Question

Explain the concept of variable structure control with an example. $\dot{x} = \left[\begin{array}{ccc}0&1&0\\0&0&1\\-2&3&1\end{array}\right] x+ \left[\begin{array}{ccc}0\\0\\1\end{array}\right] u+ \left[\begin{array}{ccc}0\\0\\\sin(t)&\end{array}\right]$ Design a sliding surface for the system to get $\xi=0.8$ and $\omega_n =5$

Answer 1

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