Question

Problem 1) Derive differential equations governing the given fluid system for the system and present them in state space form. The density of the fluid is p. The fluid exiting the tank with capacitance C3, flows through a resistor R4 and then a long pipe of length L with an inertance I State vector X-[h h, h, h, q input vector u={qil qi2 qǐ3)" Output Vector Y (42 i2 41 92 h3 C. 93 Rs 3 You may solve the equations directly or use an electric circuit analogy. You may also use pressures in your derivation however the final results must be expressed with h's.

Answer 1

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