ELECTRICAL (controls system school project)

HELLO THE PROJECT IS VERY SIMPLE AND IT IS MY SCHOOL PROJECT,,ITS BASED ON DYNAMICS AND OPTIMAL CONTROL(ELECTRICAL ENGG) Try to use Matlab functions as much as possible in your design and simulation to facilitate plotting, simplify computations and avoid numerical errors. THE FILE IS ATTACHED AS A WINZIP [login to view URL] is just an overview i could not copy the euations here ,,all details are attached as zip [login to view URL] project has 2 problems,,,and should be done using matlab.. Problem 1 A linear time invariant plant is given by an equation. (1) What are the open-loop poles? Is the open-loop system stable? (2) Is the system controllable? (3) Hamiltonian Approach (a) Find the unique positive definite solution to the ARE (Algebra Riccati Equation) Hamiltonian Matrix approach. Please provide derivation and computational eigenvalues, eigenvectors, etc. (b) Use the Matlab function ARE to verify your results. (c) Find the steady-state Kalman gain. (d) What is the closed-loop system? Find the closed-loop poles. Is the closed-loop (4) Pole Placement Approach: Find the optimal state-feedback gain by first computing pole positions, followed by pole placement design. (5) Suppose that the initial state is x x x 1 2 3 (0)= 4, (0)= 0, (0)= 5. Perform simulation control, optimal state trajectory. What is the optimal performance in this case? ## Deliverables I want the coder to completely solve the 2 problems i have attached as .zip file...and use matlab to do everything.I Need this in 3 days,,dec 7th or 8th....if u can do it,,,please let me know,, ## Platform Well just see the winzip files,,