2. (8 pts) A system has a characteristic equation s3 Ks2 ( K)s6 0. Using the...
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)
3) Using Routh-Hurwitz method find the range of value(s) for K for which the system with the following characteristic equation is stable.
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
2. (30)Use Routh-Hurwitz criterion to determine the stability fo characteristic equations. a) (15) 2s6+4s5+2s4-s42s-2-0 b) (15) s3+2s2+s+2-0 2. (30)Use Routh-Hurwitz criterion to determine the stability fo characteristic equations. a) (15) 2s6+4s5+2s4-s42s-2-0 b) (15) s3+2s2+s+2-0
(20 pts) System Design Using Routh-Hurwitz Criterion: one of the reasons we learn Routh-Hurwitz Criterion is that it can help us select the system parameters to make the system stable. In this problem, we will go over this process. Considering a system with the following transfer function: 1. s +2 G(s) = s4 +5s3 2s2 +s + K 1.1 Work out the Routh-Hurwitz table. Note in this case, you will have the unknown parameter K in the table. 1.2 Based...
G(s).H(s)= k.(s^2-4^s+8)/(s3+15s+50s) used Root locus by hand and find K for system to be stable. used Routh-Hurwitz stability by hand and find K for system to be stable.
A system has the characteristic equation: q(s) = s3 + 10s2 + 29s + K = 0 i. Shift the vertical axis to the right by 2 by using s = sn – 2, and determine the value of gain K so that the complex roots are s = -2 ± j.
2. (25 points) Consider the following characteristic equation: $4 +253 + (4 +K)s2 +95 + 25 = 0 Using the Routh stability criterion, determine the range of K for stability.
2. (30)Use Routh-Hurwitz criterion to determine the stability fo characteristic equations. a) (15) 2s6+4s5+2s4-s42s-2-0 b) (15) s3+2s2+s+2-0
Determine if the following systems are stable or unstable and find the range of K using the Routh-Hurwitz criterion