For the transfer function: Find its state space representation.
9. For the transfer function:
Find its state space representation.
10. A system is described by the following differential equations:
Find its state space representation.
Homework Answers
2. Find the state space representation of the system represented by the following transfer function: (s...
2. Find the state space representation of the system represented by the following transfer function: (s +1.2) (s 15.8) (s +23) s(S 1.3) (s +7.2) (s + 47) G(s)- 3. Find the transfer function of the system with the following state space representation: 1 3.2 1.6 1(01) [-1 e) -7.4 2.4 -9.1l(O You may use your calculator, Matlab, or calculate by hand to find the following transfer functions: G1(s) 0,() R(S) G3(s) s) R(
3. a) Find a state space representation for a linear system represented by the following differen...
3. a) Find a state space representation for a linear system represented by the following differential equation, where v(t) denotes the input and y(1) is the output: b) Consider a linear system represented by the following differential equation, where x() denotes the input and y(t) is the output: )+4()+4y()x(t) i) Write down its transfer function and frequency response function i) What is the form of the steady state response of the above system due to a periodic input that has...
53.) Determine the transfer function of the system represented by the following space state representation. 3=...
53.) Determine the transfer function of the system represented by the following space state representation. 3= 13* = 11 (33+ [1] y = [1 01Q;}
HW #6 1. Answer the following questions. (a) Convert the transfer function to the state-space representation...
HW #6 1. Answer the following questions. (a) Convert the transfer function to the state-space representation 4 G)33+2 (b) Convert the state-space representation to the transfer function. X2 y=(11) Cl X2
3. a) Find a sate space representation for a linear system represented by the following different...
3. a) Find a sate space representation for a linear system represented by the following differential equation, where v(t) denotes the input and y(0) is the output: 4y(t)- 2(t)-2y(t)3(t) b) Consider a linear system represented by the following differential equation, where st) denotes the input and yt) is the output: )+4() +4y(t)x(t) Write down its transfer function and frequency response function i) What is the form of the steady state response of the above system due to a periodic input...
Application 1. Apply the state-space theory to determine a representation for the system.
(Course Objective 2.1, Outcome m) Application 1. Apply the state-space theory to determine a representation for the system. Differential Eq.1Differential Eq.2 Laplace Transform Transfer Function
10.Represent the translational mechanical system shown in the Figure in state- space, where xX3(t) is the...
10.Represent the translational mechanical system shown in the Figure in state- space, where xX3(t) is the output IN- 11.Find the state equations and output equation for the phase-variable representation of the transfer function G(s) 2s+1/(s2+7s+ 9) 12. Convert the state and output equations shown to a transfer function. -1.5 2 u(t) X = X 4 0 Y [1.5 0.625]x 13. For each system shown, write the state equations and the output equation for the phase- variable representation 8s10 sh25 t26...
Determine the transfer function of the system ***with an added inductor***. Then determine the state space...
Determine the transfer function of the system ***with an added
inductor***. Then determine the state space representation of the
system shown with an added inductor.
us Question Determine the Transfer Function of the systern in Problem #2, but now added into the circuit (figure below). (4 points) a) ith an inductor b) Determine the State-Space representation for the system with R. b6m
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 =...
Problem 4. Transfer function to state space form Find the state-space form of the following transfer...
Problem 4. Transfer function to state space form Find the state-space form of the following transfer func- tions (see Section 4.4.1 in the book). This requires zero computation, it just requires you understand how a SISO transfer function relates to the state space form shown in the book. a) = Y(s) _ 68 +3 G(s) s3 + 26s2 5s 50 b) Y(s) + 2s2 + 4s 6 U(s) s3 +12s +12
2. Find the state space representation of the system represented by the following transfer function: (s +1.2) (s 15.8) (s +23) s(S 1.3) (s +7.2) (s + 47) G(s)- 3. Find the transfer function of the system with the following state space representation: 1 3.2 1.6 1(01) [-1 e) -7.4 2.4 -9.1l(O You may use your calculator, Matlab, or calculate by hand to find the following transfer functions: G1(s) 0,() R(S) G3(s) s) R(
3. a) Find a state space representation for a linear system represented by the following differential equation, where v(t) denotes the input and y(1) is the output: b) Consider a linear system represented by the following differential equation, where x() denotes the input and y(t) is the output: )+4()+4y()x(t) i) Write down its transfer function and frequency response function i) What is the form of the steady state response of the above system due to a periodic input that has...
53.) Determine the transfer function of the system represented by the following space state representation. 3= 13* = 11 (33+ [1] y = [1 01Q;}
HW #6 1. Answer the following questions. (a) Convert the transfer function to the state-space representation 4 G)33+2 (b) Convert the state-space representation to the transfer function. X2 y=(11) Cl X2
3. a) Find a sate space representation for a linear system represented by the following differential equation, where v(t) denotes the input and y(0) is the output: 4y(t)- 2(t)-2y(t)3(t) b) Consider a linear system represented by the following differential equation, where st) denotes the input and yt) is the output: )+4() +4y(t)x(t) Write down its transfer function and frequency response function i) What is the form of the steady state response of the above system due to a periodic input...
10.Represent the translational mechanical system shown in the Figure in state- space, where xX3(t) is the output IN- 11.Find the state equations and output equation for the phase-variable representation of the transfer function G(s) 2s+1/(s2+7s+ 9) 12. Convert the state and output equations shown to a transfer function. -1.5 2 u(t) X = X 4 0 Y [1.5 0.625]x 13. For each system shown, write the state equations and the output equation for the phase- variable representation 8s10 sh25 t26...
Determine the transfer function of the system ***with an added
inductor***. Then determine the state space representation of the
system shown with an added inductor.
us Question Determine the Transfer Function of the systern in Problem #2, but now added into the circuit (figure below). (4 points) a) ith an inductor b) Determine the State-Space representation for the system with R. b6m
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 =...
Problem 4. Transfer function to state space form Find the state-space form of the following transfer func- tions (see Section 4.4.1 in the book). This requires zero computation, it just requires you understand how a SISO transfer function relates to the state space form shown in the book. a) = Y(s) _ 68 +3 G(s) s3 + 26s2 5s 50 b) Y(s) + 2s2 + 4s 6 U(s) s3 +12s +12
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