Physics · Control Systems
A linear time-invariant (LTI) system is represented by the state space model: dxdt = AX + BU Y = CX + DU If n is the number of state variables, m is the number of inputs, and p is the number of outputs, then the observability matrix (Q0) is given by:
- 1Q0 = [C : CA : C2A .... Cn-1A]T✓
- 2Q0 = [B : AB : A2B .... An-1B]
- 3Q0 = [sI - A]
- 4Q0 = [CT : ATCT : (AT)2CT .... (AT)n-1CT]
Correct answer
Q0 = [C : CA : C2A .... Cn-1A]T
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