1. (20 points) For the following continuous-time system c= ? 11-+00 u y=[o 1] x (a) (5 points) Design a state feedback c
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1. (20 points) For the following continuous-time system c= ? 11-+00 u y=[o 1] x (a) (5 points) Design a state feedback c
1. (20 points) For the following continuous-time system c= ? 11-+00 u y=[o 1] x (a) (5 points) Design a state feedback controller matrix K that places the poles at s = -0.5 0.5j. (b) (5 points) If the state feedback controller matrix is K = [1 k] for some scalar k, is it possible to stabilize the system? If so, determine the range of k that can stabilize the system.
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