Hello dears

Please guide me about:

I want to transform the original system into two subsystems (subsystem-1 and 2), where subsystem-1 includes the effects of actuator faults (fa) but is free from sensor faults and subsystem-2 only has sensor faults (fs).

X'=AX+BU+Efa

Y=CX+Dfs

T*E=[E1 0]T

S*D=[0 D2]T

S*C*T-1=[C1 0 ;0 C2]

How I can find the T and S?

Many thanks

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