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Consider the following continuous-time system: X₁ X₁ KH KH X₂ with initial condition x (0) = x₁ = [1 2]¹. 1. [13 marks]
Posted: Tue Jun 07, 2022 12:34 pm
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- Consider The Following Continuous Time System X X Kh Kh X With Initial Condition X 0 X 1 2 1 13 Marks 1 (18.11 KiB) Viewed 39 times
Consider the following continuous-time system: X₁ X₁ KH KH X₂ with initial condition x (0) = x₁ = [1 2]¹. 1. [13 marks] Design the infinite-horizon continuous-time LQR controller u = -Kx for this system with the following performance index function Ju(xo, 0) = (3u² + x² + 2x²) dt. 2. [2 marks] Determine the eigenvalues of the closed-loop system.