Solve the following question of all parts showing steps clearly... Thumbs up will be given

Subject: Digital control

Please using MATLAB provide the code and the outputs and show your calculations, detailed answer will award a thumbs up otherwise thumbs down): 1. Choose any actual plant and its model in state-space model. you can choose any canonical form of the system. 2. Simulate plant using a step input using MATLAB. 3. Based on the last simulation, design the integral control and the system observer that improve the performance of the system Implement the controlled system using the MATLAB. 4. Check the controllability and observability of the systems