Gas Source Localisation by Constructing Concentration Gridmaps with a Mobile Robot

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Gas Source Localisation by Constructing Concentration Gridmaps with a Mobile Robot Achim Lilienthal, Tom Duckett University of Tübingen, WSI / Örebro University, AASS

Contents 1) Motivation 2) Mobile Nose: Main Problems 3) Creating Concentration Gridmaps 4) Experimental Setup 5) Gas Source Localisation 6) Conclusions

1 Motivation Mobile Nose Research Mobile Nose - Research physical properties of gas transport understand how animals use odours to navigate Mobile Nose - Interests gas distribution mapping gas source localisation

2 Gas Source Localisation Main Problems Delayed Response τ r 1.8 s Delayed Recovery τ d (fans) 11.1 s memory effect

2 Gas Source Localisation Main Problems Instantaneous Distribution Average Distribution Smyth & Moum 2001

3 Gridmaps vs. Concentration Gridmaps Occupancy Gridmap cells represent the belief that an area is occupied considerable overlap between single measurements Concentration Gridmap cells represent the relative concentration on average measurements cover a very small area measurements depend on the past

3 Creating Concentration Gridmaps Extrapolate on the Measurements Gaussian density function f Ix M = 1 2 π σ 2 e x 2 2 σ 2 Justification smooth time-constant structures of the gas distribution implicit integration due to the sensor characteristics

3 Creating Concentration Gridmaps Displacement of Cells δ t Hi,jL = x Hi,jL x t Determine Weightings

3 Creating Concentration Gridmaps Update Weighting Table W t Hi,jL = W t 1 Hi,jL +ω t Hi,jL Update Weighted Readings WR t Hi,jL = WR t 1 Hi,jL + r t ω t Hi,jL r t = R t R min R max R min

3 Creating Concentration Gridmaps Update Cells c t Hi,jL = WR t Hi,jL W t Hi,jL : W t Hi,jL W min Next Timestep

3 Creating Concentration Gridmaps Extrapolation on Sequential Readings

3 Creating Concentration Gridmaps Extrapolation on Sequential Readings

3 Creating Concentration Gridmaps Extrapolation on Sequential Readings

4 Experimental Setup Mark III Mobile Nose Stereo Architecture 2 equivalent sets Figaro TGS 2600 Figaro TGS 2610 Figaro TGS 2620 40 cm separation suction fans 30 cm

4 Experimental Setup Environment Laboratory Room, No Air Condition

5 Gas Source Localisation Predefinded Path Rectangular Spiral

5 Gas Source Localisation Predefinded Path Rectangular Spiral 2003 / 06 / 02 2003 / 06 / 03 2003 / 06 / 04

5 Gas Source Localisation Predefinded Path Rectangular Spiral

5 Gas Source Localisation Reactive Strategy Braitenberg Vehicle

5 Gas Source Localisation Reactive Strategy Braitenberg Vehicle 2002 / 12 / 01 2002 / 12 / 01

5 Gas Source Localisation Reactive Strategy Braitenberg Vehicle

5 Gas Source Localisation Braitenberg Vehicle PL Source in the Middle

5 Gas Source Localisation Braitenberg Vehicle EL Source in the Middle

6 Conclusions new algorithm to create concentration gridmaps shows time-invariant structures of gas distributions stabilises after ~ 30 min. overcomes the problem of little overlap of measurements takes into account the memory effect localisation facility max. concentration provides good estimate

Gas Source Localisation by Constructing Concentration Gridmaps with a Mobile Robot Achim Lilienthal, Tom Duckett Thank you!