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I Write the shown below. 1 le state and output equations for the network Also, obtain...
i) Obtain the state model for the reduced-form model 2x + 68 + 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; – 5x, + f(t) , where fi(t) and f (t) are the inputs, *, = -30x, +10/20 and the output equations y = x; – x2 + f,0 y2 = x2 Y; = -x + f20 obtain the...
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...
2. i) Obtain the state model for the reduced-form model 28 + 61 + 12x = 10y(t). Use x, and xz as the state variables. Put the equations in standard form and find [A] and [B] matrices. ii) where f (t) and f (t) are the inputs, Given the state-variable model i; = x; – 5x, +f,(t) * = -30x, +10f20) and the output equations Y; = x; – x2 + f (0) Y2 = x2 Yz = -x +...
For the given RC circuit shown below, ys the output, and ut) is the input. Values of the components are marked on schematic i) Derive the system differential equation and transfer function Y(s)/U(s) ii) Choose voltage across capacitors as states and derive the state equations and state matrices (A, B, C,and D). iii) Validate the states by deriving the transfer function from state matrices. iv) Choose a different set of states and derive a different state equation and state Matrix...
Obtain the state model for the reduced-form model 2x + 6x + 12x = 10y(t). Use x; and.x, as the state variables. Put the equations in standard form and find [A] and [B] matrices. whereſ (1) and S(1) are the inputs, ii) Given the state-variable model *; = x; - 5x, +1,0 , = -30x, +10/20 and the output equations y = x; – X, +1,0) Y2 = x Y = -x; + f₂ (1) obtain the expressions for the...
a) [15 marks] Write the differential equations that describe the behavior of the electrical system shown in Figure 1. Assume that all electrical components behave linearly. Note that v(t) is an external input voltage signal, and vi(t) is the output voltage signal, respectively. 0000 1H 1Ω 1Ω M v(t) Figure 1. Electrical network for question 1. Use the currents ij, iz, and iz which flow through the inductors next to the red, green, and blue arrows, respectively, as the key...
at a zero.) 4.11 Consider the network in figure 4.14 to be a 2-input, 2-output filter with input vector x(n) and output vector s(n) a. Write state equations for the network. b. Find the state matrices A, B, C, D (all 2 x 2) c. Find the matrix system function (z) relating the vector z transforms X(z) and S(z), which is given by the general- ization of (4.4.13), i.e., H(z) D + C(zI - A) B. +oking s(n) (n) Z...
5. Figure 5 shows an electrical network, i) obtain the differential equations of the network and nofind the transfer function F(s) show that the same transfer function is obtained 12(s)/Vin(s); ii) Analyse the circuit in the s-domain and R. C i2(t) Vin(t) L Figure 5. Electrical Network 4. Find the transfer function X2(s)/F(s) of the spring-mass system shown in Figure 4. The system moves over a frictionless surface. h M2 M1 Figure 4. A 2 DOF spring-mass system over a...
A sequential network has one binary input x(t) and one binary
output y(t). The network produces y = 1, whenever input pattern x(t
− 3, t)= 1101 or 1011. Otherwise, the output y = 0.
(i) Draw the state diagram.
(ii) Write the state table
4 Pattern Recognizer A sequential network has one binary input x(t) and one binary output y(t). The network produces y -1, whenever input pattern r(t - 3,t)- 1101 or 1011. Other wise, the output y...
5. (10 points) Obtain the state model for the two-mass system whose equations of motion are given below. The function f(t) is the input to the system. Identify the A and B matrices.