Control Systems Engineering
Control Systems Engineering
7th Edition
ISBN: 9781118170519
Author: Norman S. Nise
Publisher: WILEY
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Chapter 1, Problem 15RQ

Name three approaches to the mathematical modeling of control systems.

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3. Dynamics and control of two tank in series The following system is given: A water storage Tank 1 in which water is stored at atmospheric pressure and distributed by gravity flow in a downfeed in the same type water storage Tank 2. Where: h1, h2 is water level(m), S1, S2 is squared area of botom of the tank cilinders (m²),F1 in/F2in-water inflow, F1/F2out- water outflow(m³/h), k1, k: Valve constant (m²5/h), pipe length is 2.5 ommited. F1in h1 S1 Tank 1 k1 h2 F1 out F2 in S2 k2 F2 out Tank 2 3.1 Describe the dynamic behavior of a tank 1 in terms of ordinary differential equations. 3.2 Describe the dynamic behavior of the level h2/ tank 2/, due to the input flow Flin. in terms of ordinary differential equations. 3.3 Determine the transfer function of the level h2 as output, due to the input flow Flin. 3.4 Select the strategy to control the plant / level control system / with Flin as control action and output- level h2/ tank 2 / Design the proper instrumentation and Sketch the P&ID…
6. The figure below represents a time response of a control system. y(r) 0.63 What is it? a) Unit-step response of a Prototype First-Order System; b) Unit-Impulse Response of a Prototype First-Order System; c) Unit-Step Response of a Prototype Second-Order System; d) Unit-Impulse Response of a Prototype Second-Order System.
2. The state-equations of the control system shown in Fig.1 is: U(s) 2 Y(s) s(s? + 3s + 12)

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