulatin valve whose value is
0-1000, T0 is the abient teperature, dT1
1is the dtinreased heat flow of water in the internal tube, k1u1 is the absorbed heat flow fro the heater of water in the internal tube, 1(T1T2)F1 is heat flow of water released
fro the internal tube throuh the inside wall of the internal tube, dT22 is the inreased heat flow of water dt
in the external tube, 2(T1T2)F2 is the absorbed heat
flow of water in the external tube throuh the outside wall
of the internal tube, and k2u2(T2T0), a nonlinear
one of this syste, is the heat flow taken away by the
water overflowin fro the external tube. Let us define
a1F1,1
b1F1,a2F22,2F2,
111b2
22
dk1
,d2
k2(T2T0). 112
The syste is iven by the state equation T1a1 b1T1
d1 0u1 (1) T
2
aT
2 b220 d2u2
easure and alulation throuh the experient, we an deterine paraeters value as follows:
4.13kJ/(k
); 14.97k; 2.4k;
F0.42;F2
2120.36; 1700W/(K);
2
27600W/(K); k11kJ/(sA);
k2
20.009/(sA);T0
02
Then, we et
a1=-0.1; b1=0.1; a2=0.12; b2=-0.12; d1=0.0
3.2 Slidin ode Struture of ontroller
For the syste, let us define
xt
1
e1
dt
or x2e1r1T1
x3
t
e2
dt
or x4e2r2T2
where r1= teperature establishin value of the
internal tube
e1= teperature error of the internal tube
r2= teperature establishin value of the
external tube
e2= teperature error of the external tube
Thus, the state equation of the ulti-input-ulti-output syste is onverted into the followin first-order equations:
x
1x2 (2) x2
a1T1b1T2d1u1x
3x4 x4
a (3) 2T1b2T2d2u2Fro above in (2) and(3), hoose the followin swithin funtion respetively:
s11x1x2 s22x3x4
The followin ondition is satisfied when the syste enter
sidin ode:
s11x1x2x
11x10 s22x3x4x32x30 Solvin for x1 and x3, the roots are
xt
1tx10e
1 x3tx30e
2t
bviously, only when 1>0,2>0, the variable struture
ontrol syste is steady [2]—[3]. And then
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