11. (15 pts) Use Routh-H urwitz stability criteria; determine the range of the gain K of...
control systems 1) Using Routh Hurwitz Stability Criteria, determine whether the following system of equation is stable or not. a) S4+253+3S2+45+5=0 2) Using the Routh Hurwitz stability criterion, determine the range of K for stability of the following characteristic equation. a) s4+2s8+(4+K)s2+9s+25=0 3)Sketch the root-locus of the following systems a) G(s)H(s) = s(s+1)(s+2) b) G(s)H(s) = 52(8+3.6) K(5+1)
1. Use Routh criteria to determine the stability of G(s) $*+$3+25+1 2. Use Routh Criteria to determine the values of Kp and Ky such that the negative feedback CLTF is stable, R(S) 1 S3 + S2 + S + 1 X(s) Kp + KDS
solve completely Routh Stability Criterion, Steady State Tracking Performance, Feedforward Control, Simulation of DC Motors Problem 1: Consider the following control system: RIS) Y G() cs) Con traller Process The process transfer function is G(s) = Y(s) _ s* +3s' +30s2 + 30s + 200 s+6s s6s +200 U(s) 1.1. Are there any zeros of G(s) in RHP? How many? Use Routh table 1.2. Are there any poles of G(s) in RHP? How many? Use Routh table. Is G(s) stable?...
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)
QS. (a) A system has the transfer function 5+1 G(s) s'+33-10s - 24 Use the Routh-Hurwitz stability check to determine whether this system is stable or not stable, and state why. [10 marks] (b) Consider the system shown in Figure 5.1, where R(s) is the system input, Y(s) is the system output, K, represents a proportional controller, G(s)=- s? +45 +8 1 and - 5 R(5) Y(s) K G(s) H(s) ) Figure 5.1 Determine the range of values of the...
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.)
1. Consider the usual unity-feedback closed-loop control system with a proportional-gain controller Sketch (by hand) and fully label a Nyquist plot with K-1 for each of the plants listed below.Show all your work. Use the Nyquist plot to determine all values of K for which the closed-loop system is stable. Check your answers using the Routh-Hurwitz Stability Test. [15 marks] (a) P(s)-2 (b) P(s)-1s3 (c) P(s) -4-8 s+2 (s-2) (s+10) 1. Consider the usual unity-feedback closed-loop control system with a...
Question 2 System Stability in the s-Domain and in the Frequency Domain: Bode Plots, Root Locus Plots and Routh- Hurwitz Criterion ofStability A unit feedback control system is to be stabilized using a Proportional Controller, as shown in Figure Q2.1. Proportional Controller Process The process transfer function is described as follows: Y(s) G(s) s2 +4s 100 s3 +4s2 5s 2 Figure Q2.1 Your task is to investigate the stability of the closed loop system using s-domain analysis by finding: a)...
Let G,()+3s+5) , K-1 and Ge 1 I Determine the loop transfer function L(s)-KG.G. Use 'margin' command in matlab to generate the Bode Plot for L(s). (a) What are its gain and phase margins (these should be available in the plots). (b) Convert the gain margin in dB to absolute value. (c) For what value of the gain K would the closed loop system become marginally stable? (d) Show that, for this value of K, the closed loop system does...
. S3 G(s) H (s) = K s2 + s-4 For the closed loop system use a Nyquist plot to, a. Classify the stability of the system. b. Find the range of K for a stable system. (analytic by hand) c. Find the value of K for a marginally stable system. (analytic by hand) . S3 G(s) H (s) = K s2 + s-4 For the closed loop system use a Nyquist plot to, a. Classify the stability of the...