CONTROL SYSTEMS ENGINEERING
7th Edition
ISBN: 9781119185666
Author: NISE
Publisher: WILEY
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Chapter 3, Problem 1RQ
To determine
Two reasons for modelling system in state space.
Expert Solution & Answer
Explanation of Solution
To analyse the system, a mathematical model is needed. A mathematical model is defined as a model which describes the system with the help of mathematical concepts and language. There are various types of mathematical models. For analysis of linear system, transfer function model is used. But a nonlinear system cannot be analysed using the Laplace transform only. So, state space model is used for such cases. State-space model consists of set of input, output as well as state variables that are related to each other using first-order differential equation.
The two main reasons for using state-space model are:
- To analyse non-linear system.
- To do digital simulation.
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I need help answering parts a and b
Required information
Water initially at 200 kPa and 300°C is contained in a piston-cylinder device fitted with stops. The water is allowed to cool
at constant pressure until it exists as a saturated vapor and the piston rests on the stops. Then the water continues to cool
until the pressure is 100 kPa.
NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part.
Water
200 kPa
300°C
On the T-V diagram, sketch, with respect to the saturation lines, the process curves passing through the initial, intermediate, and final states of the water. Label the
T, P, and V values for end states on the process curves.
Please upload your response/solution by using the controls provided below.
A piston-cylinder device contains 0.87 kg of refrigerant-134a at -10°C. The piston that is free to move has a mass of 12 kg
and a diameter of 25 cm. The local atmospheric pressure is 88 kPa. Now, heat is transferred to refrigerant-134a until the
temperature is 15°C. Use data from the tables.
R-134a
-10°C
Determine the change in the volume of the cylinder of the refrigerant-134a if the specific volume and enthalpy of R-134a at the initial
state of 90.4 kPa and -10°C and at the final state of 90.4 kPa and 15°C are as follows:
= 0.2418 m³/kg, h₁ = 247.77 kJ/kg
3
v2 = 0.2670 m³/kg, and h₂ = 268.18 kJ/kg
The change in the volume of the cylinder is
m
Chapter 3 Solutions
CONTROL SYSTEMS ENGINEERING
Ch. 3 - Prob. 1RQCh. 3 - State an advantage of the transfer function...Ch. 3 - Define state variables.Ch. 3 - Define state.Ch. 3 - Define state vector.Ch. 3 - Define state space.Ch. 3 - What is required to represent a system in state...Ch. 3 - 8. An eighth-order system would be represented in...Ch. 3 - If the state equations are a system of first-order...Ch. 3 - Prob. 10RQ
Ch. 3 - What factors influence the choice of state...Ch. 3 - What is a convenient choice of state variables for...Ch. 3 - If an electrical network has three energy-storage...Ch. 3 - Prob. 14RQCh. 3 - Prob. 1PCh. 3 - Represent the electrical network shown in Figure...Ch. 3 - Prob. 3PCh. 3 - Represent the system shown in Figure P3.4 in state...Ch. 3 - Represent the rotational mechanical system shown...Ch. 3 - Represent the system shown in Figure P3.7 in state...Ch. 3 - 8. Show that the system of Figure 3.7 in the text...Ch. 3 - Find the state-space representation in...Ch. 3 - MATLAB ML 10. Repeat Problem 9 using MATLAB....Ch. 3 - For each system shown in Figure P3.9, write the...Ch. 3 - MATLAB ML
12. Repeat Problem 11 using MATLAB....Ch. 3 - 13. Represent the following transfer function in...Ch. 3 - Find the transfer function G(s) = Y(s)/R(s) for...Ch. 3 - MATLAB ML
15. Use MATLAB to find the transfer...Ch. 3 - 17. A missile in flight, as shown in Figure P3.10,...Ch. 3 - Given the dc servomotor and load shown in Figure...Ch. 3 - Prob. 20PCh. 3 - Prob. 23PCh. 3 - Experiments to identify precision grip dynamics...Ch. 3 - State-space representations are, in general, not...Ch. 3 - Figure P3.16 shows a schematic description of the...Ch. 3 - Prob. 28PCh. 3 - A single-pole oil cylinder valve contains a spool...Ch. 3 - Figure P3.17 shows a free-body diagram of an...Ch. 3 - 33. Parabolic trough collector. A transfer...
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