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Part(b) has been solved and solution has been attached, find the same.
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Problem 1. Optimal Control. (30 pts.) a) Write 1-2...
Could you please try to explain to me how we get the solution because I want...
Could you please try to explain to me how we get the
solution because I want to understand the solution so that to be
solved step by step including all of the details
If the conditions for a time-invariant optimal control law are satisfied by a linear regulator problem, the constant K matrix must be a solution of the nonlinear algebraic equations Using this result, determine the optimal control laws for: a) The first-order system x(t)-ax(t) + u (t) with...
ELE480/580: Control Systems II Homework #6 Due: 4/29/2019 1. Consider a state equation with 0 0-2...
please answer all
ELE480/580: Control Systems II Homework #6 Due: 4/29/2019 1. Consider a state equation with 0 0-2 B 1C [0 0 1] A1 0 1 0 1 -3 0 Find the observer gain matrix L that places all three observer eigenvalues at -5. Write the state equation that defines the observer 2. For the state equation defined by the following state matrices x(t) 1 01x,(t)[1 h(t) | = | 0 0 111X2(t) | + | | | u(t)...
1. (6 points) Find an optimal solution for the following transportation problem using the minimal...
1. (6 points) Find an optimal solution for the following transportation problem using the minimal cost method and the transportation algorithm: Minimize lahi + 2x12 + 2x13 + 4x21 + 3x22 + 4x23 + 4x31 + 1x32 + 3x33, subject to the constraints X11 + X12 + X13 = 100. x21 +x22 +x23 = 50. r31 + 232 +x33 100 x11 + 2'21 +2'3,-150. 12 22+32-50 x13 + x23 + x33-50. for all i, j = 1.2.3. xij > 0,...
Problem 1: Consider the control systems below and answer the questions listed: I. Manually Controlled Tank Level S...
Problem 1: Consider the control systems below and answer the questions listed: I. Manually Controlled Tank Level System A. Identify the following parameters: 1. Setpoint or reference point: 2. Controlled variable, c Manipulated variable, u Measured representation of the controlled variable, b 3. 4. 5. Error, e 6. Input signal to the control element, p Identify the following elements in the control B. system 1. Error detector 2. Controller 3. Control element 4. Process S. Measurement Element C. Draw a...
4. (20 pts) Suppose the boundary-value problem y" – y=x, 0 < x < 1; y(0)...
4. (20 pts) Suppose the boundary-value problem y" – y=x, 0 < x < 1; y(0) = y'(1) = 0 Let h = 1/n, X; = jh, where j = 0,1,..., n and u; y(x;). Consider two "exterior" mesh points 2-1 = -h and 2n+1 = 1+h. Write out an 0(ha) approximate linear tridiagonal system for {u}. Hint: Let u-1 = y(x-1) = y(-h) and Un+1 = y(2n+1) = y(1 + h). Then using f(a+h) – f(a – h). f'(a)...
Due in 2 hr (a) Use Octave as a Calculator to answer this question Suppose that A and B are two 8 × 9 matrices. The (i, j)-entry of the matrix B is given by i *j -1. The (i,j)-entry of the mat...
Due in 2 hr
(a) Use Octave as a Calculator to answer this question Suppose that A and B are two 8 × 9 matrices. The (i, j)-entry of the matrix B is given by i *j -1. The (i,j)-entry of the matrix A equals 0 if i +j is divisible by 5 and equals the (i,j)-entry of the matrix B otherwise. i. What are the rank and nullity of matrices A and B? Is vector u =[964,-71,4249, 59, 234,-196.97]...
LP PROBLEM PLEASE EXPLAIN thanks Search 3:30 Str1+2 + 23 + 4 2 + 35 (A) Calculate the optimal solution. Write the basis change in the optimal solution . (B) Find Inverse matrix B-1 of the optimal...
LP
PROBLEM PLEASE EXPLAIN
thanks
Search 3:30 Str1+2 + 23 + 4 2 + 35 (A) Calculate the optimal solution. Write the basis change in the optimal solution . (B) Find Inverse matrix B-1 of the optimal basis matrix C.) Consider increasing the constant on the right side of one constraint by 1. At that time, the smallest value of the objective function decreases most when the constant of the constraint is increased? D.) Find the range of t such...
PLEASE DO IN MATLAB Problem 8 (PID feedback control). This problem is about Proportional-Integral-Derivative feedback control...
PLEASE DO IN MATLAB
Problem 8 (PID feedback control). This problem is about Proportional-Integral-Derivative feedback control systems. The general setup of the system we are going to look at is given below: e(t) u(t) |C(s) y(t) P(s) r(t) Here the various signals are: signal/system r(t) y(t) e(t) P(s) C(s) и(t) meaning desired output signal actual output signal error signal r(t) y(t) Laplace transform of the (unstable) plant controller to be designed control signal Our goal is to design a controller...
If you could answer only a, and b. I just want to verify if my work is correct. Problem 1. Let X and Y be continuous ra...
If you could answer only a, and b. I just want to verify if my
work is correct.
Problem 1. Let X and Y be continuous random variables with joint probability density function given by Ca2 if2 0, z <4,z 2 -y, and z 2 y/2 f(,oherwise. (a) The marginal density, fy (), of Y. (Be explicit about all cases.) (b) The conditional density, fxiy(2), of X given Y- 2. Be explicit about all cases! (c) P(X > 3 |...
The figure for 4-52 is the image below. Solve problem B-4-10. Then answer the following: 1. If the head h is the input...
The figure for 4-52 is the image below.
Solve problem B-4-10. Then answer the following: 1. If the head h is the input to the hydraulic controller and the output from the controller is y, derive the transfer function of the controller? 2. What is the control action of this controller? Screen Shot 2019-06-03 at 10.49.13 PM Q Search B-4-10. Consider the liquid-level control Figure 4-52. The inlet valve is controlled by a hydraulic integral controller. Assume that the steady-state...
Could you please try to explain to me how we get the
solution because I want to understand the solution so that to be
solved step by step including all of the details
If the conditions for a time-invariant optimal control law are satisfied by a linear regulator problem, the constant K matrix must be a solution of the nonlinear algebraic equations Using this result, determine the optimal control laws for: a) The first-order system x(t)-ax(t) + u (t) with...
please answer all
ELE480/580: Control Systems II Homework #6 Due: 4/29/2019 1. Consider a state equation with 0 0-2 B 1C [0 0 1] A1 0 1 0 1 -3 0 Find the observer gain matrix L that places all three observer eigenvalues at -5. Write the state equation that defines the observer 2. For the state equation defined by the following state matrices x(t) 1 01x,(t)[1 h(t) | = | 0 0 111X2(t) | + | | | u(t)...
1. (6 points) Find an optimal solution for the following transportation problem using the minimal cost method and the transportation algorithm: Minimize lahi + 2x12 + 2x13 + 4x21 + 3x22 + 4x23 + 4x31 + 1x32 + 3x33, subject to the constraints X11 + X12 + X13 = 100. x21 +x22 +x23 = 50. r31 + 232 +x33 100 x11 + 2'21 +2'3,-150. 12 22+32-50 x13 + x23 + x33-50. for all i, j = 1.2.3. xij > 0,...
Problem 1: Consider the control systems below and answer the questions listed: I. Manually Controlled Tank Level System A. Identify the following parameters: 1. Setpoint or reference point: 2. Controlled variable, c Manipulated variable, u Measured representation of the controlled variable, b 3. 4. 5. Error, e 6. Input signal to the control element, p Identify the following elements in the control B. system 1. Error detector 2. Controller 3. Control element 4. Process S. Measurement Element C. Draw a...
4. (20 pts) Suppose the boundary-value problem y" – y=x, 0 < x < 1; y(0) = y'(1) = 0 Let h = 1/n, X; = jh, where j = 0,1,..., n and u; y(x;). Consider two "exterior" mesh points 2-1 = -h and 2n+1 = 1+h. Write out an 0(ha) approximate linear tridiagonal system for {u}. Hint: Let u-1 = y(x-1) = y(-h) and Un+1 = y(2n+1) = y(1 + h). Then using f(a+h) – f(a – h). f'(a)...
Due in 2 hr
(a) Use Octave as a Calculator to answer this question Suppose that A and B are two 8 × 9 matrices. The (i, j)-entry of the matrix B is given by i *j -1. The (i,j)-entry of the matrix A equals 0 if i +j is divisible by 5 and equals the (i,j)-entry of the matrix B otherwise. i. What are the rank and nullity of matrices A and B? Is vector u =[964,-71,4249, 59, 234,-196.97]...
LP
PROBLEM PLEASE EXPLAIN
thanks
Search 3:30 Str1+2 + 23 + 4 2 + 35 (A) Calculate the optimal solution. Write the basis change in the optimal solution . (B) Find Inverse matrix B-1 of the optimal basis matrix C.) Consider increasing the constant on the right side of one constraint by 1. At that time, the smallest value of the objective function decreases most when the constant of the constraint is increased? D.) Find the range of t such...
PLEASE DO IN MATLAB
Problem 8 (PID feedback control). This problem is about Proportional-Integral-Derivative feedback control systems. The general setup of the system we are going to look at is given below: e(t) u(t) |C(s) y(t) P(s) r(t) Here the various signals are: signal/system r(t) y(t) e(t) P(s) C(s) и(t) meaning desired output signal actual output signal error signal r(t) y(t) Laplace transform of the (unstable) plant controller to be designed control signal Our goal is to design a controller...
If you could answer only a, and b. I just want to verify if my
work is correct.
Problem 1. Let X and Y be continuous random variables with joint probability density function given by Ca2 if2 0, z <4,z 2 -y, and z 2 y/2 f(,oherwise. (a) The marginal density, fy (), of Y. (Be explicit about all cases.) (b) The conditional density, fxiy(2), of X given Y- 2. Be explicit about all cases! (c) P(X > 3 |...
The figure for 4-52 is the image below.
Solve problem B-4-10. Then answer the following: 1. If the head h is the input to the hydraulic controller and the output from the controller is y, derive the transfer function of the controller? 2. What is the control action of this controller? Screen Shot 2019-06-03 at 10.49.13 PM Q Search B-4-10. Consider the liquid-level control Figure 4-52. The inlet valve is controlled by a hydraulic integral controller. Assume that the steady-state...
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