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The state variable description of an autonomous system is, X = AX where X is a twodimensional vector and A is a matrix given by
The eigen values of A are
The system equations are given by
y(t) = [1 0]x(t)
The transfer function of the above system is
Consider the following statements related to state space analysis of control systems:
1. The zeros of the system can be obtained from eigen value of the system matrix.
2. A system is said to be observable if every state x_{0} can be exactly determined from the measurement of the output ‘y’ over a finite interval of time 0 ≤ t ≤ t_{f}.
3. The process by which transfer function changes to state diagram or state equations is called decomposition of the transfer function.
4. The state space techniques can be applied to linear and time invariant systems only.
Which of the above statements are correct?
Consider the system shown in figure below:
The system is
The transfer function of the system shown below is
The state equation for the circuit shown below is
The state space representation of the system represented by the SFG shown below is
The state variable representation of a system is given by:
The system is
23 docs263 tests

Test: The State Variable Analysis  3 Test  20 ques 
Test: PID Controllers Test  15 ques 
Test: Stability Test  15 ques 
Test: Signal Flow Graphs  1 Test  15 ques 
Test: Signal Flow Graphs  2 Test  10 ques 
23 docs263 tests

Test: The State Variable Analysis  3 Test  20 ques 
Test: PID Controllers Test  15 ques 
Test: Stability Test  15 ques 
Test: Signal Flow Graphs  1 Test  15 ques 
Test: Signal Flow Graphs  2 Test  10 ques 