engineering recuitment GATE ECE 2023-24 Test Series Control Systems Stability Analysis Routh-Hurwitz Stability Criteria
The following figure shows in block diagram form a scheme for controlling the direction of travel of road vehicle. Engine vehicle dynamics are represented by G(s) and the controller by Gc(s). Instrumentation of direction sensing and error determination is quite fast and its gain factor is included in k.
Determine the necessary condition, linking α the controller parameter and gain k of the engine vehicle part for the overall system to be stable. (for α = 1)
1
k < -45.69
2
k < 288
3
0< k < 201.6
4
No such k exists