report's presentation. You can use this word document as a template of your homework. Problem 1: Obtain the transfer matrix of the following system - Obtain the model that describe the system dynamics. - Linearize the system around the operational point h10 and h20. - Obtain the complete system's transfer matrix. Note: Both thanks have r as a variable. Problem 2: MIMO Process with Decoupled and Coupled Controllers The following equations describe the system dynamics using the transfer matrix representation: - Designa decoupled PD controllers C(5) such that the establishment time of the controlled system is 10s, for a unit step input. - Find the decoupling matrix D(s). - Obtain the coupled controller matrix for the system C(s)=D(s)C(s). - Draw a block diagram of the couple and decoupled controllers and simulate the complete system steps (a) to (c). The simulation editor and Simulink filesmust be linked and work together. - Plot the relevant input-output responses and error signals. Write about the control system's performance