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  3. 01 consider a single tank for flow rate dynamics can...

Question: 01 consider a single tank for flow rate dynamics can...

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01. Consider a single tank for flow rate dynamics can be modeled as follows control and water level regulation. A single tank subject to the pump level re Tank dynamics: ha= (0,-cVhA), Pump dynamics: Q -(av,- p where the parameters are defined as follows: h : water level c: valve resistance τ : time constant v,: applied control input voltage SAwater tank area Qp:supplied flow rate a: voltage scaling factor (all the coefficients are positive) (A). Please apply the linearization to the nonlinear system wit to an operation point hoop, V.) (10%). (B). Based on (A) and consider that the system output is the water height, please find the system state-space representation (including state equation and output equation). (596) (C). For the linearized model, find the transfer function Δ14(s)/Avp(s) (596) Δ14() , where Δ,(t)-β β is the step size (1 0%) and (D). Please derive the time domain solution
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