Multi Robot Navigation for environment cleaning application





Abstract




Mathematical Model


The Robot has a centralized communication with robots having complete knowledge of the map of the environment.

π‘₯Μ‡ = 𝑣 sin(ΞΈ)     𝑦̇ = 𝑣 π‘π‘œπ‘ (ΞΈ)     ΞΈΜ‡ = πœ”    
𝑉 = 𝑅(π‘‰π‘Ÿ + 𝑉𝑖 ) 2 π‘Š = 𝑅(π‘‰π‘Ÿ βˆ’ 𝑉𝑖 ) 𝐿 π‘₯Μ‡ = 𝑣 cos(πœƒ) 𝑦̇ = 𝑣 sin(πœƒ) πœƒΜ‡ = πœ”