Dynamic similarity occurs when the model and prototype have the same forces acting on them, such as inertial, viscous, and elastic forces. In this case, the forces in both the model and the prototype are proportionally equivalent, allowing for accurate scaling.
Conclusion: Dynamic similarity ensures that the same forces are in play for both the model and the prototype.
Given the process transfer function \[ G_P = \frac{20}{s - 2}, \] and controller transfer function \[ G_C = K_C, \] and assuming the transfer function of all other elements in the control loop are unity, what is the range of \( K_C \) for which the closed-loop response will be stable?
A closed-loop system has the characteristic equation given by: $ s^3 + k s^2 + (k+2) s + 3 = 0 $.
For the system to be stable, the value of $ k $ is: