Construct the root locus for k>0 for the linear control system with the following characteristic equation...

Construct the root locus for k>0 for the linear control system with the following characteristic equation s^3+3*s^2+(K+2)*s+5K=0

b) Using Routh criteria find the range of K to keep the system stable

Expert Solution

Manojponduru answered 4 months ago

Find the value of k for which the equation 3x2+2x+k=0 has distinct and real root.

From 1+K*L(s)=0 L(s) = 1/((s+1)(s+2)(s+10)) Solve for gain K where the root locus passes through the...

From 1+K*L(s)=0 L(s) = 1/((s+1)(s+2)(s+10)) Solve for gain K where the root locus passes through the damping ratio. z=0.176. With out Matlab. Please show all work. Note: I know we need to use some trig and the magnitude criteria but u cannot seem to figure it out. Thank you!

(a) Using the root locus plot shown in figure Q2 (a), find the system damped natural...

(a) Using the root locus plot shown in figure Q2 (a), find the system damped natural frequency ( d) when the system is marginally stable, then find the maximum gain for stable system. [5 Marks ] (b) Using the Root locus plot shown in figure Q2 (a), determine the open loop transfer function. [ 5 Marks ] Figure Q2 (a) open-loop Transfer function Root Locus Plot (c) G(s) is an open loop system transfer functions that include an adjustable gain...

How does the construct of locus of control fit into Julian Rotter’s social learning theory?

Find the characteristics and characteristic coordinates, and reduce the following equation to canonical form: for y>0...

Find the characteristics and characteristic coordinates, and reduce the following equation to canonical form: for y>0 only Uxx+yUyy=0

Used to determine the stability of a system by examining the characteristic equation of the transfer...

Used to determine the stability of a system by examining the characteristic equation of the transfer function. States that the number of roots of the characteristic equation with positive real parts is equal to the number of changes of sign of the coefficients in the first column of the array. A. Routh-Hurwitz Criterion B. Polar plot C. Logarithmic plot D. Bode plot

Q1) Plot the root locus for the following systems where the given transfer function is located...

Q1) Plot the root locus for the following systems where the given transfer function is located in a unit negative feedback system, i.e., the characteristic equation is 1+KG(s)=0. Where applicable, the plot should indicate the large gain asymptotes, the angle of departure from complex poles, the angle of arrival at complex zeros, and breakaway points. Verify your answer using MATLAB (“rlocus” command) and show the results obtained from MATLAB. a) G(s) = (s + 4) (s + 2) 2 (s...

Classify the following system with output current given (by the equation below) as linear/non linear i0(t)=...

Classify the following system with output current given (by the equation below) as linear/non linear i0(t)= 5 i1(t) + 8 i2 (t-10) + 0.25 i3 (t+2) Is this linear or non linear

Run a linear regression using Excel’s Data Analysis regression tool. Construct the linear regression equation and...

Run a linear regression using Excel’s Data Analysis regression tool. Construct the linear regression equation and determine the predicted total sales value if the number of promotions is 6. Is there a significant relationship? Clearly explain your reasoning using the regression results. Number of Promotions Total Sales 3 2554 2 1746 11 2755 14 1935 15 2461 4 2727 5 2231 14 2791 12 2557 4 1897 2 2022 7 2673 11 2947 11 1573 14 2980

For the linear system x1+3x2=2 3x1+hx2=k Find values for h and k such that the system...

For the linear system x1+3x2=2 3x1+hx2=k Find values for h and k such that the system has: a) no solution b) a unique solution c) infinitely many solutions

Question