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昆虫フェロモン行動モデルに基づく
ガス源探索シミュレーション
13235007 石橋 正太郎
理工学部 機械システム工学科
2017/2/20
Introduction
Background
Disaster
Gas leakage accident
Proposal
Gas source search mobile robot
Gas leak source detection
Explosive detection
Alternative to Detection Dog
2 / 9
Research method
Search gas source on simulation
Gas diffusion model is necessary
Ant pheromone diffusion model
Behavioral algorithms construction
Insect pheromone source search behavior
model
3 / 9
Diffusion model of gas
Diffusion model
Ap(x, y, t) = Ap(x, y, t − 1) + γdif Gp(x, y, t − 1)
+ (1 − γvap)Fp(x, y, t − 1)
Gp(x, y, t − 1) = Ap(x + 1, y, t − 1) + Ap(x − 1, y, t − 1)
+ Ap(x, y + 1, t − 1) + Ap(x, y − 1, t − 1)
− 5Ap(x, y, t − 1)
Evaporation phenomenon
Fp(x, y, t) = γvapFp(x, y, t − 1)
(x,y)
(x,y+1)
(x-1,y)
(x,y-1)
(x+1,y)
Inflow
Outflow 4 / 9
Determination of parameters
Evaporation parameter
γvap = −0.0443E2
c + 0.0039Ec + 0.993
= 0.953
Ec:Ethanol concentration [%]
Diffusion parameter
γdif = 0.024
Semiconductor
gas sensor
gas sensor
Ethanol source
5 / 9
Gas diffusion simulation
Ethanol solution position
(x, y) = (0.5, 0.5)
Calculation time 120[s]
ppm
6 / 9
Insect pheromone behavior model
Ant
Random walk model
Male silkmoth
Straight-zigzag model
52%
16% 16%
16%
Forward
Backward
Left turn Right turn
Male
silkmoth
Surge
Zigzag
turn
7 / 9
Simulation
Simulation conditions
Mobile robot
Two gas sensors
Initial position
(x, y, θ) = (1.0, 1.0, π/2)
v = 0.4 [m/s]
ω = π/2 [rad/s]
Ethanol source position
(x, y) = (1.0, 3.5)
Goal area
Radius within 0.3 [m]
0 1 2
0
2
4
Ethanol source
x [m]
y[m]
Random walk
Straight-Zigzag turn
8 / 9
Conclusion
Gas source search simulation of mobile
robot
Insect pheromone behavior model
Gas diffusion simulation by diffusion
equation
Future work
A real machine verification
Reduce search time
Multiple gas sources
9 / 9
Gas density distinction
Compare GL and GR
If GL > GR ,Turn left
If GL < GR ,Turn right
GL,GR:Actual value [ppm]
SensorL SensorR
11 / 9
Semiconductor gas sensor
Measurement principle
Heater
Tin oxide
Resistance changes when exposed to gas
12 / 9
Convert sensor output to concentration
stirring fan
Arduino
Gas Sensor Gas inlet and
gas monitor inlet
10
1
10
2
10
3
10
4
10
-1
10
0
concentration[ppm]
RS(gas)/RS(air)
theoretical.data
sensor1.data
Sensor2.data
Sensor3.data
Sensor4.data
13 / 9
Derivation of evaporation parameters
γvap = −0.0443E2
c + 0.0039Ec + 0.993
Ec:Ethanol concentration in solution [%]
14 / 9
Derivation of diffusion parameters 1/3
0 200 400
0
5000
10000
time[s]
concentration[ppm]
(x,y)
0 200 400
0
5000
10000
time[s]concentration[ppm]
(x+1,y)
15 / 9
Derivation of diffusion parameters 2/3
0 200 400
0
5000
10000
time[s]
concentration[ppm]
(x-1,y)
0 200 400
0
5000
10000
time[s]concentration[ppm]
(x,y+1)
16 / 9
Derivation of diffusion parameters 3/3
0 200 400
0
5000
10000
time[s]
concentration[ppm]
(x,y-1)
Diffusion parameters
γdif = 0.024
17 / 9

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