We need at least 10 more requests to produce the answer.
0 / 10 have requested this problem solution
The more requests, the faster the answer.
Problem 3 Convert the following ODE to state space: dv(t) 50v(t)ut) dt 1000 Output of the...
An accelerometer can be modeled as a second order dv dv 2 dt Problem 3: system: dt the acceleration. m, c, and k are the physical properties o where v is the output voltage and a is m the accelerometer: mass, damping coefficient and stiffiness y. natural fiequency, damping ratio and sensitvity er (a) What of the We were unable to transcribe this image2018 A sinusoid has been sampled poorly. The result is shown belo could independently explain this misrepresentation...
use taylor expansion please to linearize
3 Given the equations of state: dxi/dt -sec(xi +r2) 2, dx2/dt -u + y here y is the output of a system and we consider a XI +π/4, state-space vector, x: Identify locations of stability for this system, where dx/dt = 0. Since we are dealing with trigonometric functions there will be multiple stability points, but notice that your choice should not affect the following sections of this problem Linearize to determine A such...
3 Given the equations of state: dxi/dt -sec(xi +r2) 2, dx2/dt -u + y here y is the output of a system and we consider a XI +π/4, state-space vector, x: Identify locations of stability for this system, where dx/dt = 0. Since we are dealing with trigonometric functions there will be multiple stability points, but notice that your choice should not affect the following sections of this problem Linearize to determine A such that x = Ax A B...
Convert following the transfer function into state space representation (Marks 5) 3 +45² T($) = 54 +52 +7 Convert the following state space into a transfer function. (Marks 5) x = 11 * = x + ( u 21 y = [02]x + [2]u Evaluate the steady-state error of state-space system. (Marks 5) i [ 10] [21. *= 15 2]* +11 y = [ 02]x + [2]u Evaluate the steady-state error of state-space system. (Marks 5) -1 0x+lu x =...
3. (25 points) For parts a & b, determine the state space representation and write the matlab code to solve the transfer function a. The circuit below where the input is v, and the output is Va 500 mF V, LX 0 b. A system is represented by the differential equation below where the output is y() and the input is z(). 440180 + 5y0) 2) d' y(t) dr d y(t) dt ontpm ria bles 2L
3. (25 points) For...
1. A state space linear system is shown below. dx1(t)/dt=x1(t)+x2(t)-x3(t)+u1(t) dx2(t)/dt=--x3(t)-u1(t) dx3(t)/dt=-x3(t)-u2(t) y(t)=-x1(t)+x3(t) (1) Re-write the state space equation as following, determine matrices A, B, C and D dx(t)/at=Ax+Bu y(t)=Cx+Du (2) Determine the matrix Q that is Q=[B A*B (A^2)*B (A^3)*B L (A^(n-1)*B] (3) Determine if the rank of Q is n (n=3) and determine if the system is controllable
A system (a plant) is represented as a state-space model in the form: dt (1) Deduce and draw a simulation diagram for the system. Implement it afterwards in Simulink. For a unit stepin- put, simulate and plot the trajectories in the state space, and the output y(t) of the system, for a set of four different initial conditions: x(0)-[0 ofT,x(0-[1 o, x(0-0 IT,x(0-[0 I]T
A system (a plant) is represented as a state-space model in the form: dt (1) Deduce...
2 A robot-arm drive system for one joint can be represented by the differential equation dv kvt)k2y(t)+ kyi(t) dt position, and i(t) is the control-motor current velocity, y(t) Where v(t) Derive the state-space equation of the system a) (5 marks) b) By using Routh-Hurwitz criterion, determine the conditions for k,k2,and ky so that the system remains stable? (5 marks)
2 A robot-arm drive system for one joint can be represented by the differential equation dv kvt)k2y(t)+ kyi(t) dt position, and...
Determine state-space model of the following ODE 10 -2] L2 ri y(t) = [1 1] T2 10 21 T1 1」 [22 T1 10 -2] Lx2 T2 y(t)= [1 ollzi
3. a) Find a state space representation for a linear system represented by the following differential equation, where v(t) denotes the input and y(1) is the output: b) Consider a linear system represented by the following differential equation, where x() denotes the input and y(t) is the output: )+4()+4y()x(t) i) Write down its transfer function and frequency response function i) What is the form of the steady state response of the above system due to a periodic input that has...