For the given set of equations, Draw an all-integrator block diagram for equation (2), a. b....
USE THE BRANCH AND BOUND (B&B) ALGORITHM!!!! Please show all the steps, including the branching and the graphs. 362 Chapter 9 nteger Linear Programming 9-56. Develop the B&B tree for each of the following problems. For coaseni xi as the branching variable at node 0. (a) Maximizez 3xi + 2r2 subject to x, x2 2 0 and integer (b) Maximizez2r, + 3x2 subject to 5x 7x2 s 35 x1, x2 0 and integer (c) Maximizezx + x2 subject to 2x1...
70. In each part, find matrices A, x, and b that express the given system of linear equations as a single matrix equation Ax = b, and write out this matrix equation. (a) 2x1- x2+3x3= xi + 3x2 X2-X3= 1 -X1 (b) 4x1 + 4x2 + 4x3 = 4 4x2-2x3 =-2
A third order system of ODE's is defined by the block diagram of Fig. 1. Initial conditions on the states are: x1(0) 1; x2(0)-1; 3(0) 10 1. u 0 Ху X1 -2 -10 .9 Fig. 1. Third Order System of ODE's Derive the system matrix, A, spectral matrix, S, and modal matrix, M, and hence determine the states, x,(t), x2(t), and x3 (C) in response to the initial conditions given above. a) (30 Marks) Select a suitable set of initial...
Q3. A system's behavior is governed by the following transfer function relationships. Draw a block diagram to represent this scenario. X(s) = G($)U(s); Y(s) = H($)U(s); W(S) = M(9)Y(s); Z(s) = P(s)X(s); T(s) = Q(s)Y(s), N(s) = Z(s) + W(s) +T(s)
Draw a signal flow graph from the given block diagram below and find a transfer function Ys X() using Mason's rule. (15 pts)Bke i G3 (s) x(s) G2 (s) - Y(s) → H1 (s) C. H2 (s) 63
Consider the linear system given by the following differential equation y(4) + 3y(3) + 2y + 3y + 2y = ů – u where u = r(t) is the input and y is the output. Do not use MATLAB! a) Find the transfer function of the system (assume zero initial conditions)? b) Is this system stable? Show your work to justify your claim. Note: y(4) is the fourth derivative of y. Hint: Use the Routh-Hurwitz stability criterion! c) Write the...
How to draw a block diagram from transfer function y(s)/x(s) = (4s^2 + 1)/(s + 4)
a 0 0 where a b, and c are positive numbers. Let S be the unit ball whose bounding surface has the equation x-x R3 + R3 be a linear transformation determined by the matrix A= 1 Complete Let 0 b 0 + x 0 0 c parts a and b below. u1 x1 2 ,2 2 a Show that T S is bounded by the ellipsoid with the equation 1 Create a vector u = that is within set...
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...
The state variable model of the two tanks process is given by the equations r1 10 01 r1o 2 0-1 lu Tank 1 Tank 2 Explain the differential equations for the tanks Draw the block diagram for the system model * .Modify the block diagram to realize the system model by first order transfer functions: 1+Ts Determine the controllability and observability of the system model Design a full-state feedback with the eigen values λ-λ2--2 of the closed loop system Design...