5. (15 points) Find the range of the gain K for stability of a closed-loop system...
A2. (a) Explain how the open-loop polar plot can be used to assess closed-loop stability by applying Nyquist's stability criterion. Apply Nyquist's stability criterion to determine the stability condition for a closed-loop system that is unstable in the open-loop. [30%] = K (b) An unstable system has transfer function given by G(S) in which the gain K is S(S-2) positive. A derivative compensator H(s) = 0.5s + 1 is inserted in the negative feedback path to form a control loop....
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.)
(10 pts) 2. Determine the range of K for stability of a unity feedback control system whose open-loop transfer function is: K(2s +1) G(s)= s(s-1)(s+2)
3. Given the closed loop transfer fanction bellow find a. The range of K for stability b. The val ue of K for marginally stable system and the frequency of oscillation roots of auxiliary even polynomial to find system poles 5K (s 4) 5 s3 + 16 s2 + (12 +5 K)s + 20 K
Question# 1 (25 points) For a unity feedback system with open loop transfer function K(s+10)(s+20) (s+30)(s2-20s+200) G(s) = Do the following using Matlab: a) Sketch the root locus. b) Find the range of gain, K that makes the system stable c) Find the value of K that yields a damping ratio of 0.707 for the system's closed-loop dominant poles. d) Obtain Ts, Tp, %OS for the closed loop system in part c). e) Find the value of K that yields...
i. Given the closed loop transfèr function bellow find a The range of K for stability b. The value of K for marginally stable system and the frequency of oscillation. Hint: Use the roots of auxiliary even polynomial to find system poles] 5K(s + 4) 5 s3 + 16 s (12+5 K)s 20K 7(s)
1. Given the open-loop transfer function G(s)h(s) find the asymptotes, (b) find the breakaway points, if any, (c) find the range of K for stability and also the ju-axis crossing points, and (d) sketch the root locus. (20 points) K/Ks+1)(s+2)(s+3)(s+4)) where 0 s K < 00, (a) K/[s(s+3)(s2+2s+2)] where o s K < o, (a) locate the For the open-loop transfer function G(s)H(s) asymptotes, (b) find the breakaway points, if any, (c) find the jw-axis crossing points and the gain...
11. (15 pts) Use Routh-H urwitz stability criteria; determine the range of the gain K of the integrative controller that keeps the closed-loop system stable. Y(s) s2 +3s +1
2. From the following Closed-Loop Transfer Function, find the range of Gain K that will cause the system to be stable (10 points), unstable (10 points), marginally stable (10 points), and explain why respectively Assume K>O.[Apply Routh-Hurwitz Criterion NOTE 1: You need to walk me through the solution by displaying the formula and each of the steps. NOTE 2: You should NOT assume values, unless otherwise specified by the problem.
1 In the system C(s) G(s) let Glo) ts Find the range of K for closed-loop stability. let G(s)