The characteristic equation of a servo system is given by
b0 s 4 + b1 s 3+ b2 s2+ b3 s + b4 = 0
Determine the conditions for stability.
The characteristic equation of a servo system is given by b0 s 4 + b1 s...
please help to solve this. Thank you
B2. The characteristic equation of a system is given below. Determine and explain the stability of the system 4s8s +2+10+3 = 0 B3. For a unity feedback system with the plant G(8) 500 (8 + 20%(2 + 4s +10) find the steady-state error for the following test inputs: a. 150(1) (i.e. 15 x unit step input) b. 151(1) (i.e. 15 x unit ramp input) 151 () (i.e. 15 x unit ramp input) (6...
3. (6 marks) For b1,b2, 63, 64 € R, consider the linear system of equations + 21 + 22 -11 + 22 23 624 = bi 3.13 + 2014 b2 23 + 2:04 b3 603 + 20:24 = 54 *) 21 + 2:01 + 4.22 where 11, 12, 13, 14 ER. (a) Find a system of equations that bı, b2, 63, 64 must satisfy in order for (+) to be consistent. bi [ must satisfy so (+) is (b) Using...
Problem 4. Determine if the following sets B1, B2, B3, B4 and Bs are open, closed, compact or connected. (You don't need to prove your findings here) a) B1 =RQ. b) We define the set B2 iteratively: C1 = [0, 1] C2 =[0,1/4] U [3/4, 1] C3 =[0,1/16] U [3/16, 4/16] U [12/16, 13/16] U [15/16, 1] Then B2 = n Cn. NEN c) B3 = U (2-7,3+"). nn +1 NEN d) f:R+R continuous and V CR closed. B4 =...
6. Consider the following control system. s(s1)(s +3) (a) Derive the characteristic equation of the (closed-loop) system. (b) Determine the range of K for stability using Routh's stability criterion.
Please answer Question 1, parts (a) to (f)
uestion 1: Stabiility of QUBE-Servo Models (a) Consider the QUBE-servo voltage-to-speed plant model Equation shown below. Determine the stability of this plant model from its pole position. Explain clearly why Kt SRmJeq KtKm Gp(s) - KtKmSRmJe KtKm SRmJeq SRmJeq KtKm (b) Consider the same QUBE-servo voltage-to-speed plant model in (a). Now, let it be subjected to a step input. Determine the stability of this open-looped speed system. i.e, the system (speed) output...
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.
You are given vs = A1:72.cos (100t + B1) Vc = A2 · cos (100t + B2) Find vr = Az · cos (100t + B3) with – 180° 5 B3 S 180° + VR . Solve without using a calculator. Given Variables: A1:2V B1:25 degrees A2:2V B2:-20 degrees Determine the following: A3 (V): B3 (degrees):
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)
17. Which formula in B5 will allow you to determine how many years it will take to quadruple your savings at 11% compounded quarterly? a)NPER(B3/B4,0.-BI,B2)/B4 b) NPER(B3/B4,0-B1,B2) c)NPER(B3 B4,0-BI,B2/B4 d)NPER(B3/B4,0-B2,B1) B4 Present Value 2 Future Value 3 Interest Rate 4 Compounding Frequency 5 Number of Years s 3,000 12,000 11% 18. What solution would you get in cell B36? 3s Variable 4 Variable2 35 Variable 3 36 a) 3.333333 b) 1462.96 c) 123.703 d) -2453.85 e) 7606629.6 833 834-835 833/834...
- Consider the matrix equation At = b given by the system 11 2 11 21 + 2:12 + 4.12 + 2.62 13 - 314 = b + 204 = by 13 + 5x4 = 63 + a) Write down the corresponding augmented matrix ( Ab) and use row operations to transform it into a matrix of the form (A b') where the coefficient matrix A' is in reduced row echelon form. (That is, you don't need to put the...