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?? sitrun.m

?? 基于MATLAB系統(tǒng)辨識(shí)工具箱的離線辨識(shí)程序
?? M
字號(hào):
function  [sys0,sys1]=SITrun(mode)
clc;
ts=0.001;                                           %數(shù)據(jù)采樣周期
N=1000;                                             %數(shù)據(jù)采樣點(diǎn)數(shù)
if mode==0
    load SIdata.mat                                 %導(dǎo)入用于模型辨識(shí)的數(shù)據(jù)
    servo=iddata(z,u,ts);
    servo.InputName='position';
    servo.OutputName='distance';
    ze=servo(1:N);
    %figure, plot(ze(1:1000))
    %ze=dtrend(ze);   
    %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
    %ARX模型辨識(shí)及最優(yōu)模型選擇
    %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
    nns=[1 1 0];nnt=[10 10 0];                      %設(shè)置ARX模型結(jié)構(gòu)參數(shù)的范圍
    %獲取模型結(jié)構(gòu)參數(shù)范圍
    nas=nns(1);nat=nnt(1);
    nbs=nns(2);nbt=nnt(2);
    nk=nns(3);
    if (nat-nas+1)*(nbt-nbs+1)>150
        return 
    end
    %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
    %ARX模型檢驗(yàn)及最優(yōu)模型選擇
    %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
    temp=0;
    for k1=nas:nat
        for k2=nbs:nbt
            m11=arx(ze,[k1 k2 nk]);                 %采用基于最小二乘法估計(jì)的ARX模型辨識(shí)
            [yh,fit]=compare(ze,m11);               %計(jì)算不同結(jié)構(gòu)模型的的適應(yīng)度
            if fit>temp
               temp=fit;m1=m11;                     %選擇適應(yīng)度最高的模型
               nn=[k1 k2 nk];
            end
            clc;
        end
    end
    %figure, compare(ze,m);                         %模型檢驗(yàn)
    [yh1,fit1]=compare(ze,m1);
    save SIdata.mat 
    %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
    %ARMAX模型辨識(shí)及最優(yōu)模型選擇
    %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
    disp('按任一鍵繼續(xù)!')
    pause
    nns=[6 6 6 0];nnt=[10 10 10 0];                 %設(shè)置ARMAX模型結(jié)構(gòu)參數(shù)的范圍  
    %獲取模型結(jié)構(gòu)參數(shù)范圍
    nas=nns(1);nat=nnt(1);
    nbs=nns(2);nbt=nnt(2);
    ncs=nns(3);nct=nnt(3);
    nk=nns(4);
    if (nat-nas+1)*(nbt-nbs+1)*(nct-ncs+1)>150
        return 
    end
    %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
    %ARMAX模型檢驗(yàn)及最優(yōu)模型選擇
    %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
    temp=0;
    for k1=nas:nat
        for k2=nbs:nbt
            for k3=ncs:nct
                m22=armax(ze,[k1 k2 k3 nk]);        %采用基于最小二乘法估計(jì)的ARMAX模型辨識(shí)
                [yh,fit]=compare(ze,m22);           %計(jì)算不同結(jié)構(gòu)模型的的適應(yīng)度
                if fit>temp
                    temp=fit;m2=m22;                %選擇適應(yīng)度最高的模型
                    nn=[k1 k2 k3 nk];
                end
                clc;
            end
        end
    end
    %figure, compare(ze,m);                         %模型檢驗(yàn)
    [yh2,fit2]=compare(ze,m2);
    save SIdata.mat                                 %模型及吻合程度存盤
    %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
    %BJ模型辨識(shí)及最優(yōu)模型選擇
    %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
    disp('按任一鍵繼續(xù)!')
    pause
    nns=[7 8 8 7 0];nnt=[10 10 10 10 0];            %設(shè)置BJ模型結(jié)構(gòu)參數(shù)的范圍
    %獲取模型結(jié)構(gòu)參數(shù)范圍
    nbs=nns(1);nbt=nnt(1);
    ncs=nns(2);nct=nnt(2);
    nds=nns(3);ndt=nnt(3);
    nfs=nns(4);nft=nnt(4);
    nk=nns(5);
    if (nbt-nbs+1)*(nct-ncs+1)*(ndt-nds+1)*(nft-nfs+1)>150
            return 
    end
    %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
    %BJ模型檢驗(yàn)及最優(yōu)模型選擇
    %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
    temp=0;
    for k1=nbs:nbt
        for k2=ncs:nct
            for k3=nds:ndt
                for k4=nfs:nft
                    m33=bj(ze,[k1 k2 k3 k4 nk]);    %采用基于最小二乘法估計(jì)的ARMAX模型辨識(shí)
                    [yh,fit]=compare(ze,m33);       %計(jì)算不同結(jié)構(gòu)模型的的適應(yīng)度
                    if fit>temp
                        temp=fit;m3=m33;            %選擇適應(yīng)度最高的模型
                        nn=[k1 k2 k3 k4 nk];
                    end
                    clc;
                end
            end
        end
    end
    %figure, compare(ze,m);                         %模型檢驗(yàn)
    [yh3,fit3]=compare(ze,m3);
    save SIdata.mat                                 %模型及吻合程度存盤
end
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%最優(yōu)模型及降階模型分析
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
load SIdata.mat;                                    %導(dǎo)入已辨識(shí)的模型和吻合程度及檢驗(yàn)用的數(shù)據(jù)                             
svo=iddata(z,u,ts);svo.InputName='position';
svo.OutputName='distance';ze=svo(N+1:N*2);
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%最優(yōu)模型選擇,并求取其傳遞函數(shù)
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
fit=max([fit1 fit2 fit3]);                          %選擇吻合程度最高的模型
switch fit                         
    case fit1
        m=m1;disp('最優(yōu)模型為ARX模型')
    case fit2
        m=m2;disp('最優(yōu)模型為ARMAX模型')
    case fit3
        m=m3;disp('最優(yōu)模型為Box-Jenkins模型')
end
%求最優(yōu)模型的傳遞函數(shù)
my=noisecnv(m);
s=tf(m);                                            %將模型轉(zhuǎn)化為傳遞函數(shù)
sys0=s(1);                                          %最優(yōu)模型的傳遞函數(shù)
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%最優(yōu)模型降階,并轉(zhuǎn)化為傳遞函數(shù)
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
mj=idmodred(m);                                     %模型降階
mjj=noisecnv(mj);
sy=tf(mjj);                                         %降階模型轉(zhuǎn)化為傳遞函數(shù)
sys1=sy(1);                                         %降階模型的傳遞函數(shù)

disp('降階后模型的傳遞函數(shù):')
sys1
[num,den]=tfdata(sys1);
disp('傳遞函數(shù)的系數(shù)向量:')
num=num{1}
den=den{1}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%最優(yōu)模型及降階后的模型與實(shí)際系統(tǒng)的吻合程度分析
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
disp('檢驗(yàn)數(shù)據(jù)下最優(yōu)模型與實(shí)際系統(tǒng)的吻合程度:')
[yh1,f1]=compare(ze,m);
fit=f1   
disp('按任意鍵繼續(xù)!')
pause

disp('檢驗(yàn)數(shù)據(jù)下降階模型與實(shí)際系統(tǒng)的吻合程度:')
[yh1,f1]=compare(ze,mj);
fit=f1  
figure,compare(ze,m,mj);

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