can you please solve this question using hand calculation then matlab

and compare between both results

System description: Heat exchanger temperature control is an important process in many industries, such as chemical, petrochemical, and power generation. The purpose of a heat exchanger is to transfer heat from one fluid to another, typically from a hot fluid to a cooler fluid. The temperature control of a heat exchanger is important to ensure that the fluids are heated or cooled to the desired temperature and to prevent any damage to the equipment. To control the temperature of a heat exchanger, you can use a temperature control system that monitors the temperature of the inlet and outlet fluids and adjusts the heat transfer rate to maintain the desired temperature. The control system typically consists of a controller, a valve, heat exchanger, and a temperature sensor, as shown in the figures below. Take the sensor parameter =0. rigure 1: Heat exchanger temperature control Figure 2: The closed-loop system scheme s 1. For C(s)=1, determine the closed-loop state space model using hand calculation. Then, use MATLAB commands tf2ss. Compare both results and give your comments