SYSTEM DYNAMICS CONNECT
3rd Edition
ISBN: 9781264201730
Author: Palm
Publisher: MCG CUSTOM
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Chapter 5, Problem 5.18P
Given the state-variable model
and the output equations
obtain the expressions for the matrices A, B, C, and D.
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Chapter 5 Solutions
SYSTEM DYNAMICS CONNECT
Ch. 5 - Prob. 5.1PCh. 5 - Obtain the transfer function Xs/Fs from the block...Ch. 5 - Obtain the transfer function Xs/Fs from the block...Ch. 5 - Draw a block diagram for the following equation....Ch. 5 - Draw a block diagram for the following model. The...Ch. 5 - Referring to Figure P5.6, derive the expressions...Ch. 5 - Prob. 5.7PCh. 5 - Prob. 5.10PCh. 5 - Obtain the state model for the reduced-form model...Ch. 5 - Obtain the state model for the reduced-form model...
Ch. 5 - Prob. 5.13PCh. 5 - Obtain the state model for the transfer-function...Ch. 5 - Obtain the state model for the two-mass system...Ch. 5 - Prob. 5.16PCh. 5 - Put the following model in standard state-variable...Ch. 5 - Given the state-variable model...Ch. 5 - Given the following state-variable models, obtain...Ch. 5 - Prob. 5.20PCh. 5 - The transfer function of a certain system is...Ch. 5 - Prob. 5.22PCh. 5 - Prob. 5.23PCh. 5 - Use MATLAB to obtain a state model for the...Ch. 5 - Use MATLAB to obtain a state-variable model for...
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- Get the input-output model Get the Transfer Function Get representation in State Variablesarrow_forwardThe ratio of output to input of a system in Laplace domain is known as Transfer function . Select one: True Falsearrow_forwardTranslational mechanical systems Get the input-output model Get the Transfer Function Get representation in State Variablesarrow_forward
- Evaluate the following state-space system provided to find the corresponding transfer function G(s) = Y(s) / U(s)arrow_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_forwardFind the state-space equation of the following mass-springdamper system. Assume that the bottom surface is frictionless. The input is external forcef(t)and the output is displacementx1(t)arrow_forward
- A velocity of a vehicle is required to be controlled and maintained constant even if there are disturbances because of wind, or road surface variations. The forces that are applied on the vehicle are the engine force (u), damping/resistive force (b*v) that opposing the motion, and inertial force (m*a). A simplified model is shown in the free body diagram below. From the free body diagram, the ordinary differential equation of the vehicle is: m * dv(t)/ dt + bv(t) = u (t) Where: v (m/s) is the velocity of the vehicle, b [Ns/m] is the damping coefficient, m [kg] is the vehicle mass, u [N] is the engine force. Question: Assume that the vehicle initially starts from zero velocity and zero acceleration. Then, (Note that the velocity (v) is the output and the force (w) is the input to the system): 1. What is the order of this system?arrow_forwardA velocity of a vehicle is required to be controlled and maintained constant even if there are disturbances because of wind, or road surface variations. The forces that are applied on the vehicle are the engine force (u), damping/resistive force (b*v) that opposing the motion, and inertial force (m*a). A simplified model is shown in the free body diagram below. From the free body diagram, the ordinary differential equation of the vehicle is: m * dv(t)/ dt + bv(t) = u (t) Where: v (m/s) is the velocity of the vehicle, b [Ns/m] is the damping coefficient, m [kg] is the vehicle mass, u [N] is the engine force. Question: Assume that the vehicle initially starts from zero velocity and zero acceleration. Then, (Note that the velocity (v) is the output and the force (w) is the input to the system): A. Use Laplace transform of the differential equation to determine the transfer function of the system.arrow_forwardTranslational mechanical systems with the image values I need to get free body diagram Get the input-output model Get the Transfer Function Get representation in State Variablesarrow_forward
- For the given close-loop system transfer function, determine its stability using Routh-Hurwitz Test for Stability.1. What is the stability of the system? (Stable, Unstable, Marginally Stable)arrow_forwardFind a state space representation for the network shown below when the output is the displacement at M3.arrow_forwardThe transfer function of a system is the ratio between _________________ and ____________ in Laplace transform. a. Output and Input b. Input and Output c. Input and Feedback d. Output and Feedbackarrow_forward
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