lecture11

lecture11 - % % B747 lateral dynamics % from Etkin and Reid...

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% % B747 lateral dynamics % from Etkin and Reid % Jonathan P. How % 16.333 Fall 2004 % % note Reid definition of positive aileron is different than nelson's on % (6-4) - Reid defines positive Aileron as right A down (pg 86) if 1 Yv=-1.61e4;Yp=0;Yr=0; Lv=-3.062e5;Lp=-1.076e7;Lr=9.925e6; Nv=2.131e5;Np=-1.33e6;Nr=-8.934e6; g=9.81;theta0=0;S=511;cbar=8.324;b=59.64; U0=235.9; m=2.83176e6/g;cbar=8.324;rho=0.3045; Iyy=.449e8;Ixx=.247e8;Izz=.673e8;Ixz=-.212e7; else Yv=-1.103e3;Yp=0;Yr=0; Lv=-6.885e4;Lp=-7.934e6;Lr=7.321e6; Nv=4.79e4;Np=-9.809e5;Nr=-6.590e6; g=32.2;U0=774;Iyy=.331e8;m=636636/g;cbar=27.31;rho=0.0005909; theta0=0;S=5500;b=195.7; Ixx=.183e8;Izz=.497e8;Ixz=-.156e7; end % % nondimensional control derivatives % Cyda=0;Cydr=.1146; Clda=-1.368e-2;Cldr=6.976e-3; Cnda=-1.973e-4;Cndr=-.1257; QdS=1/2*rho*U0^2*S; Yda=QdS*Cyda;Ydr=QdS*Cydr;Lda=QdS*b*Clda;Ldr=QdS*b*Cldr; Nda=QdS*b*Cnda;Ndr=QdS*b*Cndr; Ixxp=(Ixx*Izz-Ixz^2)/Izz; Izzp=(Ixx*Izz-Ixz^2)/Ixx; Ixzp=Ixz/(Ixx*Izz-Ixz^2); % % full lateral derivatives % A=[Yv/m Yp/m (Yr/m-U0) g*cos(theta0); (Lv/Ixxp + Ixzp*Nv) (Lp/Ixxp + Ixzp*Np) (Lr/Ixxp + Ixzp*Nr) 0; (Ixzp*Lv + Nv/Izzp) (Ixzp*Lp + Np/Izzp) (Ixzp*Lr + Nr/Izzp) 0; 0 1 tan(theta0) 0]; B=[1/m 0 0;0 1/Ixxp Ixzp;0 Ixzp 1/Izzp;0 0 0]*[Yda Ydr;Lda Ldr;Nda Ndr]; % % reduced models % A_roll=(Lp/Ixxp + Ixzp*Np); A_dr=[Yv/m -U0;(Ixzp*Lv + Nv/Izzp) (Ixzp*Lr + Nr/Izzp)]; [V,ev]=eig(A);ev=diag(ev);D=V; %rifd(ev) [ev_roll]=eig(A_roll);
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%rifd(ev_roll) [ev_dr]=eig(A_dr); %rifd(ev_dr) % nondimensionalization V(1,:)=V(1,:)/U0; V(2,:)=V(2,:)/(2*U0/b); V(3,:)=V(3,:)/(2*U0/b); for i=1:4 V(:,i)=V(:,i)/V(4,i); end %return C=[eye(4)];
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lecture11 - % % B747 lateral dynamics % from Etkin and Reid...

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