Question: I need help with this problem. Let me know if this would be better posted on a different subject. UDnsider a oontinuous time system in

I need help with this problem. Let me know if this would be better posted on a different subject.

I need help with this problem. Let me know if this would

UDnsider a oontinuous time system in state space form 3' = A: + be, 3; = CI where n and y are respectivelyr the input and output, and the state has dimension 11. Apply Euler's approximation for the derivative aft + it} 1ft} t] a t 1 to obtain a discrete time system in the form EH1 = F11- + Hum Hi = his. where u}, is the sample uct}, and ma is a 1::uro1Iq,r for the output gift} at time t = kt. 1You may assume that the initial conditions of the state vector are matched, i.e. In = IIEG} Find the parameters (F, 3,131} for the discrete system. Derive a formula for the approximation of y{k.t} for all k

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