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Table 1 Initial and terminal conditions implemented in the CW application

From: Experimental evaluation of a system for assisting motorcyclists to safely ride road bends

State variable a

Boundary conditions b

Symbol

Description

ζ = 0

ζ = L

s n

Lateral position

s n (0)= ŝ n ( t k )

s n (L) = 0

α

Relative yaw angle

α(0)= α ̂ ( t k )

FREE

ϕ

Roll angle

ϕ(0)= ϕ ̂ ( t k )

FREE

u

Forward speed

u(0)=û( t k )

FREE

ω ϕ

Roll rate

ω ϕ (0)= ω ̂ ϕ ( t k )

ω ϕ (L) = 0

ω ψ

Yaw rate

ω ψ (0)= ω ̂ ψ ( t k )

FREE

a x

Longitudinal acceleration

a x (0)= a x ̂ ( t k )

a x (L) = 0

a ψ

Yaw acceleration

a ψ (0)= â ψ ( t k )

a ψ (L) = 0