ECE question
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.
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Construct Routh array and determine the stability of the system whose characteristic equation is s6 +2s5...
Construct Routh array and determine the stability of the system whose characteristic equation is s6 +2s5 8s12s3 +20s2 +16s16 0. Also, determine the number of roots lying on right half of s-plane, left half of s-plane and on imaginary axis. 11) com
QUESTION ONE (a) Determine the stability of the system whose overall transfer function is given below;...
QUESTION ONE (a) Determine the stability of the system whose overall transfer function is given below; 2s +5 55 +1.554 +253 +4s+55 +10 If the system is found unstable, how many roots has it has with positive real parts? (b) Determine the stability of a closed-loop control system whose characteristics equation is; ss +54 +253 +252 +11S + 10 = 0 (20 marks)
use 5 digits pls thx 2. (Complez Numbers: Quadratic Equations; Scientific Calculators). Solve the quadratic equation 22 -(1-3i): -22 +3i- and verify your answer with Wa by using the command solve...
use 5 digits pls thx
2. (Complez Numbers: Quadratic Equations; Scientific Calculators). Solve the quadratic equation 22 -(1-3i): -22 +3i- and verify your answer with Wa by using the command solve z"2-(1-31) -22+31 #0 z 3. (Complez Numbers: Extraction of Roots; Scientific Calculators). Use a scientific calculator to find approximations of all seven roots of degree seven of the complex number and show them on the complex plane (approximations of the real and imaginary parts of all the roots must...
please use matlab etch the Nyquist plot based on the Bode plots for each of the following systems, and then compa...
please use matlab
etch the Nyquist plot based on the Bode plots for each of the following systems, and then compare your result with that obtained by using the Matlab command nyquist: Don't be concerned with the details of exactly where the curve goes, but do make sure it crosses the real axis at the right spot, has the correct number of -1 encirclements, and goes off to infinity in the correct direction. 6.19 Sk K(0.5 (a) GH(s) K (4s+1)...
Consider the following Fifth roots of 32 Cos 1 32(cos 2* * is 2) (a) Use...
Consider the following Fifth roots of 32 Cos 1 32(cos 2* * is 2) (a) Use the formula 2 - Viſcos @ + 24k + 2 + / sin to find the indicated roots of the complex number (Enter your answers in trigonometric form. Letos 0 < 20.) n 20- (6) Write each of the roots in standard form. (Round all numerical values to four decimal places.) Po 24- (c) Represent each of the roots graphically. Imaginary axis 5r Imaginary...
please do part D only the matlab. thank you 3. Consider the following system s(s2 +4s...
please do part D only the matlab. thank you
3. Consider the following system s(s2 +4s 13) (a) Draw the root locus. b) Use Routh's criterion to find the range of the gain K for which the closed-loop system is stable. (continued on next page) (c) The range of K for which the system is stable can also be obtained by finding a point of the root locus that crosses the Imaginary axis. When you have an Im-axis crossing, the...
Q2 (a) List down THREE (3) important requirements to design a control system. (3 marks) State...
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,...
2. Applying the Routh-Hurwitz criterion can obtain the number of the roots of f (s) 0...
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,...
Exercise 10 (8 Marks) Given the open loop transfer function of a system: KH(S) = K...
Exercise 10 (8 Marks) Given the open loop transfer function of a system: KH(S) = K s(s +3Xs? +2s +2) Draw manually the root locus plot for the system and determine: a) The number of branches. b) The starting and ending points of all the branches. c) The location of the centroid d) The range of K to keep this and angles of asymplotes. e) The intersections of the root loci with the imaginary axis and the corresponding value of...
Please work out so I can verify I've done it correctly. Thanks 3. Consider a system...
Please work out so I can verify I've done it correctly.
Thanks
3. Consider a system with the following state equation h(t)] 1-2-1-3] 1x3(t)] 11 Use MATLAB to (a) Let 0-13x3 and solve the Lyapunov equation to find P matrix (use lyap command. Note that this command takes A and Q as its inputs, not A and Q) whether the state equation is asymptotically stable or not. eigenvalues. Does the result match your answer to part (b)? (b) Find the...
Construct Routh array and determine the stability of the system whose characteristic equation is s6 +2s5 8s12s3 +20s2 +16s16 0. Also, determine the number of roots lying on right half of s-plane, left half of s-plane and on imaginary axis. 11) com
QUESTION ONE (a) Determine the stability of the system whose overall transfer function is given below; 2s +5 55 +1.554 +253 +4s+55 +10 If the system is found unstable, how many roots has it has with positive real parts? (b) Determine the stability of a closed-loop control system whose characteristics equation is; ss +54 +253 +252 +11S + 10 = 0 (20 marks)
use 5 digits pls thx
2. (Complez Numbers: Quadratic Equations; Scientific Calculators). Solve the quadratic equation 22 -(1-3i): -22 +3i- and verify your answer with Wa by using the command solve z"2-(1-31) -22+31 #0 z 3. (Complez Numbers: Extraction of Roots; Scientific Calculators). Use a scientific calculator to find approximations of all seven roots of degree seven of the complex number and show them on the complex plane (approximations of the real and imaginary parts of all the roots must...
please use matlab
etch the Nyquist plot based on the Bode plots for each of the following systems, and then compare your result with that obtained by using the Matlab command nyquist: Don't be concerned with the details of exactly where the curve goes, but do make sure it crosses the real axis at the right spot, has the correct number of -1 encirclements, and goes off to infinity in the correct direction. 6.19 Sk K(0.5 (a) GH(s) K (4s+1)...
Consider the following Fifth roots of 32 Cos 1 32(cos 2* * is 2) (a) Use the formula 2 - Viſcos @ + 24k + 2 + / sin to find the indicated roots of the complex number (Enter your answers in trigonometric form. Letos 0 < 20.) n 20- (6) Write each of the roots in standard form. (Round all numerical values to four decimal places.) Po 24- (c) Represent each of the roots graphically. Imaginary axis 5r Imaginary...
please do part D only the matlab. thank you
3. Consider the following system s(s2 +4s 13) (a) Draw the root locus. b) Use Routh's criterion to find the range of the gain K for which the closed-loop system is stable. (continued on next page) (c) The range of K for which the system is stable can also be obtained by finding a point of the root locus that crosses the Imaginary axis. When you have an Im-axis crossing, the...
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,...
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,...
Exercise 10 (8 Marks) Given the open loop transfer function of a system: KH(S) = K s(s +3Xs? +2s +2) Draw manually the root locus plot for the system and determine: a) The number of branches. b) The starting and ending points of all the branches. c) The location of the centroid d) The range of K to keep this and angles of asymplotes. e) The intersections of the root loci with the imaginary axis and the corresponding value of...
Please work out so I can verify I've done it correctly.
Thanks
3. Consider a system with the following state equation h(t)] 1-2-1-3] 1x3(t)] 11 Use MATLAB to (a) Let 0-13x3 and solve the Lyapunov equation to find P matrix (use lyap command. Note that this command takes A and Q as its inputs, not A and Q) whether the state equation is asymptotically stable or not. eigenvalues. Does the result match your answer to part (b)? (b) Find the...
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