A human responds to a visual cue with a physical response,
Chapter 4, Problem 51(choose chapter or problem)
Use MATLAB to simulate the following system and plot the output, y(t), for a step input. Mark on the plot the steady-state value, percent overshoot, and the rise time, peak time, and settling time.
\(\begin{aligned} \dot{\mathbf{x}} & =\left[\begin{array}{rrr} 0 & 1 & 0 \\ -12 & -8 & 1 \\ 0 & 0 & -2 \end{array}\right] \mathbf{x}+\left[\begin{array}{l} 0 \\ 0 \\ 1 \end{array}\right] u(t) \\ y(t) & =\left[\begin{array}{lll} 1 & 1 & 0 \end{array}\right] \mathbf{x} ; \mathbf{x}(0)=\left[\begin{array}{l} 0 \\ 0 \\ 0 \end{array}\right] \end{aligned}\)
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