Control Systems Engineering
7th Edition
ISBN: 9781118170519
Author: Norman S. Nise
Publisher: WILEY
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Textbook Question
Chapter 3, Problem 7P
Represent the system shown in Figure P3.7 in state space where the output is
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1) Obtain a state space model of the system.
2) Given m =1 kg, k = 1 N/m and b = 1 N.s/m is the system
Controllable?
3) For what values of k,m,b the system is stable? Explain your answer?
Explain the state space function
Find: State-space representation
Note: Output of mechanical system is X3(t)
Given:
M1=1 kg, M2=1 kg, M3=1 kg
K1=1 N/m, K2=1 N/m
Fv1=1 N-s/m, Fv2=1 N-s/m, Fv3=1 N-s/m, Fv4=1 N-s/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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- This question asks for matrix form and NOT state space, but I don't understand what the difference between the two are.arrow_forward(system dynamics and control) q2 is given in image q3) ?arrow_forwardDescribe the concept of a transfer function in the context of system modeling. How is it used to represent a system's behavior?arrow_forward
- Find a state space representation for the network shown below when the output is the displacement at M3.arrow_forwardGet representation in State Variablesarrow_forwardDerive the state-space representation of the following system where the input is f(t) and the outputs isthe y1 =X1, y2=X2, y3=X3arrow_forward
- Obtain the state space model of the system shown below. Use equations for control theory state space modeling.arrow_forwardSYSTEM MODELLİNG AND PROCESSİNGarrow_forwardProblem 1: Write the transfer function of the systems. Problem 2: Write the differential equation and state space equation describing the following system. Please answer both the problems.arrow_forward
- Translational mechanical systems Get the input-output model Get the Transfer Function Get representation in State Variablesarrow_forward-Get the input-output model -Get the Transfer Function -Get representation in State Variablesarrow_forwardThe transfer function of the following system is, G(s)arrow_forward
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Ch 2 - 2.2.2 Forced Undamped Oscillation; Author: Benjamin Drew;https://www.youtube.com/watch?v=6Tb7Rx-bCWE;License: Standard youtube license