The continuous-time state-space description of a system is given by [ begin{aligned} & dot{mathbf{x}}(t)=mathbf{A x}(t)+mathbf{B u}(t)
Question:
The continuous-time state-space description of a system is given by
\[
\begin{aligned}
& \dot{\mathbf{x}}(t)=\mathbf{A x}(t)+\mathbf{B u}(t) \\
& \mathbf{y}(t)=\mathbf{C x}(t)+\mathbf{D u}(t)
\end{aligned}
\]
where
\[
\begin{array}{ll}
\mathbf{A}=\left[\begin{array}{ll}
2 & 4 \\
1 & 5
\end{array}ight] & \mathbf{B}=\left[\begin{array}{l}
1 \\
2
\end{array}ight] \\
\mathbf{C}=\left[\begin{array}{ll}
1 & 1
\end{array}ight] & \mathbf{D}=0
\end{array}
\]
Give the corresponding discrete-time state-space description of this system using a sampling time of 0.001 seconds (sampling rate of \(1,000 \mathrm{~Hz}\) ).
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Related Book For
Design And Analysis Of Control Systems Driving The Fourth Industrial Revolution
ISBN: 9781032718804
2nd Edition
Authors: Arthur G O Mutambara
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