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The state transition matrix of a control system is 
. The system matrix A is
. The system matrix A is- a)
- b)
- c)
- d)
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
The state transition matrix of a control system is. The system matrix ...
Concept:
The state transition matrix ϕ(t):
The state-transition matrix is defined as a matrix that satisfies the linear homogeneous state equation.
It represents the free response of the system.
The state-transition matrix ϕ(t) completely defines the transition of the states from the initial time t = 0 to any time t when the inputs are zero.
The state transition matrix is given by
ϕ(t) = L-1 [sI - A]-1 = eAt
Where A = state matrix
The state-transition matrix is dependent only upon the matrix A and, therefore, is sometimes referred to as the state transition matrix of A.
Properties of ϕ(t):
Calculation:
Given that
State transition matrix ϕ(t) =
Consider the sixth property of the state transition matrix
⇒ At t = 0, dϕ /dt = A
Where A is system or state matrix,
The state transition matrix ϕ(t):
The state-transition matrix is defined as a matrix that satisfies the linear homogeneous state equation.
It represents the free response of the system.
The state-transition matrix ϕ(t) completely defines the transition of the states from the initial time t = 0 to any time t when the inputs are zero.
The state transition matrix is given by
ϕ(t) = L-1 [sI - A]-1 = eAt
Where A = state matrix
The state-transition matrix is dependent only upon the matrix A and, therefore, is sometimes referred to as the state transition matrix of A.
Properties of ϕ(t):
Calculation:
Given that
State transition matrix ϕ(t) =
Consider the sixth property of the state transition matrix
⇒ At t = 0, dϕ /dt = A
Where A is system or state matrix,
Most Upvoted Answer
The state transition matrix of a control system is. The system matrix ...
Concept:
The state transition matrix ϕ(t):
The state-transition matrix is defined as a matrix that satisfies the linear homogeneous state equation.
It represents the free response of the system.
The state-transition matrix ϕ(t) completely defines the transition of the states from the initial time t = 0 to any time t when the inputs are zero.
The state transition matrix is given by
ϕ(t) = L-1 [sI - A]-1 = eAt
Where A = state matrix
The state-transition matrix is dependent only upon the matrix A and, therefore, is sometimes referred to as the state transition matrix of A.
Properties of ϕ(t):
Calculation:
Given that
State transition matrix ϕ(t) =
Consider the sixth property of the state transition matrix
⇒ At t = 0, dϕ /dt = A
Where A is system or state matrix,
The state transition matrix ϕ(t):
The state-transition matrix is defined as a matrix that satisfies the linear homogeneous state equation.
It represents the free response of the system.
The state-transition matrix ϕ(t) completely defines the transition of the states from the initial time t = 0 to any time t when the inputs are zero.
The state transition matrix is given by
ϕ(t) = L-1 [sI - A]-1 = eAt
Where A = state matrix
The state-transition matrix is dependent only upon the matrix A and, therefore, is sometimes referred to as the state transition matrix of A.
Properties of ϕ(t):
Calculation:
Given that
State transition matrix ϕ(t) =
Consider the sixth property of the state transition matrix
⇒ At t = 0, dϕ /dt = A
Where A is system or state matrix,
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The state transition matrix of a control system is. The system matrix A isa)b)c)d)Correct answer is option 'A'. Can you explain this answer?
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The state transition matrix of a control system is. The system matrix A isa)b)c)d)Correct answer is option 'A'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about The state transition matrix of a control system is. The system matrix A isa)b)c)d)Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The state transition matrix of a control system is. The system matrix A isa)b)c)d)Correct answer is option 'A'. Can you explain this answer?.
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