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Homework Quiz #10 Consider the system shown in the block diagram below Convert the block diagram...
Convert following the transfer function into state space representation (Marks 5) 3 +45² T($) = 54...
Convert following the transfer function into state space representation (Marks 5) 3 +45² T($) = 54 +52 +7 Convert the following state space into a transfer function. (Marks 5) x = 11 * = x + ( u 21 y = [02]x + [2]u Evaluate the steady-state error of state-space system. (Marks 5) i [ 10] [21. *= 15 2]* +11 y = [ 02]x + [2]u Evaluate the steady-state error of state-space system. (Marks 5) -1 0x+lu x =...
5 For a system: Y() 10.4s? +47s +160 U(s) 5+148° +568 +160 use Matlab to do:...
5 For a system: Y() 10.4s? +47s +160 U(s) 5+148° +568 +160 use Matlab to do: (a) obtain the state-space representation of the system. (b) transfer the state-space representation into Modal canonical form. (c) find the eigenvalues of the system matrix A, determine the system stability (d) find the controllability and observability matrixes. Determine the controllability and observability.
i dont understand this problem. please show how to solve all parts using MATLAB. thank you. State-Space Representation and Analysis csys canon(sys,type) compute a canonical state-space realization...
i dont understand this problem. please show how to solve all
parts using MATLAB. thank you.
State-Space Representation and Analysis csys canon(sys,type) compute a canonical state-space realization type 'companion': controllable canonical form type modal: modal canonical form poles of a system controllability matrix observability matrix eig(A) ctrb(A,B) obsv(A,C) -7 L-12 0 EX A 2C-ioD0 uestions () Define the system in the state-space form (2) Determine the stability of the system (3) Determine the controllability and the observability of the system....
Consider the mechanical dynamics of a 2DOF rotary motion system shown below, where the torque is...
Consider the mechanical dynamics of a 2DOF rotary motion system shown below, where the torque is applied to the right shaft but the angular position of the left shaft is to be controlled, k is the stiffness of the linear rotary spring and b is the viscous friction coefficient of the ball bearing that supports the right shaft and acts as a linear viscous damper with rotary motion. The left shaft is only supported by the right shaft, so there...
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...
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...
c(s), A system has a block diagram as shown. The input is R(s) and the output...
c(s), A system has a block diagram as shown. The input is R(s) and the output is C(s). a) Using only the block diagram reduction method", find the transfer function of the system. b) Determine the characteristic function and the order of the system. c) Find the characteristic roots of the system. d) Find the natural frequency of the system. e) Find the damped natural frequency of the system. 8 * NOTE: All stages of block diagram reduction must be...
A) For the schematic above find the state-space equations that define this system. B) Using the...
A) For the schematic above find the state-space equations that
define this system.
B) Using the controllability rank test determine if this system
is controllable.
C) Using the observability rank test determine if this system is
observable.
1. Controllability and Observability L = 100 m R1 = 10 Ohms Mm R2 = 100 Ohms R4 = 100 Ohms ( = 100 microfarads ult) 1V R3 = 100 Ohms R5 = 100 Ohms Xı = i(t) y = valt) vi(t) =...
The heading control of the traditional bi-wing aircraft, shown in Figure I(2), is represented by the...
The heading control of the traditional bi-wing aircraft, shown in Figure I(2), is represented by the block diagram of Figure 1(b). Where the PD controller Ge(s) = (kp+Ts), where ky 10 and T, = 2 (a) Wind disturbance Controller Engine TA Aircraft dynamics RG) GG) (5+10) s(+20) (b) Fig.1: a. Bi-wing aircraft b. Control system a. Find the state-space representation of the control system b. Applying the state-space theories to determine the transfer matrix of this system. c. Test the...
Question 3 (30 marks) Consider the digital filter structure shown in the below figure: x[n yIn] 3 (a) Transform the giv...
Question 3 (30 marks) Consider the digital filter structure shown in the below figure: x[n yIn] 3 (a) Transform the given block diagram to the transposed direct form II one. 2 (b) Determine the difference-equation representation of the system 4 (c) Find the transfer function for this causal filter and state the pole-zero pattern (d) Determine the impulse response of the system 2 (e) For what values of k is the system stable? (f) Determine yln if k 1 and...
5. A block diagram of a control system is shown in Figure 3. [10 marks] (a)...
5. A block diagram of a control system is shown in Figure 3. [10 marks] (a) Find the transfer function of the control system. (b) Assign three poles of the system to -6, -8 and -7 by using time domain full-state feedback control design techniques. 10 marks] 10 15
Convert following the transfer function into state space representation (Marks 5) 3 +45² T($) = 54 +52 +7 Convert the following state space into a transfer function. (Marks 5) x = 11 * = x + ( u 21 y = [02]x + [2]u Evaluate the steady-state error of state-space system. (Marks 5) i [ 10] [21. *= 15 2]* +11 y = [ 02]x + [2]u Evaluate the steady-state error of state-space system. (Marks 5) -1 0x+lu x =...
5 For a system: Y() 10.4s? +47s +160 U(s) 5+148° +568 +160 use Matlab to do: (a) obtain the state-space representation of the system. (b) transfer the state-space representation into Modal canonical form. (c) find the eigenvalues of the system matrix A, determine the system stability (d) find the controllability and observability matrixes. Determine the controllability and observability.
i dont understand this problem. please show how to solve all
parts using MATLAB. thank you.
State-Space Representation and Analysis csys canon(sys,type) compute a canonical state-space realization type 'companion': controllable canonical form type modal: modal canonical form poles of a system controllability matrix observability matrix eig(A) ctrb(A,B) obsv(A,C) -7 L-12 0 EX A 2C-ioD0 uestions () Define the system in the state-space form (2) Determine the stability of the system (3) Determine the controllability and the observability of the system....
Consider the mechanical dynamics of a 2DOF rotary motion system shown below, where the torque is applied to the right shaft but the angular position of the left shaft is to be controlled, k is the stiffness of the linear rotary spring and b is the viscous friction coefficient of the ball bearing that supports the right shaft and acts as a linear viscous damper with rotary motion. The left shaft is only supported by the right shaft, so there...
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...
c(s), A system has a block diagram as shown. The input is R(s) and the output is C(s). a) Using only the block diagram reduction method", find the transfer function of the system. b) Determine the characteristic function and the order of the system. c) Find the characteristic roots of the system. d) Find the natural frequency of the system. e) Find the damped natural frequency of the system. 8 * NOTE: All stages of block diagram reduction must be...
A) For the schematic above find the state-space equations that
define this system.
B) Using the controllability rank test determine if this system
is controllable.
C) Using the observability rank test determine if this system is
observable.
1. Controllability and Observability L = 100 m R1 = 10 Ohms Mm R2 = 100 Ohms R4 = 100 Ohms ( = 100 microfarads ult) 1V R3 = 100 Ohms R5 = 100 Ohms Xı = i(t) y = valt) vi(t) =...
The heading control of the traditional bi-wing aircraft, shown in Figure I(2), is represented by the block diagram of Figure 1(b). Where the PD controller Ge(s) = (kp+Ts), where ky 10 and T, = 2 (a) Wind disturbance Controller Engine TA Aircraft dynamics RG) GG) (5+10) s(+20) (b) Fig.1: a. Bi-wing aircraft b. Control system a. Find the state-space representation of the control system b. Applying the state-space theories to determine the transfer matrix of this system. c. Test the...
Question 3 (30 marks) Consider the digital filter structure shown in the below figure: x[n yIn] 3 (a) Transform the given block diagram to the transposed direct form II one. 2 (b) Determine the difference-equation representation of the system 4 (c) Find the transfer function for this causal filter and state the pole-zero pattern (d) Determine the impulse response of the system 2 (e) For what values of k is the system stable? (f) Determine yln if k 1 and...
5. A block diagram of a control system is shown in Figure 3. [10 marks] (a) Find the transfer function of the control system. (b) Assign three poles of the system to -6, -8 and -7 by using time domain full-state feedback control design techniques. 10 marks] 10 15
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