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variables as xi-yi, x2 y2, x Is 1O and the output is ys(). Determine the state-space...
Exercise 6 Let Yi, Y2, Ys be independent random variables with distribution N (i, i2) for...
Exercise 6 Let Yi, Y2, Ys be independent random variables with distribution N (i, i2) for i = 1, 2, 3 (that is, each is normally distributed with mean mean E(Y) = i and variance V(X) = i2). For each of the following situations, use the Y, i = 1, 2, 3 to construct a statistic with the indicated distribution a) X2 with 3 degrees of freedom b) t distribution with 2 degrees of freedom c) F distribution with 1...
For a Mechanical Engineering System Dynamics class 2. i) Obtain the state model for the reduced-form...
For a Mechanical Engineering
System Dynamics class
2. i) Obtain the state model for the reduced-form model 28 +62 + 12x = 10y(t). Use x, and xz as the state variables. Put the equations in standard form and find [A] and [B] matrices. Given the state variable model x = x; – 5x, + f (1) * = -30x, +10f2(1) where f(t) and f (t) are the inputs, and the output equations y = x, - x2 + f,0 Y2...
3. (25 points) For parts a & b, determine the state space representation and write the matlab cod...
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...
Question 2 (a) Determine whether the discrete time system which has an output y[n] 2*x[n] over...
Question 2 (a) Determine whether the discrete time system which has an output y[n] 2*x[n] over the nterval 010 is linear or not by determining the response yi[n] to the input signalxj[n]- sin( (2*pi / 10 ) * n ) and the response y2[n] to the input signal x2[n] = cos( (2*pi/10 ) * n ). Determine the response y3[n] to the input signal x1n] = xi [n] + x2[n] and compare it with y4[n] = [n] + y2[n] ....
Given a linear time-invariant system in state-space representation: -100 5*+u(t) y=[1 0]x (i) Determine the transfer...
Given a linear time-invariant system in state-space representation: -100 5*+u(t) y=[1 0]x (i) Determine the transfer function of the system. (ii) Build an equivalent mechanical system showing all the parameters. (ii) Derive an expression x(t) for this system for step input. Is the mechanical system over damped, under damped or critically damped system?
Q3. Figure 3 below shows the initial state diagram for a two input (X2, Xi), single output (Z) control system. Design a...
Q3. Figure 3 below shows the initial state diagram for a two input (X2, Xi), single output (Z) control system. Design a Moore asynchronous logic solution addressing the following steps A flow table a) [5 marks] b) A merged flow table (explaining why merging was used, and showing the re-numbered merged states) and the revised merged state diagram [8 marks] Assign state variables, and generate an excitation table, marking transitions from unstable to stable states, making statements regarding the presence...
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...
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
For a mass-spring-damper mechanical systems shown below, x200) K1-1 N/m 0000 -X,(0) K-1 N/m 00004 =...
For a mass-spring-damper mechanical systems shown below, x200) K1-1 N/m 0000 -X,(0) K-1 N/m 00004 = 1 N-s/m fr2 M1=1 kg = 2 N-s/m M2 -1 kg 13 = 1 N-s/m 1. Find the differential equations relating input force f(t) and output displacement xi(t) and x2(C) in the system. (40 marks) (Hint: K, fy and M are spring constant, friction coefficient and mass respectively) 2. Determine the transfer function G(s)= X1(s)/F(s) (20 marks)
The questions are at the bottom. I posted this previously without the information at the top and ...
The questions are at the bottom. I posted this previously
without the information at the top and the answer was missing some
key information.
Consider the electromechanical dynamic system shown in Figure 1(a). It consists of a cart of mass m moving without slipping on a linear ground track. The cart is equipped with an armature-controlled DC motor, which is coupled to a rack and pinion mechanism to convert the rotational motion to translation and to create the driving force...
Reinforcement Problem # 4 (20 pts.) A) Given A state-space system is described: (39)+(7 933) (195)...
Reinforcement Problem # 4 (20 pts.) A) Given A state-space system is described: (39)+(7 933) (195) y = (0 - 1)(**) +(1) B) Determine Step 1: The block diagram representation with x1(0) = x2(0) = 0. Step 2: The transfer function Y(S)/F(s) through block diagram reduction. Step 3: The output value of y(t) due to input f(t) = u(t). Evaluation Criteria Rubric for Reinforcement Problem # 4 Gained Activities Step 1. Step 2. Step 3 Describe the techniques and procedures...
Exercise 6 Let Yi, Y2, Ys be independent random variables with distribution N (i, i2) for i = 1, 2, 3 (that is, each is normally distributed with mean mean E(Y) = i and variance V(X) = i2). For each of the following situations, use the Y, i = 1, 2, 3 to construct a statistic with the indicated distribution a) X2 with 3 degrees of freedom b) t distribution with 2 degrees of freedom c) F distribution with 1...
For a Mechanical Engineering
System Dynamics class
2. i) Obtain the state model for the reduced-form model 28 +62 + 12x = 10y(t). Use x, and xz as the state variables. Put the equations in standard form and find [A] and [B] matrices. Given the state variable model x = x; – 5x, + f (1) * = -30x, +10f2(1) where f(t) and f (t) are the inputs, and the output equations y = x, - x2 + f,0 Y2...
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...
Question 2 (a) Determine whether the discrete time system which has an output y[n] 2*x[n] over the nterval 010 is linear or not by determining the response yi[n] to the input signalxj[n]- sin( (2*pi / 10 ) * n ) and the response y2[n] to the input signal x2[n] = cos( (2*pi/10 ) * n ). Determine the response y3[n] to the input signal x1n] = xi [n] + x2[n] and compare it with y4[n] = [n] + y2[n] ....
Given a linear time-invariant system in state-space representation: -100 5*+u(t) y=[1 0]x (i) Determine the transfer function of the system. (ii) Build an equivalent mechanical system showing all the parameters. (ii) Derive an expression x(t) for this system for step input. Is the mechanical system over damped, under damped or critically damped system?
Q3. Figure 3 below shows the initial state diagram for a two input (X2, Xi), single output (Z) control system. Design a Moore asynchronous logic solution addressing the following steps A flow table a) [5 marks] b) A merged flow table (explaining why merging was used, and showing the re-numbered merged states) and the revised merged state diagram [8 marks] Assign state variables, and generate an excitation table, marking transitions from unstable to stable states, making statements regarding the presence...
For a mass-spring-damper mechanical systems shown below, x200) K1-1 N/m 0000 -X,(0) K-1 N/m 00004 = 1 N-s/m fr2 M1=1 kg = 2 N-s/m M2 -1 kg 13 = 1 N-s/m 1. Find the differential equations relating input force f(t) and output displacement xi(t) and x2(C) in the system. (40 marks) (Hint: K, fy and M are spring constant, friction coefficient and mass respectively) 2. Determine the transfer function G(s)= X1(s)/F(s) (20 marks)
The questions are at the bottom. I posted this previously
without the information at the top and the answer was missing some
key information.
Consider the electromechanical dynamic system shown in Figure 1(a). It consists of a cart of mass m moving without slipping on a linear ground track. The cart is equipped with an armature-controlled DC motor, which is coupled to a rack and pinion mechanism to convert the rotational motion to translation and to create the driving force...
Reinforcement Problem # 4 (20 pts.) A) Given A state-space system is described: (39)+(7 933) (195) y = (0 - 1)(**) +(1) B) Determine Step 1: The block diagram representation with x1(0) = x2(0) = 0. Step 2: The transfer function Y(S)/F(s) through block diagram reduction. Step 3: The output value of y(t) due to input f(t) = u(t). Evaluation Criteria Rubric for Reinforcement Problem # 4 Gained Activities Step 1. Step 2. Step 3 Describe the techniques and procedures...
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