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Simulation of Dynamic Systems with MATLAB and Simulink, 2nd Edition
book

Simulation of Dynamic Systems with MATLAB and Simulink, 2nd Edition

by Harold Klee, Randal Allen
April 2016
Intermediate to advanced content levelIntermediate to advanced
815 pages
31h 29m
English
CRC Press
Content preview from Simulation of Dynamic Systems with MATLAB and Simulink, 2nd Edition
(a) Find the matrix A in the state equations
_
x ¼ A
x for the continuous-time model.
(b) Find the matrix G in the discrete-time state equations
x
A
(n þ1) ¼Gx
A
(n) resulting from
the use of improved Euler integration to approximate the response of the continuous-time
system.
(c) The syst em parameters are k ¼4lb=ft and m ¼1 slug. Fill in the following table:
Nx
A
(n) T ¼0.05 s x(nT ) nx
A
(n) T ¼001 s x(nT )
00
15
210
315
420
525
630
735
840
945
10 50
3.25 By trial and error, determine an acceptable value for the step size T in simulating the nonlinear
pendulum response in Example 3.12 using implicit Euler integration. The initial conditions
are x
1
(0) ¼p=6 rad and x
2
(0) ...
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Publisher Resources

ISBN: 9781439836736