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The electrical system shown in figure, converts input source current is(t) to output voltageV0(t) .
Current iL(t) in the inductor and voltage VC (t) across the capacitor are taken as the state variables, both assumed to be initially equal to zero i.e. iL (0) = 0 and VC (0) = 0 . The system is
  • a)
    Completely state controllable as well as completely observable.
  • b)
    Completely state controllable but not observable.
  • c)
    Completely state observable but not state controllable.
  • d)
    Neither state controllable nor observable.
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The electrical system shown in figure, converts input source current...
Given circuit is shown below,
Assume, iL(t) = x1 → First state variable
VC (t) = x2 → Second state variable
is (t) = u → Input of system
and V0 (t) = y → Output of system
Apply KCL at node N,
KVL in the loop between inductor and resistor,
From equation (i), (ii) and (iii), state variable modal can be written as,
Thus matrices A, B, and C are,
Condition of controllability,
Thus, system is uncontrollable.
Condition of observability,
Thus, system is un-observable.
So, the system is neither controllable nor observable.
Hence, the correct option is (D).
View all questions of this test
Most Upvoted Answer
The electrical system shown in figure, converts input source current...
Given circuit is shown below,
Assume, iL(t) = x1 → First state variable
VC (t) = x2 → Second state variable
is (t) = u → Input of system
and V0 (t) = y → Output of system
Apply KCL at node N,
KVL in the loop between inductor and resistor,
From equation (i), (ii) and (iii), state variable modal can be written as,
Thus matrices A, B, and C are,
Condition of controllability,
Thus, system is uncontrollable.
Condition of observability,
Thus, system is un-observable.
So, the system is neither controllable nor observable.
Hence, the correct option is (D).
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The electrical system shown in figure, converts input source current is(t) to output voltageV0(t) .Current iL(t) in the inductor and voltage VC (t) across the capacitor are taken as the state variables, both assumed to be initially equal to zero i.e. iL (0) = 0 and VC (0) = 0 . The system isa)Completely state controllable as well as completely observable.b)Completely state controllable but not observable.c)Completely state observable but not state controllable.d)Neither state controllable nor observable.Correct answer is option 'D'. Can you explain this answer?
Question Description
The electrical system shown in figure, converts input source current is(t) to output voltageV0(t) .Current iL(t) in the inductor and voltage VC (t) across the capacitor are taken as the state variables, both assumed to be initially equal to zero i.e. iL (0) = 0 and VC (0) = 0 . The system isa)Completely state controllable as well as completely observable.b)Completely state controllable but not observable.c)Completely state observable but not state controllable.d)Neither state controllable nor observable.Correct answer is option 'D'. Can you explain this answer? for Electronics and Communication Engineering (ECE) 2024 is part of Electronics and Communication Engineering (ECE) preparation. The Question and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus. Information about The electrical system shown in figure, converts input source current is(t) to output voltageV0(t) .Current iL(t) in the inductor and voltage VC (t) across the capacitor are taken as the state variables, both assumed to be initially equal to zero i.e. iL (0) = 0 and VC (0) = 0 . The system isa)Completely state controllable as well as completely observable.b)Completely state controllable but not observable.c)Completely state observable but not state controllable.d)Neither state controllable nor observable.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The electrical system shown in figure, converts input source current is(t) to output voltageV0(t) .Current iL(t) in the inductor and voltage VC (t) across the capacitor are taken as the state variables, both assumed to be initially equal to zero i.e. iL (0) = 0 and VC (0) = 0 . The system isa)Completely state controllable as well as completely observable.b)Completely state controllable but not observable.c)Completely state observable but not state controllable.d)Neither state controllable nor observable.Correct answer is option 'D'. Can you explain this answer?.
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