ode45 --- Index exceeds matrix dimensions

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THIS IS MY FUNCTION
function dzdt=sisedo(t,x,N,theta,mu,gamma,kappa,ka,ca)
dzdt=[]
for i=1:N
j=(i-1)*6+1
%Equations
dzdt=[dzdt
x(j+1)
(-kappa*(2*x(j)-x(j+6))-(x(j)-x(j+2)-theta*x(j+4)))/mu %-x(j-6)
x(j+3)
-(x(j+2)-x(j)-theta*x(j+4))-Faero(x(j+2),x(j+3),ca,ka)
x(j+5)
(-(2*theta*x(j+4)-x(j+2)+x(j))-Fric(x(j+4),x(j+5),i))/(theta*gamma)];
end
end
THIS IS THE MAIN SCRIPT
%%%%%%Parameters
N=10;
theta=0.001;
mu=1;
gamma=1;
kappa=1;
ka=0.001;
ca=-0.0001;
tspan=[0 3];
x0=zeros(6*N,1);
for j=1:6:6*N
x0(j)=0;
x0(j+1)=1;
x0(j+2)=0;
x0(j+3)=1;
x0(j+4)=0;
x0(j+5)=0;
end
opciones=odeset('abstol',1e-9,'reltol',1e-9)
[t,x]=ode45(@sisedo,tspan,x0,opciones,N,theta,mu,gamma,kappa,ka,ca);
  1 个评论
MANUEL PRECIADO VIDAL ARAGON
Index exceeds matrix dimensions.
Error in sisedo (line 22)
(-kappa*(2*x(j)-x(j+6))-(x(j)-x(j+2)-theta*x(j+4)))/mu %-x(j-6)
Error in odearguments (line 87)
f0 = feval(ode,t0,y0,args{:}); % ODE15I sets args{1} to yp0.
Error in ode45 (line 115)
odearguments(FcnHandlesUsed, solver_name, ode, tspan, y0, options, varargin);
Error in SIMULADOR_N (line 43) %THIS IS THE MAIN SCRIPT
[t,x]=ode45(@sisedo,tspan,x0,opciones,N,theta,mu,gamma,kappa,ka,ca);

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回答(1 个)

Walter Roberson
Walter Roberson 2016-3-10
We cannot test that without Faero and Fric
Your error message is against a line number which exceeds the number of lines of code you show us.
You should be parameterizing the function rather than counting ode45 to pass extra parameters to the function. That behaviour of ode45 has not been documented for over a decade, having been functionally replaced as of MATLAB 5.1.
[t,x]=ode45(@(t,x) sisedo(t,x,N,theta,mu,gamma,kappa,ka,ca),tspan,x0,opciones);
For efficiency your sisedo should be pre-allocating the output instead of growing the output variable.
function dzdt = sisedo(~,x,N,theta,mu,gamma,kappa,ka,ca)
dzdt = zeros(6*N,1);
for i=1:N
j=(i-1)*6+1;
%Equations
dzdt(j:j+5) = [
x(j+1)
(-kappa*(2*x(j)-x(j+6))-(x(j)-x(j+2)-theta*x(j+4)))/mu %-x(j-6)
x(j+3)
-(x(j+2)-x(j)-theta*x(j+4))-Faero(x(j+2),x(j+3),ca,ka)
x(j+5)
(-(2*theta*x(j+4)-x(j+2)+x(j))-Fric(x(j+4),x(j+5),i))/(theta*gamma)];
end
end
As for the out of range:
Your x is defined as being 6*N long. Look at the behaviour when i reaches N in the for loop. j will become (N-1)*6+1 so with N = 10 that would be j = 55, allowing for x(j) = x(55), x(j+1) = x(56), x(j+2) = x(57), x(j+3) = x(58), x(j+4) = x(59), x(j+5) = x(60) . With x being 60 long, x(j+6) = x(61) will not exist. But you have
(-kappa*(2*x(j)-x(j+6))-(x(j)-x(j+2)-theta*x(j+4)))/mu
which refers to x(j+6) so that is always going to be out of bounds when i is maximum. You need to recheck your equations there to figure out why that one term is referring to the "next" group of x values.
  1 个评论
MANUEL PRECIADO VIDAL ARAGON
编辑:Walter Roberson 2016-3-12
I changed the code as you said, but with no result. I have the same errors.
But I understand what you mean. I will try to get a solution in a different way.
The Friction and Faero functions are the followings:
function F=Fric(y,yp,i)
global F0 y0 yp0
deltay=abs(y-y0(i));
if deltay>2
disp('deltay>2, explota')
end
deltaF=2*(1-(1-deltay/2)^(5/2));
F=F0(i)+sign(yp0(i))*deltaF;
if sign(yp)~=sign(yp0(i))
F0(i)=F;
y0(i)=y;
yp0(i)=sign(yp);
end
end
function A=Faero(x,xp,ca,ka)
A=-(ca*xp + ka*x)
end
Thank you very much

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