It is desired to install a stirred holding tank for a clean fluid with a kinematic viscosity of 1 centiStoke. The control objective is to keep the level in the tank constant employing a combination of feedback and feedforward control. The tank has a diameter of 1 m and a height of 3 m. The flow rate into the tank is coming from another part of the plant and is around 1 m3/min 0.2 m3/min. The flow rate coming into the tank is to be measured with a turbine-based flow rate sensor. A valve is to be installed to manipulate the flow rate out of the tank. A level sensor is to be used for monitoring of the level in the tank. Develop a mathematical model of the process. Propose a control scheme and select hardware and all peripherals to satisfy the control objective. Feel free to assume whatever additional information that you may need and report with all the other assumptions that you are going to make.