I need help on parts B,C,D,E. Please do work by hand or shown matlab equivalent

1.).C 0 1 0 To. Problem 3: Given the continuous LTI system: A = 980 0 -2.8, B = ,C = [100],x(0) = 0 0-100) a. (4 points) Check the Observability of the system. b. (5 points) Design a controller with the poles located at [-20 201,-100). Use Ackermann method to find K. C. (5 points) Design an observer to estimate the closed loop system with the poles at (-100,-101,-150]. Use a proper method to find L. Write out the combined state equations in terms of system and estimator with [0.031 xe(0) =| 0.5 d. (5 points) Use Matlab to plot the initial condition response of open loop states, closed loop states. Compare them and explain. (Use t = 0:1E-6:0.3) e. (6 points) Use Matlab to plot the initial condition response of output feedback states and errors. (Use t = 0:1E- 6:0.3). Explicitly plot and compare x1 vs Xe1, x2 vs Xe2 and x3 vs Xe3. Also plot the errors independently. 1.).C 0 1 0 To. Problem 3: Given the continuous LTI system: A = 980 0 -2.8, B = ,C = [100],x(0) = 0 0-100) a. (4 points) Check the Observability of the system. b. (5 points) Design a controller with the poles located at [-20 201,-100). Use Ackermann method to find K. C. (5 points) Design an observer to estimate the closed loop system with the poles at (-100,-101,-150]. Use a proper method to find L. Write out the combined state equations in terms of system and estimator with [0.031 xe(0) =| 0.5 d. (5 points) Use Matlab to plot the initial condition response of open loop states, closed loop states. Compare them and explain. (Use t = 0:1E-6:0.3) e. (6 points) Use Matlab to plot the initial condition response of output feedback states and errors. (Use t = 0:1E- 6:0.3). Explicitly plot and compare x1 vs Xe1, x2 vs Xe2 and x3 vs Xe3. Also plot the errors independently