Homework Answers
![(b) Ano 2 ::- ;C=0 Soly finding Transfer function TF = C[SI-AJB (S1-A) = ( soon to 2 on Is 207 To sol-1120/= 5-2 o Ilo 0S] L-](http://img.homeworklib.com/questions/574ac3b0-adc9-11ea-b4a4-f774465dfd28.png?x-oss-process=image/resize,w_560)
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please solve 8-14
8-13. Given the dynamic equations ast) = Ax(t)+ Bu(t) y(t)=Cx(t) I 0 2...
*use Taylor expansion Q) Linearize the following model equations: Cold Statis PC IC X=AX(t)+Bu(t)+Td(t) y=Cx(t) Bottinn...
*use Taylor expansion
Q) Linearize the following model equations: Cold Statis PC IC X=AX(t)+Bu(t)+Td(t) y=Cx(t) Bottinn Disturbance stran 14,74 LWCH 14 Th11 Pera - pc,(647x+Pete+,,K VAT) Stirred micing tank requiring level and temperature control.
Solve the following equations for the variables specified. (a) x=43(y−3)+y, for y. (b) ax+b=cx−d, for x....
Solve the following equations for the variables specified. (a) x=43(y−3)+y, for y. (b) ax+b=cx−d, for x. (c) 2KL1/3=Y0, for L. (d) qx−py=m, for y. (e) (1/r−a) / (1/r+b) =c, for r. (f) Y= a(Y−tY−k)+b+I+G0+cY, for Y. SHOW YOUR WORK
Standard state-space representations of LTI systems x(t)-Ax(t)+Bu(t); yt)-Cx(t)+Du(f) Two different systems have the following representations: 0...
Standard state-space representations of LTI systems x(t)-Ax(t)+Bu(t); yt)-Cx(t)+Du(f) Two different systems have the following representations: 0 2 -3 a. Determine the input-output transfer functions for the two systems above. Are they the same? b. Explain the result obtained in part a. c. Determine the poles and zeros of the two systems above
1 1 -2 Given the LTI system -Ax Bu where A3 3 2and B0 a) Check the controllability using i) the c...
1 1 -2 Given the LTI system -Ax Bu where A3 3 2and B0 a) Check the controllability using i) the controllability matrix, and ii) the Hautus-Rosenbrock test. b) Identify the controllable and uncontrollable subspaces, and convert the system to a Kalman con- 0 trollable canonical form c) Suppose that we start from the initial state z(0) (1,1, 1)T. Is there a control u(t) that drives the state to (1(3,-1,1)7 at some time t? Is there a control u(t) that...
Problem 1: Given the transfer function from input u(t) to output y(t), Y (s) U(s) = s 2 − 4s + 3 (s 2 + 6s + 8)(s 2 + 25...
Problem 1: Given the transfer function from input u(t) to output y(t), Y (s) U(s) = s 2 − 4s + 3 (s 2 + 6s + 8)(s 2 + 25) (a) Develop a state space model for this transfer function, in the standard form x˙ = Ax + Bu y = Cx + Du (b) Suppose that zero input is applied, such that u = 0. Perform a modal analysis of the state response for this open-loop system. Your...
Find dy/dx of the next relations Sol: y ylx 1 1-Cx C 2) 1+cx y' (1+cx1-cx a+bx ab 3) y= In Va-bx y's a2-b&#...
Find dy/dx of the next relations
Sol: y ylx 1 1-Cx C 2) 1+cx y' (1+cx1-cx a+bx ab 3) y= In Va-bx y's a2-b'x 4) y= atan (t); x = bcor (t) 6) x+2 7) y = 2v+ 45; donde v 52., W sec X 8)4x+3 8xy+e -e+ 8cos[tan(y)] = 0 arcsec (); x = elog2 (Int) 9) y 10) y sen[tan(x )] 11) y = cos[sen' (x)] cot + 4 12) y 13) y = [sec'(secx))P 14) y [Beae...
(x0,y0), (x1,y1) Using natural cubic spline, how can I get ax^3+bx^2+cx+d formula? (can a, b, c, d=0) Describe explicit...
(x0,y0), (x1,y1) Using natural cubic spline, how can I get
ax^3+bx^2+cx+d formula? (can a, b, c, d=0)
Describe explicitly the natural cubic spline that interpolates a table with only two entries: 0 Give a formula for it. Here, to and t are the knots.
Describe explicitly the natural cubic spline that interpolates a table with only two entries: 0 Give a formula for it. Here, to and t are the knots.
please answer both (12(8 pts) Find parametric equations of the line through the point (2, -1,3) and perpendicular to the line with parametric equations 1-t,y 4- 2t and 3+ t and perpendicular to th...
please answer both
(12(8 pts) Find parametric equations of the line through the point (2, -1,3) and perpendicular to the line with parametric equations 1-t,y 4- 2t and 3+ t and perpendicular to the line with parametric equations 3+t,y 2-t and z 3+2t. (13)(8 pts) Find the unit tangent vector (T(t) for the vector function r(t) - costi+3t j+ 2sin 2t k at the point where t 0
(12(8 pts) Find parametric equations of the line through the point (2,...
2. Consider the National Income model given by the following equations. Y-C-I.-G, = 0 C-a-B(Y -...
2. Consider the National Income model given by the following equations. Y-C-I.-G, = 0 C-a-B(Y - T) = 0 T-y-SY=0 where Y, C, and T are endogenous variables and I., G., a, b, Y, 8 are exogenous and B and 8 are positive fractions. Use Cramer’s Rule to find the effect of a change in G, on Y and C.
Please write code in MATLAB. HW12_4: Solve the system of nonlinear equations over the interval 0 st0.03 using ode45. Display the results on the same graph. Include a legend. x(0)-3, y(0)-2, z(0)-1 ax...
Please write code in MATLAB.
HW12_4: Solve the system of nonlinear equations over the interval 0 st0.03 using ode45. Display the results on the same graph. Include a legend. x(0)-3, y(0)-2, z(0)-1 ax dt dy dz
HW12_4: Solve the system of nonlinear equations over the interval 0 st0.03 using ode45. Display the results on the same graph. Include a legend. x(0)-3, y(0)-2, z(0)-1 ax dt dy dz
*use Taylor expansion
Q) Linearize the following model equations: Cold Statis PC IC X=AX(t)+Bu(t)+Td(t) y=Cx(t) Bottinn Disturbance stran 14,74 LWCH 14 Th11 Pera - pc,(647x+Pete+,,K VAT) Stirred micing tank requiring level and temperature control.
Standard state-space representations of LTI systems x(t)-Ax(t)+Bu(t); yt)-Cx(t)+Du(f) Two different systems have the following representations: 0 2 -3 a. Determine the input-output transfer functions for the two systems above. Are they the same? b. Explain the result obtained in part a. c. Determine the poles and zeros of the two systems above
1 1 -2 Given the LTI system -Ax Bu where A3 3 2and B0 a) Check the controllability using i) the controllability matrix, and ii) the Hautus-Rosenbrock test. b) Identify the controllable and uncontrollable subspaces, and convert the system to a Kalman con- 0 trollable canonical form c) Suppose that we start from the initial state z(0) (1,1, 1)T. Is there a control u(t) that drives the state to (1(3,-1,1)7 at some time t? Is there a control u(t) that...
Find dy/dx of the next relations
Sol: y ylx 1 1-Cx C 2) 1+cx y' (1+cx1-cx a+bx ab 3) y= In Va-bx y's a2-b'x 4) y= atan (t); x = bcor (t) 6) x+2 7) y = 2v+ 45; donde v 52., W sec X 8)4x+3 8xy+e -e+ 8cos[tan(y)] = 0 arcsec (); x = elog2 (Int) 9) y 10) y sen[tan(x )] 11) y = cos[sen' (x)] cot + 4 12) y 13) y = [sec'(secx))P 14) y [Beae...
(x0,y0), (x1,y1) Using natural cubic spline, how can I get
ax^3+bx^2+cx+d formula? (can a, b, c, d=0)
Describe explicitly the natural cubic spline that interpolates a table with only two entries: 0 Give a formula for it. Here, to and t are the knots.
Describe explicitly the natural cubic spline that interpolates a table with only two entries: 0 Give a formula for it. Here, to and t are the knots.
please answer both
(12(8 pts) Find parametric equations of the line through the point (2, -1,3) and perpendicular to the line with parametric equations 1-t,y 4- 2t and 3+ t and perpendicular to the line with parametric equations 3+t,y 2-t and z 3+2t. (13)(8 pts) Find the unit tangent vector (T(t) for the vector function r(t) - costi+3t j+ 2sin 2t k at the point where t 0
(12(8 pts) Find parametric equations of the line through the point (2,...
2. Consider the National Income model given by the following equations. Y-C-I.-G, = 0 C-a-B(Y - T) = 0 T-y-SY=0 where Y, C, and T are endogenous variables and I., G., a, b, Y, 8 are exogenous and B and 8 are positive fractions. Use Cramer’s Rule to find the effect of a change in G, on Y and C.
Please write code in MATLAB.
HW12_4: Solve the system of nonlinear equations over the interval 0 st0.03 using ode45. Display the results on the same graph. Include a legend. x(0)-3, y(0)-2, z(0)-1 ax dt dy dz
HW12_4: Solve the system of nonlinear equations over the interval 0 st0.03 using ode45. Display the results on the same graph. Include a legend. x(0)-3, y(0)-2, z(0)-1 ax dt dy dz
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