Observer with State-Space Block

[iqjavier]

Hi! I am implementing an observer using a state-space block in simulink. I am following a design I saw and what they did was place A for A, [B L] for B, C was set to eye(5,5), D was all zero, and the C was placed outside to allow reading three of the state variables. It works... but I am not sure how the [B L] is the same as adding the L outside.

 

[xnuke]

Mathematically, it looks wrong.

I'm assuming a plant with matrices (A, B, C, 0)

Given the Luenberger full state estimator equation with n estimated states given by the state vector xe:
dxe/dt = Axe + Bu +L(y-Cxe)
The state estimator should be (A-LC, [B L], [C Inxn], 0) with input vector [u y]' and output vector [ye xe]'.

xnuke
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