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Given the unity feedback system of Figure 1, find the following The range of K that keeps the system stable The value of K that makes the system oscillate The frequency of oscillation when K is set to the value that makes the system oscillate with: K(s-1)(s-2) (s+2)(s2+2s + 2) G(s) C(s) R(s) E(s) + G(s) Figure: 1
Given the unity feedback system of Figure 1, find the following The range of K that keeps the system stable The value...
a) Determine the range of K to keep the system shown in Figure 3 (a) stable. R(S) Eys) C's) 32 +25+1 Figure 3 (a) 16 marks b) Given the unity feedback system of Figure 3 (b) where, G() = K(s+25+6) s? +8s +25 C) 6) Figure 3 (b) Sketch the root locus for the unity feedback system shown in Figure 3 (b). [14 marks
Determine if the following systems are stable or unstable and find the range of K using the Routh-Hurwitz criterion
Automatic Control
In unity feedback system with Gs) (s-IXs-2) With out controller, is this system stable, and why? For Gc K (proportional control) sketch the root locus. Find the range of K to make the system stable. Determine the range of K, so that the system has no overshoot Determine the range of K for steady state error to unit step input less than 20% a) b) c) d) e)
In unity feedback system with Gs) (s-IXs-2) With out controller,...
For the system of Figure P1: 1. a) Find the range of K for stability. b) Find the value of K for marginal stability. c) Find the actual location of the closed-loop poles when the system is marginally stable. Cis) s(s+i)(s+2)6+5)
5. (15 points) Find the range of the gain K for stability of a closed-loop system with the following open- loop transfer function K G(s)H(s) s(s+1)(2s +1)
3) Using Routh-Hurwitz method find the range of value(s) for K for which the system with the following characteristic equation is stable.
1) Use Lyapunov stability criterion to find range of K for which a proportional feedback system with gain K and an open loop transfer function G(S) = 1/(S2+S-20) is stable. (12 pts.)