5) Determine the range of K for which a system with the following characteristics equation is...
3) Using Routh-Hurwitz method find the range of value(s) for K for which the system with the following characteristic equation is stable.
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)
Consider the system shown in Figure 1. Using the Routh-Hurwitz Criterion, determine the range of K for which the system is stable. R(s) Figure 1
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
(30%) Consider a system with the transfer function Y(s) s+6-k (a) Determine the range of parameter k so that the system G(s) is stable. (b) Determine the value of k for which the system becomes marginally stable. (c) Assuming parameter k has the value in part(b) and hence the system is marginally stable, find a bounded input r(t) that results in unbounded output y(t). For this part, specifying the bounded input signal r(t) and a justification is enough Finding v(t)...
5. Answer the following questions regarding the block diagram of the feedback control system. Gm (1) G,(s)= K., Gm (s) = Gy(s)=1, G,(s) = 100+1. Show that the feedback control system is always stable when K. > 0. (2) G(s)=K. Gr(s)= 1817, Gp(s)=1, Gr(s)=e** Use Bode Criterion to determine K range that ensure feedback control system stable (3) Also, Use 1* Padé approximant at time delay in (2) to determine the range of 1-5$ - K at which the feedback...
Q.10- For the system shown in Figure 5 with K (s + 3)(s +5) Gs)s-2)s-4) Find the range of gain, K, which will cause the system to be stable. Cs) Q.11. Draw the Root Locus of the following systems. Find the points of intersection with the real and imaginary axis. 6(s)H(s)- s(s +2) K(s+5) of- Draw the Bode diagram of the following tmamsfer finction. His)- -100 s +12s +21s +10 213- Obtain the phase and gain margins of the system...
2. (8 pts) A system has a characteristic equation s3 Ks2 ( K)s6 0. Using the Routh- Hurwitz criterion, determine the range of K for a stable system.
1. Use the Routh-Hurwitz test to determine if the system described by the following transfer function is stable. If the system is unstable, how many poles are outside the LHP? Use Matlab to check your answers. C() 10-8) R(s) s2 +7s +28 2. Repeat problem 1) above for the system with transfer function C (s) R(5s +Bs+ 40 s2 +2s+4 3. Use the Routh-Hurwitz test to determine if the system described by the following characteristic equation is stable. If the...
b) Following figure shows a block diagram of a control system. Obtain the characteristics equation of the system. [5 marks] Determine the limiting value of K for stability using Routh's criterion. [10 marks] R(S) 20 C(s) 4K S +1 2s+1 0.2 Fig. Q3