Plotting a function of sdpvar

[Yoke Peng Leong]

What is the best way to plot a function of sdpvar?

For example:

x = sdpvar(2,1);

fx = 10*x(1) - 2*x(2);

I want to plot fx for x(1) in between -1 and 1 and x(2) in between -2 and 2. 

[Johan Löfberg]

Not really intended use of YALMIP

[Yoke Peng Leong]

Of course plotting itself is not the intend nor using yalmip as a symbolic tool.

But, how do you plot the result of yalmip then?

For example, if I run solvesos and obtained the coefficients of a polynomial like fx, how do you create the plots of the resulting solution? Is there a way to replace sdpvar with value in bulk (like in vector form) instead of point by point using 'replace'?

[Johan Löfberg]

The only way is to use standard MATLAB code once you have the solution (and note that symbolic display, sdisplay, isn't guaranteed to work as YALMIP really doesn't have any notion of variable names, it only works in simple cases like this)

sdpvar x y

[p,c] = polynomial([x y],4);

solvesos([sos(p), replace(p,[x y],[pi 2]) == 3],[],[],c);

f = sdisplay(replace(p,c,value(c)));

f = f{1};

f = replace(f,'*','.*');

f = replace(f,'^','.^');

f = eval(['@(x,y)' f]);

[X,Y] = meshgrid(-1:0.01:1,-1:0.01:1);

F = f(X,Y);
mesh(X,Y,F);