Construct Routh array and determine the stability of the system whose characteristic equation is s6 +2s5...
1. For the characteristic polynomials given below: Construct a Routh array for each polynomial and determine the number of right-hand-plane and left-hand-plane poles as well as the number of poles on the imaginary axis. Comment on the stability. i. D(s)-1s5 +8s4 +29s3+61s2 +72s +45 ii. D(s) s+8s25s+37s2 +16s-15 ii. D(s)-+6s+18s'+60s+89s2+54s+72
Q2 (a) List down THREE (3) important requirements to design a control system. (3 marks) State the possible consequence when a physical system becomes unstable. (2 marks) (6) (c) Consider the following characteristic Equation shown below: P(s) = 55 +683 + 582 +8s + 20 (1) Construct Routh table for the characteristic Equation. (6 marks) (ii) Using the Routh – Hurwitz criterion, determine the stability of the system. (2 marks) (ii) Determine the numbers of roots on the right half-plane,...
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)
Determine the stability of the system having characteristics equation as s6+s5+5s4+3s3+2s2-4s-8=0 and find the number of roots in the left , right and on the imaginary axis. Use Matlab and verify.
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.
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
Will leave positive reviews 3. (25 marks) A system has a characteristic polynomial 45 +20s49 101s2 +2s +24 Using the Routh-Hurwitz criterion, determine the number of poles in the left half plane, the number on the jw-axis and the number in the right half plane.
Question 2: By using Routh Hurwitz tabulation method, determine whether the unity feedback system of Figure 2 is stable if 240 G(s)- R(S) + G(S) Figure 2 a. How many poles are in the right half-plane, left-half in the system? b. Verify the system stability by using vissim simulation
The open loop transfer function of a unity feedback system is 1. G(s)32 2s4 +5s3+s2 +2s Using Routh - Hurwitz criteria, (i) (ii) Determine the stability of the system. Find how many roots are lying in the left hand side and right hand side of the s-plane.
2. Applying the Routh-Hurwitz criterion can obtain the number of the roots of f (s) 0 with a positive real part. The Routh-Hurwitz criterion can also be applied to find that how many roots have a real part greater than -a. This principle is exercised in this problem Given a characteristic equation: f(s) 3 4s2 3s10 0 Eq(1) By substituting sı = s + α (i.e., s = sı-α) into Eq (1) and apply the Routh-Hurwitz criterion on f(s) 0,...