Assignment:
A- For the feedback control system equation
s³ +(1+k) s²+10s+(5+15k)=0
The parameter k must be positive. What is the maximum value k can assume before the system becomes unstable? When k is equal to the maximum value, the system oscillates. Determine the frequency of oscillation.
B- For the feedback control system equation
s³ +(4+k) s²+6s+16+8k =0
The parameter k must be positive. What is the maximum value k can assume before the system becomes unstable? When k is equal to the maximum value, the system oscillates. Determine the frequency of oscillation.
C- The characteristic equation for a feedback control system is
(s+2)(s²+4s+8)+ k =0
Determine the range for k for which the system is stable.