飞行管理问题的优化模型

1、MATLAB:%约束条件函数function c,ceq=aircon(delta)x0=150, 85, 150, 145, 130, 0;y0=140, 85, 155, 50, 150, 0;alpha0=243,236,220.5,159,230,52;%第一组数据;%x0=60, 70, 80, 50, 40, 0;%y0=100, 100, 100, 100, 100, 40;%alpha0=270, 270, 270, 270, 270, 0;%第二组数据;%x0=60, 60, 60, 60, 60, 0;%y0=80, 70, 60, 90, 100, 60;%alpha0=

2、180, 180, 180, 180, 180, 0;%第三组数据;%x0=0, 55, 90, 40, 80, 0;%y0=70, 5, 60, 130, 5, 60;%alpha0=0, 90, 180, 270, 180, 0;alpha0=alpha0*pi/180; v=800;co=cos(alpha0+delta); si=sin(alpha0+delta); for i=2:6 for j=1:i-1 b(i,j)=(x0(i)-x0(j)*(co(i)-co(j)+(y0(i)-y0(j)*(si(i)-si(j); a(i,j)=v*(co(i)-co(j)2+(si(i)

3、-si(j)2); t(i,j)=-b(i,j)/a(i,j); if t(i,j)0 d(i,j)=1000; else d(i,j)=(x0(i)-x0(j)+v*t(i,j)*(co(i)-co(j)2+(y0(i)-y0(j)+v*t(i,j)*(si(i)-si(j)2; end endendc=64-d(2,1), d(3,1:2), d(4,1:3), d(5,1:4), d(6,1:5);ceq= ;/*分割符*/%目标函数function f=airfun(delta)f=delta*delta;%f=sum(abs(delta);/*分割符*/%计算程序clear; clc

4、lb=-pi/18*ones(1,6); ub=pi/18*ones(1,6);options=optimset(LargeScale,off);n=20; fval=100; for i=1:n delta0=10*(rand(1,6)-0.5); dt,feval=fmincon(airfun,delta0, , , , ,lb,ub,aircon,options); if (fevalfval) fval=feval; dl=dt; endenddl=dl*180/pi,f=dl*dl%f=sum(abs(dl)clcx=60, 70, 80, 50, 40, 0;y=100,100,1

5、00,100,100,40;scatter(x,y,30,r,filled);for i=1:6 text(x(i)+2, y(i), num2str(i);endc=5 4 2 1 6 3;axis(-10, 195, -10, 170);grid on; hold on;plot(0,160,160,0,0,0,0,160,160,0,b);zt=270,270,270,270,270,0;%zt=270, 270, 270, 270, 270, 0+6.04 5.56 5.08 -6.15 -5.67 4.78;%zt=270, 270, 270, 270, 270, 0+ -7.717

6、2 5.5435 0.3477 -1.0448 6.0843 -3.4276;zt1=zt*pi/180; vt=1;dx=vt*cos(zt1); dy=vt*sin(zt1);for vt=1:160 x1=x+dx; y1=y+dy; scatter(x1,y1,11,c,filled); for j=1:5 for k=2:6 if k=j tx=x1(j)-x1(k); ty=y1(j)-y1(k); dl=sqrt(tx2+ty2); if dl=8 fprintf(n i=%d j=%d vt=%d, j,k,vt); end end end end x=x1; y=y1; pa

7、use(0.1);end x=60,60,60,60,60,0;y=80,70,60,90,100,60;scatter(x,y,30,r,filled);for i=1:6 text(x(i)+2, y(i), num2str(i);endc=5 4 2 1 6 3;axis(-10, 195, -10, 170);grid on; hold on;plot(0,160,160,0,0,0,0,160,160,0,b);zt=180,180,180,180,180,0;%zt=180,180,180,180,180,0+-1.29, -1.77, 9.74, -0.81 , -0.335,

8、5.58;zt1=zt*pi/180; vt=1;dx=vt*cos(zt1); dy=vt*sin(zt1);for vt=1:160 x1=x+dx; y1=y+dy; scatter(x1,y1,11,c,filled); for j=1:5 for k=2:6 if k=j tx=x1(j)-x1(k); ty=y1(j)-y1(k); dl=sqrt(tx2+ty2); if dl=8 fprintf(n i=%d j=%d vt=%d, j,k,vt); end end end end x=x1; y=y1; pause(0.1);end clcx=0,55,90,40,80,0;

9、y=70,5,60,130,5,60;scatter(x,y,30,r,filled);for i=1:6 text(x(i)+2, y(i), num2str(i);endc=5 4 2 1 6 3;axis(-10, 195, -10, 170);grid on; hold on;plot(0,160,160,0,0,0,0,160,160,0,b);zt=0,90,180,270,180,0;%zt=0,90,180,270,180,0+5.19, 6.13, 4.53, 0.0, 0.0, 5.67;%zt=0,90,180,270,180,0+0 -2.682928 -2.68292

10、8 0.0 0. 0.0;zt1=zt*pi/180; vt=1;dx=vt*cos(zt1); dy=vt*sin(zt1);for vt=1:160 x1=x+dx; y1=y+dy; scatter(x1,y1,11,c,filled); for j=1:5 for k=2:6 if k=j tx=x1(j)-x1(k); ty=y1(j)-y1(k); dl=sqrt(tx2+ty2); if dl=8 fprintf(n i=%d j=%d vt=%d, j,k,vt); end end end end x=x1; y=y1; pause(0.1);end clcx=150, 85,

11、 150, 145, 130, 0;y=140, 85, 155, 50, 150, 0;scatter(x,y,30,r,filled);for i=1:6 text(x(i)+2, y(i), num2str(i);endc=1 2 3 4 5 6;%c=5 4 2 1 6 3;axis(-10, 195, -10, 170);grid on; hold on;plot(0,160,160,0,0,0,0,160,160,0,b);zt=243,236,220.5,159,230,52;%zt=243,236,220.5,159,230,52+0, 0, 2.84, 0, 0, 0.79;

12、 %zt=243,236,220.5,159,230,52+0.0000 0.0001 0.0000 0.0000 -1.3846 -7.0638;zt1=zt*pi/180; vt=1;dx=vt*cos(zt1); dy=vt*sin(zt1);for vt=1:160 x1=x+dx; y1=y+dy; scatter(x1,y1,11,c,filled); for j=1:5 for k=2:6 if k=j tx=x1(j)-x1(k); ty=y1(j)-y1(k); dl=sqrt(tx2+ty2); if dl=8 fprintf(n i=%d j=%d vt=%d, j,k,

13、vt); %任意两架飞机距离小于8公里记录下来 end end end end x=x1; y=y1; pause(0.1);end %clc; clear;lb=-pi/18*ones(6,1); ub=pi/18*ones(6,1);options=optimset(LargeScale,off);n=20; fmin=100; for i=1:n z0=10*(rand(6,1)-0.5); x,fval=fmincon(fun1,z0, , , , , lb, ub, fun2,options); if fvalfmin, fmin=fval; xmin=x; endend%xminf

14、min=xmin*xmin;xmin=xmin*180/pifmin=fmin*180/pifunction f=fun1(zt)f=zt*zt;function g,h=fun2(zt)zt1=zeros(6,1); %x=150, 85, 150, 145, 130, 0;%y=140, 85, 155, 50, 150, 0;%zt0=243,236,220.5,159,230,52;%第一组数据;x=60, 70, 80, 50, 40, 0;y=100, 100, 100, 100, 100, 40;zt0=270, 270, 270, 270, 270, 0;%第二组数据;%x=6

15、0, 60, 60, 60, 60, 0;%y=80, 70, 60, 90, 100, 60;%zt0=180, 180, 180, 180, 180, 0;%第三组数据;%x=0, 55, 90, 40, 80, 0;%y=70, 5, 60, 130, 5, 60;%zt0=0, 90, 180, 270, 180, 0;zt0=zt0*pi/180; v=800;for i=1:6 zt1(i)=zt0(i)+zt(i);endfor i=2:6 for j=1:i-1 dx(i,j)=x(i)-x(j); dy(i,j)=y(i)-y(j); c(i,j)=cos(zt1(i)-co

16、s(zt1(j); s(i,j)=sin(zt1(i)-sin(zt1(j); t(i,j)=-(dy(i,j)*s(i,j)+dx(i,j)*c(i,j)/(c(i,j)2+s(i,j)2)/v; if (t(i,j)=64);Endmodel:sets: fj/p1.p6/:zt0,dzt,zt1,x0,y0; !fj-飞机; sj/t1.t901/:t; !sj-时间, 将时间离散化;endsetsdata: v=800; PI=3 !第一组数据; x0=60,70,80,50,40,0; y0=100,100,100,100,100,40; zt0=270,2

17、70,270,270,270,0; !第二组数据; !x0=60,60,60,60,60,0; !y0=80,70,60,90,100,60; !zt0=180,180,180,180,180,0; !第三组数据; !x0=0,55,90,40,80,0; !y0=70,5,60,130,5,60; !zt0=0,90,180,270,180,0;enddata!min=sum(fj:abs(dzt); !目标函数;min=sum(fj:abs(dzt*dzt); !目标函数;for(sj(k):t(k)=(k-1)/3000);for(fj:bnd(-10,dzt,10); !限制偏差角的变

18、化范围; for(fj:zt1=zt0+dzt);for(sj(k):for(fj(i)|i#lt#6:for(fj(j)|j#gt#i: (x0(i)-x0(j)+v*t(k)*(cos(zt1(i)*PI/180)-cos(zt1(j)*PI/180)2 +(y0(i)-y0(j)+v*t(k)*(sin(zt1(i)*PI/180)-sin(zt1(j)*Pi/180)2=64);endmodel:sets: fj/p1.p6/:zt,zt0,dzt,zt1,x0,y0; !fj-飞机; links(fj,fj):c,s,dx,dy;endsetsdata: x0=150,85,150,145,130,0; y0=140,85,155,50,150,0; zt=243,236,220.5,159,230,52; v=800;enddatamin=sum(fj:abs(dzt); !目标函数;for(fj:bnd(-0.