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Dynamical analysis and controllers performance evaluation for single degree-of-freedom system

Open Access
|Aug 2020

Figures & Tables

Figure 1:

SDOF mechanical system.
SDOF mechanical system.

Figure 2:

MSDS without controller.
MSDS without controller.

Figure 3:

MSDS with FLC.
MSDS with FLC.

Figure 7:

Output variable.
Output variable.

Figure 4:

FIS (fuzzy inference system).
FIS (fuzzy inference system).

Figure 5:

1st input displacement (error) variable.
1st input displacement (error) variable.

Figure 6:

2nd input velocity (change in error) variable.
2nd input velocity (change in error) variable.

Figure 8:

FIS in rule viewer.
FIS in rule viewer.

Figure 9:

Surface viewer for error vs. change of error.
Surface viewer for error vs. change of error.

Figure 10:

Displacement without controlled and with controlled.
Displacement without controlled and with controlled.

Figure 11:

Velocity without controlled and with controlled.
Velocity without controlled and with controlled.

Figure 12:

Displacement without controlled and with controlled.
Displacement without controlled and with controlled.

Figure 13:

Velocity without controlled and with controlled.
Velocity without controlled and with controlled.

Figure 14:

Displacement without controlled and with controlled.
Displacement without controlled and with controlled.

Figure 15:

Velocity without controlled and with controlled.
Velocity without controlled and with controlled.

Figure 16:

Control signal.
Control signal.

Figure 17:

Chart of percentage reduction in response.
Chart of percentage reduction in response.

Values of system parameters_

SymbolValueUnit
m 2kg
k 250N/m
b 2.236

Response of SDOF system and percentage reduction in response output_

Case 3
TypeAbsolute maximum displacement (m)Reduction (%)Absolute maximum velocity (m/s)Reduction (%)
Without controller8.465 × 10−3 1.206 × 10−1
With controller
 FLC1.689 × 10−2 99.527%1.99 × 10−1 65.008%
 LPID1.070 × 10−2 26.402%1.229 × 10−1 1.907%
 NPID6.205 × 10−3 26.698%5.640 × 10−3 95.323%

Values of gains_

Proportional gain (kp)Integral gain (ki)Derivative gain (kd)
0.420.080.28
Language: English
Page range: 1 - 12
Submitted on: Jul 2, 2020
Published on: Aug 12, 2020
Published by: Professor Subhas Chandra Mukhopadhyay
In partnership with: Paradigm Publishing Services
Publication frequency: 1 times per year

© 2020 Ivan Isho Gorial, published by Professor Subhas Chandra Mukhopadhyay
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.