Consider the system x = 0 -1 -2 -3 1 1 x + U, y = x2. 0 Design a dynamic output feedback controller (observer plus estimated state feedback). The controller should have closed loop poles placed at -10, -105j, while the observer poles should be at -20, -20+2j. Find the controller gain and observer gains and write down the state-space model of the controller. Simulate the response of your system in MATLAB or Python, using initial conditions xo = [1, 1, 1] for the plant dynamics and to = [0, 0, 0] for the observer. If the real parts of the desired closed-loop poles were -100 instead of -10, what would happen to the control gains? Give a conceptual answer to this question, without making any extra calculations.