# Error Not enough input arguments using Fmincon with nlcon and linear constraints

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ikram shahzad on 1 Nov 2018
Commented: ikram shahzad on 4 Nov 2018
I am trying to minimize a function say fun using fmincon, it has 18 elements, having linear and non-linear constraints. linear constraints are applied on solution s, s(1) to s(7). and 2 nonlcon constraints are applied on solution s(8) to s(18).optimization is good for linear constraints but shows error using nonlcon function(@test3), not enough input arguments.
C_test_43.csv, file is required to run this code, it is attached with.
% code
clc
clear
time=50;
C=M(1:time);
Cmax=max(C);
T=10;
n=time/T;
X=zeros(1,n);
X(1,1)=8;
x=zeros(1,time);
x(1,1)=8;
E=1+(25-1).*rand(1,time);
batcharg=1;
Ve=(25-(2*batcharg))/Cmax;
Vt=(25-(2*batcharg))/Cmax;
V=(25-(2*batcharg))/Cmax;
m=11;
fr = 0 + (16.8*10^9-0).*rand(m,time);
fmax=max(fr);
fmax=max(fmax);
p = 0 + (2*10^-3-0).*rand(m,time);
pmax=max(p);
pmax=max(pmax);
Q=rand(1,time);
QD=rand(1,time);
a=0.1;
bb=0.025;
k=7.8*10^-21;
L=6400;
Hm=-50 + (-75-50).*rand(m,time);
phi=0.1;
w=1*10^6;
N=-174;
tau=1;
DL=tau.*fr./L;
D=w.*tau.*log2(1+(Hm.*p)/N.*w);
Td=0+(20-0).*rand(1,time);
vlb=zeros(1,m+7);
vub=zeros(1,m+7);
num=m+7;
energy_ub=1500;
f=zeros(1,num);
% code
fun=@(s)f;
for t=1:time
n=ceil(t/T);
freq=fr(1:m,t);
f(1,1)=X(n);
f(1,2)=x(t);
f(1,3)=V.*C(n);
f(1,4)=Q(t);
f(1,5)=QD(t);
f(1,6)=Ve;
f(1,7)=Vt;
for u=8:m+7
f(1,u)=min(DL(u-7,t)+D(u-7,t),D(u-7,t)+D(u-7,t));
end
i=1;
j=m+7;
Aeq=ones(i,j);
for j=8:m+7
Aeq(i,j)=-1;
end
beq=1;
for j=8:m+7
vlb(j)=0;
vub(j)=fmax;
end
vlb(1)=-batcharg;
vub(1)=batcharg;
vlb(2)=-1;
vub(2)=1;
vub(3)=energy_ub;
vlb(4)=-1;
vub(4)=1;
vlb(5)=-1;
vub(5)=1;
vlb(6)=0;
vub(6)=1000;
vlb(7)=0;
vub(7)=20;
if X(n)>-V*C(n)
vub(1)=1;
else
vlb(1)=-1;
end
if x(t)>-V*C(t)
vub(2)=1;
else
vlb(2)=-1;
end
if Q(t)>-Ve*E(t)
vub(4)=1;
else
vlb(4)=0;
end
if QD(t)>-Vt*Td(t)
vub(5)=1;
else
vlb(5)=0;
end
nonlcon = @test3;
[s,fval]=fmincon(fun,freq,[],[],Aeq,beq,vlb,vub,nonlcon(tau,L,m));
% function for 2 non linear constraints
function [c,ceq] = test3(s,tau,L,m)
for n=8:m+7
ceq(1) =tau.*(s(n)/L);
ceq(2)=w(n).*tau.*log2(1+(Hm.*p)/N.*w(n));
end
c = [];
end
Walter Roberson on 1 Nov 2018
Search for Paramaterizing Functions

Nicolas Schmit on 2 Nov 2018
There are several problems in your code
• You must pass the optimization variable as a argument to the nonlinear constraints.
• The size of Aeq, Beq, vlb and vub do not match the size of the freq vector.
• The cost function must return a scalar.
I suggest you have a look at the examples in the documentation of fmincon.
ikram shahzad on 4 Nov 2018
Thanks Thanks to Walter Roberson. my simulation got successful by defining fun=@(s)X(n)*s(1)+x(t)*s(2)+V*C(n)*s(3)+Q(t)*s(4)+QD(t)*s(5)+Ve*s(6)+Vt*s(7)+f(1,u)*s(u); Thank you very much.

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