Question

y’’’(t) + 5y’’(t) + 7y’(t) + 3y(t) = u’(t) + 2u(t) Find a linear state space...

y’’’(t) + 5y’’(t) + 7y’(t) + 3y(t) = u’(t) + 2u(t)

Find a linear state space model.

Clearly define the matrices A, B, C, and D of the matrix form of the state space model

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Define T:R^2 -> R^2 by T(x,y) = (x+3y, -x+5y) and let B' = {(3,1)^T, (1,1)^T}. Find...
Define T:R^2 -> R^2 by T(x,y) = (x+3y, -x+5y) and let B' = {(3,1)^T, (1,1)^T}. Find the matrix A' for T relative to the basis B'.
Consider the vector field →F=〈3x+7y,7x+5y〉F→=〈3x+7y,7x+5y〉 Is this vector field Conservative? yes or no If so: Find...
Consider the vector field →F=〈3x+7y,7x+5y〉F→=〈3x+7y,7x+5y〉 Is this vector field Conservative? yes or no If so: Find a function ff so that →F=∇fF→=∇f f(x,y) =_____ + K Use your answer to evaluate ∫C→F⋅d→r∫CF→⋅dr→ along the curve C: →r(t)=t2→i+t3→j,  0≤t≤3r→(t)=t2i→+t3j→,  0≤t≤3
find the steady state response for the following system: y(k)-0.2y(k-1)+0.26y(k-2)=2u(k-1)-u(k-2) The input u(t) is not given.
find the steady state response for the following system: y(k)-0.2y(k-1)+0.26y(k-2)=2u(k-1)-u(k-2) The input u(t) is not given.
Consider the following linear programming problem: Max 8X + 7Y s.t. 15X + 5Y ≤ 75...
Consider the following linear programming problem: Max 8X + 7Y s.t. 15X + 5Y ≤ 75 10X + 6Y ≤ 60 X + Y ≤ 8 X, Y ≥ 0 The optimal value of the objective function is ________. A)59 B)61 C)58 D)60
Let the linear transformation T: V--->W be such that T (u) = u2 If a, b...
Let the linear transformation T: V--->W be such that T (u) = u2 If a, b are Real. Find T (au + bv) , if u = (x, y) v = (z, w) and uv = (xz-yw, xw + yz) Let the linear transformation T: V---> W be such that T (u) = T (x, y) = (xy, 0) where u = (x, y), with 2, -3. Then, if u = ( 1.0) and v = (0.1). Find the value...
let A be a linear trans. T(x,y)=<-y,3x> find u and v so that t(u+2v)=<-7,0> and t(u-2v)=<5,12>
let A be a linear trans. T(x,y)=<-y,3x> find u and v so that t(u+2v)=<-7,0> and t(u-2v)=<5,12>
Let T(x,y,z) = (13x − 9y + 4z,6x + 5y − 3z) and v = (1,−2,1)....
Let T(x,y,z) = (13x − 9y + 4z,6x + 5y − 3z) and v = (1,−2,1). Find the standard matrix for the linear transformation T and use it to find the image of the vector v (that is, use it to find T(v)).
For the given function u(x, y) = cos(ax) sinh(3y),(a > 0); (a) Find the value of...
For the given function u(x, y) = cos(ax) sinh(3y),(a > 0); (a) Find the value of a such that u(x, y) is harmonic. (b) Find the harmonic conjugate of u(x, y) as v(x, y). (c) Find the analytic function f(z) = u(x, y) + iv(x, y) in terms of z. (d) Find f ′′( π 4 − i) =?
A system is characterised by the equation Y(s) / U(s) = 20(4s +2) / s^2 +...
A system is characterised by the equation Y(s) / U(s) = 20(4s +2) / s^2 + 6s^2 + 8s +2, find the state and output equation and express the result in matrix form. B) Show that G(s) = [ C(SI - A) ^-1 *B +D] U(s)   The question has to do with state space representation for transfer function.
Consider the system of linear equations 2x+y-3z=-7 x+y-z=-1 4x+3y-5z=-9 (a)Represent this system as a matrix A...
Consider the system of linear equations 2x+y-3z=-7 x+y-z=-1 4x+3y-5z=-9 (a)Represent this system as a matrix A (b)Use row operations to transform A into row echelon form Use your answer to (b) to find all non-integer solutions of the system