Recall the state space representation above. Given the differential equation below, what is the number in B(4,1) (rows, columns).
5y'''' + 25y''' - 10y'' + 12y' + 100y = u
Recall the state space representation above. Given the differential equation below, what is the number in...
I tried to solve this problem by using Simulink:
Here was my attempt using the state-space block in Simulink:
Unfortunately, I got this error:
please help me. this is pretty urgent!
Symbol Ks Value 9015 Suspension parameters spring stiffness coefficient damping coefficient tire stiffness coefficient Sprung mass Un-sprung mass Unit N/m Ns/m2031 N/m Kg Kg 41815 295 39 Lul ANALYTICAL SOLUTION (STATE SPACE MODEL) FOR LINEAR SUSPENSION SYSTEM dx1 dx2 dx3 Ks/ Ms Ks/ Ms Y=Cx + Du x4 We...
Q3. The state-space representation of a dynamical system is given as follows: (2) (y = 2 x 1. By finding the eigenvalues, eigenvectors of the A matrix, compute el via the diagonal transformation. 2. Assume that the control input is u(t) = 0, compute x(1) and y(t). 3. Assume that the input is u(t) = 1 + 2e-21, compute x(t) and y(t). 4. Given your answers to the previous question, compute x(t) when 1 00
Please only solve part C
Assume the following state space representation of a discrete-time servomotor system. (As a review for the Final Exam, you might check this state space representation with the difference equation in Problem 1 on Homework 2. This parenthetical comment is not a required part for Homework 8.) 2. 0.048371 u(n) 1.9048x(n) lo.04679 [1,0]x(n) y(n) Compute the open-loop eigenvalues of the system. That is, find the eigenvalues of Ф. Check controllability of the system. Or, answer the...
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
3. For the non-ideal buck converter in Fig. 3, 1) Derive the state space model with state variable vector X as (it, vc), input variable vector U as (vi, io), output variable vector Y as vo. Derive the coefficient matrices in the model below. Note that duty cycle should be considered and included. dt ) di di dt 2)Select the line of a L, ie., a L-4-i, +A2Mz + Bı'y4B12%.and use perturbation-and- dt linearization approach to derive its small-signal representation....
Consider the state equation
3. Consider the state equation dt -2 -31 x2(t) dt Determine the state-transition matrix ф(t) and the state vector x(t) for t 2 0 when the input is u(t) 1 for t 20.
3. Consider the state equation dt -2 -31 x2(t) dt Determine the state-transition matrix ф(t) and the state vector x(t) for t 2 0 when the input is u(t) 1 for t 20.
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...
Problem 4: (65 points) Let a system be given by the state space representation 8 8 10 * = X+ u(t), y = [1 -1]x – u(t) 1 1 -1 0 Y(S) d) (7) Find the transfer function US) e) (5) Is the system BIBO stable? 3 f) (9) Let the initial state x(0) -3 u(t) = 0) for all t > 0. = Find the zero input response (i.e., with the input
Problem 6 State space representation of motor - driven cart with inverted pendulum You are given that the cart carrying the inverted pendulum shown in the figure below is driven by an electric motor powering one pair of wheels so that the whole cart, pendulum and all, becomes the load on the motor. z is the cart position, M is its mass, θ is the pendulum angle with respect to the vertical, I its length, and m its mass. The...
Given the System described by the differential equation below: D^2 y(t) + 3 Dy(t) + 2y(t) = x(t) where D=d/dt and D^2 is the second derivative 1) find its Transfer Function H(s) (assume all initial conditions are zero) 2) use the first procedural way of getting A, B, C, D from H(s) to find the corresponding state space representations . Then do the reverse step of finding H(s) from the A, B, C, D representation just found (i.e. check that...