Is my model a correct one -- adding two pid controllers

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ABDUL HASEEB ARIF
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can we add two pid controllers like i have done in my model.thanks
Simulink block diagram of a control loop: two step inputs feed PID blocks labelled Angle Controller and Cart Controller, whose outputs are summed by an Add block into an inverted pendulum block with outputs to scopes labelled pendulum angle, cart position and control signal.
 
:welcome:

You can but it probably won't do what you want. The purpose of a PID (or a PI) is to make the input error signal go to zero. Unless the process is unusual, there is not value of the sum of the two PID outputs that makes both errors go to zero at the same time. If they don't, the PIDs will keep searching and will fail.

Design your layout this way. You have two error signals. Write the equations of the process (not the controllers) needed to make both go to zero.