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Table 1 Solution

From: Trajectory Tracking of Autonomous Vehicle with the Fusion of DYC and Longitudinal–Lateral Control

\(\frac{{k_{rl} S_{1} }}{{k_{fl} + k_{rl} }} \in m_{1}\)

\(F_{xfl} = \frac{{k_{rl} S_{1} }}{{k_{fl} + k_{rl} }}\), \(F_{xrl} = \frac{{k_{fl} S_{1} }}{{k_{fl} + k_{rl} }}\)

\(\frac{{k_{rr} S_{2} }}{{k_{fr} + k_{rr} }} \in m_{2}\)

\(F_{xfr} = \frac{{k_{rr} S_{2} }}{{k_{fr} + k_{rr} }}\), \(F_{xrr} = \frac{{k_{fr} S_{2} }}{{k_{fr} + k_{rr} }}\)

\(\frac{{k_{rl} S_{1} }}{{k_{fl} + k_{rl} }} \notin m_{1}\)

\(F_{xfl}\) is the closer one between two of the borders, \(F_{xrl} = S_{1} - F_{xfl}\)

\(\frac{{k_{rr} S_{2} }}{{k_{fr} + k_{rr} }} \notin m_{2}\)

\(F_{xfl}\) is the closer one between two of the borders, \(F_{xrr} = S_{2} - F_{xfr}\)