Consider the system simulation diagram of Figure 1. This figure shows a simulation diagram form used in the area of automatic control where x[n] is the input, y[n] is the output, and D is the unit shift (or delay) operator.
1. Suppose x[n] = 0.8 nµ[n] and assuming zero initial conditions (i.e y[−1] = y[−2] = 0), write a MATLAB program that solves for y[n], 0 ≤ n ≤ 10. Plot both the input signal x[n] and the output signal y[n] for the range 0 ≤ n ≤ 10 on different axes.
2. Translate the system into a state-space form and using SIMULINK, develop an alternative simulation diagram for the control system. Plot the system responses under the same conditions as above.
*Please answer with the actual code and the simulink design. I really can't figure this out and would appreciate the help.
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Consider the system simulation diagram of Figure 1. This figure shows a simulation diagram form used in the area of automatic control where x[n] is the input, y[n] is the output, and D is the unit shi...
A system (a plant) is represented as a state-space model in the form: dt (1) Deduce and draw a si...
A system (a plant) is represented as a state-space model in the form: dt (1) Deduce and draw a simulation diagram for the system. Implement it afterwards in Simulink. For a unit stepin- put, simulate and plot the trajectories in the state space, and the output y(t) of the system, for a set of four different initial conditions: x(0)-[0 ofT,x(0-[1 o, x(0-0 IT,x(0-[0 I]T
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(20 pts.) Determine the response of the system described by the difference equation 7. 1 1 y(n) yn 1)n2)x(n) n for input signal x(n) = (;) u(n) under the following initial conditions y(-1) 1, y-2) 0.5
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Name: 10. [8 points] Consider a discrete-time LTI system with input x[n] and out- put y[n]. When the input signal x[n] = (6)" is applied to the system, the output signal is y[n] = 0 for all n When the input signal xn] (3)" u[n] is applied to the system, the output signal is y[n] = A 8[n] + 2 (5)" u[n] for all n, where A is a constant number a) Find A. b) Find the impulse response of...
A system (a plant) is represented as a state-space model in the form: dt (1) Deduce and draw a simulation diagram for the system. Implement it afterwards in Simulink. For a unit stepin- put, simulate and plot the trajectories in the state space, and the output y(t) of the system, for a set of four different initial conditions: x(0)-[0 ofT,x(0-[1 o, x(0-0 IT,x(0-[0 I]T
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System Description: The figure 1 and 2 below show, respectively, components and block diagram of a motor and the measurements of velocity (via the tacho unit) and position (via the potentiometer). n represents the gearbox ratio between the rotating shaft and the output shaft. The left-hand side of the diagram represents the controller. A reference set point for the rotating shaft is entered in degrees and this is equivalent voltage. The error is calculated by subtracting the measured...
(2) Consider the causal discrete-time LTI system with an input r (n) and an output y(n) as shown in Figure 1, where K 6 (constant), system #1 is described by its impulse response: h(n) = -36(n) + 0.48(n- 1)+8.26(n-2), and system # 2 has the difference equation given by: y(n)+0.1y(n-1)+0.3y(n-2)- 2a(n). (a) Determine the corresponding difference equation of the system #1. Hence, write its fre- quency response. (b) Find the frequency response of system #2. 1 system #1 system #2...
Consider three systems with the following input-output
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Suppose the signal x[n] = δ[n-1] + cos(nn/6+ π/4) is input to the LTI system described by the equation y[n][n] +r|n - 0.5yn -. Determine a closed-form expression for yn]
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LA
(20 pts.) Determine the response of the system described by the difference equation 7. 1 1 y(n) yn 1)n2)x(n) n for input signal x(n) = (;) u(n) under the following initial conditions y(-1) 1, y-2) 0.5
(20 pts.) Determine the response of the system described by the difference equation 7. 1 1 y(n) yn 1)n2)x(n) n for input signal x(n) = (;) u(n) under the following initial conditions y(-1) 1, y-2) 0.5
Name: 10. [8 points] Consider a discrete-time LTI system with input x[n] and out- put y[n]. When the input signal x[n] = (6)" is applied to the system, the output signal is y[n] = 0 for all n When the input signal xn] (3)" u[n] is applied to the system, the output signal is y[n] = A 8[n] + 2 (5)" u[n] for all n, where A is a constant number a) Find A. b) Find the impulse response of...
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