i need b part

a. A system is given by 7x+3x + 2x = u(t). Presume you want a controller that ensures the rise time is no more than 0.1 seconds and that the controlled system is stable. Design a controller to achieve that specification. Justify all design decisions you made. Note: I am interested in your design process, NOT your final result. Do not test your controller and do NOT iterate. (7 marks) b. Presume now that, before you can implement your controller, you are told that the computer that is being used to run the system has a limited sampling rate of 100 samples per second. Discuss whether your controller will still work, and how you might change the design to be better suited to this sampled system. Note: I am not asking you to design the discrete controller! Just discuss how you might do so. (3 marks) a. A system is given by 7x+3x + 2x = u(t). Presume you want a controller that ensures the rise time is no more than 0.1 seconds and that the controlled system is stable. Design a controller to achieve that specification. Justify all design decisions you made. Note: I am interested in your design process, NOT your final result. Do not test your controller and do NOT iterate. (7 marks) b. Presume now that, before you can implement your controller, you are told that the computer that is being used to run the system has a limited sampling rate of 100 samples per second. Discuss whether your controller will still work, and how you might change the design to be better suited to this sampled system. Note: I am not asking you to design the discrete controller! Just discuss how you might do so