1. State-Space Representation Given a system represented in state space by: 1 -2 0 Do the...
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1. State-Space Representation Given a system represented in state space by: 1 -2 0 Do the following 0 x = 0 11x + [81] - .0 -1. y=[-11 0]x + [0]u [-5 Y(s) a. Find the transfer function G(s) U(s) b. Check using the Routh-Hurwitz criterion the stability of this system (open loop i.e. without feedback) c. Solve for the time response x(t) and y(t) for a unit step input u(t) and the initial conditions 21 x(0) = 10 1. State-Space Representation Given a system represented in state space by: 1 -2 0 Do the following 0 x = 0 11x + [81] - .0 -1. y=[-11 0]x + [0]u [-5 Y(s) a. Find the transfer function G(s) U(s) b. Check using the Routh-Hurwitz criterion the stability of this system (open loop i.e. without feedback) c. Solve for the time response x(t) and y(t) for a unit step input u(t) and the initial conditions 21 x(0) = 10
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