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Table 1 Rule of changing under scenario 2

From: A Novel Integrated Stability Control Based on Differential Braking and Active Steering for Four-axle Trucks

Conditions

← Right first wheel (if)

Left first wheel (if)

a1

\(B_{br1} > 0,\) \(A_{br1} > 0,\) \(\delta_{i} > 0\)

\(B_{bl1} < 0,\) \(A_{bl1} < 0,\) \(\delta_{i} \ge 0\)

a2

Impossible under \(\delta_{i} \ge 0\)

\(B_{bl1} < 0,\) \(A_{bl1} \ge 0,\) \(\delta_{i} \ge 0\)

a3

\(B_{br1} \le 0,\) \(A_{br1} > 0,\) \(\delta_{i} \ge 0\)

Impossible under \(\delta_{i} \ge 0\)

a4

Impossible under \(\delta_{i} \ge 0\)

Impossible under \(\delta_{i} \ge 0\)

Conditions

← Right wheel i = 2, 3, 4 (if)

Left wheel i = 2, 3, 4 (if)

a1

A) \(l_{i - 1} - l_{v} > 0,\) \(B_{bri} > 0,\) \(A_{bri} > 0,\) \(\delta_{i} > 0\)

B) \(l_{i - 1} - l_{v} < 0,\) \(B_{bri} > 0,\) \(A_{bri} > 0,\) \(\delta_{i} > 0\)

C) \(l_{i - 1} - l_{v} > 0,\) \(B_{bri} > 0,\) \(A_{bri} > 0,\) \(\delta_{i} = 0\)

D) \(l_{i - 1} - l_{v} = 0,\)\(\delta_{i} > 0\)

A) \(l_{i - 1} - l_{v} > 0,\) \(B_{bli} < 0,\) \(A_{bli} < 0,\) \(\delta_{i} > 0\)

B) \(l_{i - 1} - l_{v} < 0,\) \(B_{bli} < 0,\) \(A_{bli} < 0,\) \(\delta_{i} > 0\)

C) \(l_{i - 1} - l_{v} < 0,\) \(B_{bli} < 0,\) \(A_{bli} < 0,\) \(\delta_{i} = 0\)

D) \(l_{i - 1} - l_{v} = 0,\) \(\delta_{i} > 0\)

a2

\(l_{i - 1} - l_{v} > 0,\) \(B_{bri} > 0,\) \(A_{bri} < 0,\) \(\delta_{i} > 0\)

\(l_{i - 1} - l_{v} < 0\) \(B_{bli} < 0\) \(A_{bli} > 0\) \(\delta_{i} > 0\)

a3

A) \(l_{i - 1} - l_{v} < 0,\) \(B_{bri} \le 0,\) \(A_{bri} > 0,\) \(\delta_{i} > 0\)

B) \(l_{i - 1} - l_{v} < 0,\) \(B_{bri} < 0,\) \(A_{bri} > 0,\) \(\delta_{i} = 0\)

C) \(l_{i - 1} - l_{v} = 0,\) \(\delta_{i} = 0\)

A) \(l_{i - 1} - l_{v} > 0,\) \(B_{bli} \ge 0,\) \(A_{bli} < 0,\) \(\delta_{i} > 0\)

B) \(l_{i - 1} - l_{v} > 0,\) \(B_{bli} > 0,\) \(A_{bli} < 0,\) \(\delta_{i} = 0\)

C) \(l_{i - 1} - l_{v} = 0,\) \(\delta_{i} = 0\)

a4

\(B_{bri} = 0,\) \(A_{bri} = 0\) (Cannot use this wheel to brake)

\(B_{bli} = 0,\) \(A_{bli} = 0\) (Cannot use this wheel to brake)