I have the understanding that you have a hardware PID controller which has a delay of 10000 * Ts (where Ts is the sampling time) i.e. u(t-10000*Ts) is fed as input to the plant. In that case you just need to add a ‘Delay’ of 10000 just after the PID controller and before the Plant.
However as per my theoretical knowledge, in case of unstable system (e.g. Water-tank, magnetic levitation etc), if control input is delayed into the plant then error signal will increase constantly, and the system will eventually become out of control. So, you may get some error in Simulink after a certain time in case you are handling unstable system. So, I will recommend you go for a stable system if you want to use the same PID controller.