ES OR - 83.33 -10 166.67 0 E. - [19] A linearized state-space model of a boost DC-DC converter is given above. Make the desired designs for this system. MATLAB simulation: a-We calculate the state feedback gain that will move the poles of this system to {-8 + j20} values by using Bass-Gura method without using acker or place functions. Show that you recalculate the same calculation with place or acker function and get the same result. b- Obtain the state-space model of the system with state feedback control and draw the unit step response. C- Add integral control to this system and design a Type 1 servo state feedback control system. For the design, select the 3rd pole you will add 3 times faster than the poles specified in (a). d- Obtain the state space model of the type 1 servo state feedback controlled system and draw the unit step response. e-Design an observer for this system with poles of -20, -20). SIMULINK simulation: f-Do (b) using SIMULINK g- Do (d) using SIMULINK. h- Find the unit step response of the system by adding the observer designed in (e) to the Type 1 servo design made in (c). ES OR - 83.33 -10 166.67 0 E. - [19] A linearized state-space model of a boost DC-DC converter is given above. Make the desired designs for this system. MATLAB simulation: a-We calculate the state feedback gain that will move the poles of this system to {-8 + j20} values by using Bass-Gura method without using acker or place functions. Show that you recalculate the same calculation with place or acker function and get the same result. b- Obtain the state-space model of the system with state feedback control and draw the unit step response. C- Add integral control to this system and design a Type 1 servo state feedback control system. For the design, select the 3rd pole you will add 3 times faster than the poles specified in (a). d- Obtain the state space model of the type 1 servo state feedback controlled system and draw the unit step response. e-Design an observer for this system with poles of -20, -20). SIMULINK simulation: f-Do (b) using SIMULINK g- Do (d) using SIMULINK. h- Find the unit step response of the system by adding the observer designed in (e) to the Type 1 servo design made in (c)