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Linear Quadratic Regulator (LQR) Design:
Continuous-time LQR:
Optimal gain K = [10. 5.47722558]
Closed-loop poles: [-2.73861279+1.58113883j -2.73861279-1.58113883j]
Cost matrix P =
[[5.47722558 1. ]
[1. 0.54772256]]
Discrete-time LQR (dt = 0.1s):
Optimal gain K = [7.60447174 4.97764814]
Closed-loop poles: [0.75111759+0.11875296j 0.75111759-0.11875296j]
Stability margin: 0.7604 < 1.0