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[ÇóÖú] matlab¼ÆËãÏßÐÔ¾ØÕó²»µÈʽ£¨LMI£©Ê±³öÏÖάÊýÓëͬһÁв»Ò»ÖµÄÎÊÌâ ÒÑÓÐ2È˲ÎÓë

Óöµ½Ò»¸öÇó½âÏßÐÔ¾ØÕó²»µÈʽµÄÎÊÌ⣬ÀûÓÃMATLAB½øÐбà³ÌÇó½âµÄ¹ý³ÌÖÐÓöµ½¡°Error using lmiterm (line 293)
lhs of LMI #2, block (4,2): term dimensions incompatible withother terms in same row¡±£¬µ«ÊÇÎÒÒѾ­¼ì²éÁËÐí¶à´ÎÁË£¬²»ÂÛÊÇpos(2,4)»¹ÊÇpos(4,2),²»¹ÜÊÇËùÔÚÐл¹ÊÇËùÔÚÁУ¬¾ØÕóµÄάÊý¶¼ºÍͬһÐкÍÁÐµÄÆäËû¾ØÕóÒ»Ö£¬²»Ó¦¸ÃÓÐÕâÑùµÄÎÊÌâ°¡£¬ÊµÔÚÊÇû°ì·¨ÁË£¬Çó½Ì´óÉñ°ï濴һϣ¬ÎҰѲ»µÈʽºÍ³ÌÐò¶¼ÌùÉÏÀ´¡£
³ÌÐòÈçÏ£º
clear all;
clc;

ms=320;
mt=40;
ks=18000;
kt=200000;
cs=1000;
ct=10;
g = 9.8;

%¿ØÖÆÆ÷²ÎÊý
rou = 1.6;
ite = 10000;
gama = 1;
w1 = 8*pi;%4Hz
w2 = 16*pi;%8Hz
wc =(w1+w2)/2;
xstmax = 0.1;%×î´ó¶¯ÐгÌ100mm
umax = 2500;%×î´óÖ÷¶¯³öÁ¦2000N

A=[0 0 1 -1; 0 0 0 1; -ks/ms 0 -cs/ms cs/ms; ks/mt -kt/mt cs/mt -(cs+ct)/mt];%ϵͳ¾ØÕó
B=[0; 0; 1/ms; -1/mt];%¿ØÖƾØÕó
B1=[0; -1; 0; ct/mt];
C1=[-ks/ms 0 -cs/ms cs/ms];%Êä³ö¾ØÕó
C2=[1/xstmax 0 0 0; 0 kt/(ms+mt)/g 0 0];
D1=1/ms;%´«µÝ¾ØÕó

%¶¨ÒåLMI
setlmis([]);
%Ê×Ïȶ¨Òå¾ö²ß±äÁ¿
P = lmivar(1, [4 1]);
P1= lmivar(1, [4 1]);
Q = lmivar(1, [4 1]);
F = lmivar(2, [4 4]);  %4*4¾ØÕó
K1= lmivar(2, [1 4]);  %1*4¾ØÕó

%2nd pos(1 1)
lmiterm([2 1 1 Q], -1, 1);
%2nd pos(1 2)
lmiterm([2 1 2 P], 1, 1);
lmiterm([2 1 2 F], -1, 1);
%2nd pos(1 6)
lmiterm([2 1 6 Q], wc, 1);
%2nd pos(2 2)
lmiterm([2 2 2 Q], w1*w2, -1);
lmiterm([2 2 2 F], A, 1, 's');
lmiterm([2 2 2 K1], B, 1, 's');
%2nd pos(2 3)
lmiterm([2 2 3 0], B1);
%2nd pos(2 4)
lmiterm([2 2 4 F'], 1, C1');
lmiterm([2 2 4 K1'], 1, D1');
%2nd pos(2 5)
lmiterm([2 2 5 Q], wc, -1);
%2nd pos(3 3)
lmiterm([2 3 3 0],-1*gama^2);
%2nd pos(4 4)
lmiterm([2 4 4 0], -1);
%2nd pos(5 5)
lmiterm([2 5 5 Q], -1, 1);
%2nd pos(5 6)
lmiterm([2 5 6 P], 1, 1);
lmiterm([2 5 6 F], -1, 1);
%2nd pos(6 6)¼ÆËãÏßÐÔ¾ØÕó²»µÈʽ£¨LMI£©Ê±
lmiterm([2 6 6 Q], w1*w2, -1);
lmiterm([2 6 6 F], A, 1, 's');
lmiterm([2 6 6 K1], B, 1, 's');
%2nd pos(6 7)
lmiterm([2 6 7 0], B1);
%2nd pos(6 8)
lmiterm([2 6 8 F'], 1, C1');
lmiterm([2 6 8 K1'], 1, D1');
%2nd pos(7 7)
lmiterm([2 7 7 0],-1*gama^2);
%2nd pos(8 8)
lmiterm([2 8 8 0], -1);

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%2nd pos(2 4)
lmiterm([2 2 4 F'], 1, C1');
lmiterm([2 2 4 K1'], 1, D1');
ÕâÀïÈç¹ûÏë×ö¾ØÕó±äÁ¿K1µÄתÖÃÓ¦¸ÃÊÇlmiterm([2 2 4 -K1], 1, D1');
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10Â¥2020-04-12 20:12:51
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