how to simulate a chaotic system with controller that have integral of variable state??

Hello . I want to plot a chaotic sys. with a controller with equations below: dx=A*x(t)+B*f(x(t))+u(t)+v(t) u(t)=integral(-10*x)*x-integral(norm2(x))*norm2(x)

x(t) is a 3*1 matrix(multi input)

help me please.... Thank you.